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GP E Getting Started Auto Meshing

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    RM BridgeProfessiona

    GETTING START

    R

    l Engineering Software for Bridges of all Ty

    D - AUTO MESHING

    Bridge V8i

    uly 2013

    es

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    RM Bridge

    Getting Started - Auto Meshing I

    Bentley Systems Austria

    Content

    1 General .............................................................................................................. 1-1

    1.1

    The Example (Tutorial) .............................................................................. 1-4

    2 Composite cross section ..................................................................................... 2-1

    2.1 Create steel boundary of Part 1 .................................................. ................. 2-1

    2.2 Create concrete boundary of Part 2 ............................................................. 2-4

    2.3 Place boundary subdivision points to composite boundaries (Parts 1+2) ..... 2-5

    2.4 Placing stiffeners........................................................................................ 2-6

    2.5 Generate auto-elements .............................................................................. 2-9

    2.6 Fine-tuning of the auto-mesh .............................. ...................................... 2-10

    3

    Cross section with three voids ........................................................... ............... 3-19

    3.1 Create outer boundary of Part 1 ................................................................ 3-19

    3.2 Create holes ............................................................................................. 3-21

    3.3 Create initial mesh ................................................................................... 3-22

    3.4 Fine-tuning of the auto-mesh .............................. ...................................... 3-22

    3.5 Shear lags ................................................................................................ 3-25

    4 Cross section defined by point-wise boundaries ............................................... 4-29

    4.1 Create outer boundary of Part 1 ................................................................ 4-29

    5

    Useful informations ........................................................................................ 5-38

    5.1 Meshing of cross section boundary where border contains curved lines .... 5-38

    5.2 Referencing of auto-elements ................................................................... 5-41

    5.3 Some of advantages against one-by-one element creation......................... 5-42

    5.4 Element nodes along bridge axis .............................................................. 5-44

    5.5 Unique intersections ................................................................................. 5-44

    5.6 Zero degree rule ....................................................................................... 5-45

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    RM Bridge General

    Getting Started - Auto M e s h i n g 1-1

    Bentley Systems Austria

    1 General

    The following example will show creation of cross section elements using boundaries and

    auto-meshing for a small bridge structure. All input steps are described in detail and weinvite you to follow the procedure as follows to get a feeling for the program use.

    Definition:

    1. Two new types of construction lines

    Circle and circular arc.

    2. Boundaries

    Geometrical definition of the boundary, boundary line segments and subdivision

    points.

    3. Use of line-wise or point-wise defined boundaries

    4. Auto-Mesh

    Geometrical definition of auto-elements and their relation to boundaries.

    5.

    Stiffeners and shear lags at the boundaryTheir relation to boundary and elements.

    Needed knowledge (basic knowledge is enough):

    Project creation

    How to create axis (and stations)

    Part definition

    Variable definition

    Cross section definition

    How to create construction lines

    How to place stiffener at element

    Element definition

    Any border around elements of cross section is calledBoundary.

    The border around elements that define single part of the cross section is called Outer

    boundary. All elements within outer boundary are called auto-elementsand procedure for

    their construction is called auto-meshing.

    Border inside of outer boundary that does not contain any element is calledBoundary hole.

    Border of element edges inside of outer boundary that are not defining boundary hole is

    calledBoundary constraint.

    Boundary constraint can be closed or opened (and is called Closed constraint inside of

    outer boundaryor Opened constraint inside of outer boundaryrespectively).

    Boundary is defined by set of connected boundary line segments.

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    RM Bridge General

    Getting Started - Auto M e s h i n g 1-2

    Bentley Systems Austria

    Every boundary line segment contains begin point, end point and optionally additional

    boundary line segment subdivision points. We will name begin and end point as subdivision

    points too, the only difference is that they are read-only for the user.

    There exist two different approaches how to define boundary:

    Line-wisedefinition

    o Boundary line segment is defined by construction line. Begin and end point

    of line segment are defined by intersection of underlying construction line

    and other two construction lines.

    o Boundary line segment can be part of straight line, complete circle or part of

    it, complete arc or part of it.

    o Boundary line segment can be split into more line segments. Split point is

    defined with intersection with given construction line.

    Point-wisedefinition

    o Boundary line segment and its begin and end point are defined by two con-

    struction lines intersections.o Boundary line segment can be rounded with given radius.

    o Boundary point can be rounded or cut-off with given radius.

    Line-wise and point-wise boundaries can be used at same cross section.

    Orientation of the boundary is not important for meshing (boundary hole does not need to

    have opposite orientation than its outer boundary and closed constraint can have opposite

    orientation than its outer boundary).

    There are two new types of construction lines available for easier creation of cross section

    with curved borders (they are useful only for line-wise defined boundaries since point-wise

    boundaries accept radius as a parameter):

    1. Circle with given radius where centre is defined by intersection of two construction

    lines.

    2. Arc with given radius where two bow points are defined by intersections between

    two construction lines. Bow is generated from first to second point in clockwise di-

    rection if radius is positive. Bow contains two legs (extended bow lines to infinity)

    that can be turned off.

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    RM Bridge

    Getting Started - Auto M e s h i n g

    Bentley Systems

    Icons for circle and a

    creation icons.Note: If you are familiar w

    change element edge to ap

    auto-meshing generated ele

    Instead use circle and arc co

    c creation can be found next to other c

    ith one-by-one element creation, you probabl

    ear as curved edge. There is no way to chan

    ents, because their edges depend on border of

    struction lines for boundary creation (and auto-

    General

    1-3

    Austria

    nstruction line

    know how to

    ge curvature of

    the boundaries.

    meshing).

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    RM Bridge General

    Getting Started - Auto M e s h i n g 1-4

    Bentley Systems Austria

    1.1 The Example (Tutorial)

    A composite cross section and its elements will be created:

    We will also place one stiffener to steel part of the cross section.

    Also cross section with three voids and its elements will be created:

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    RM Bridge General

    Getting Started - Auto M e s h i n g 1-5

    Bentley Systems Austria

    We will also place two shear lags to the boundary.

    Last example will be creation of cross section using point-wise boundary definition:

    There are boundaries and auto-meshing icons available on top of preview window:

    First row contains general line-wise boundary actions, second row general point-wise

    boundary actions, third row deals with boundary subdivision points and fourth row contains

    actions for element creation.

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    RM Bridge Composite cross section

    Getting Started - Auto M e s h i n g 2-1

    Bentley Systems Austria

    2 Composite cross section

    First example shows how to create composite cross section (1+2=3) and their elements us-

    ing line-wise boundaries and auto-meshing. Only few mouse clicks and parameters areenough to get good mesh, but we will use more steps in this example just to show all possi-

    bilities that auto-meshing provides.

    2.1 Create steel boundary of Part 1

    Lesson 01 Some of the data is

    already prepared, for

    example needed con-

    struction lines.

    Select Compositecross section. Construc-

    tion lines are ready for

    boundary creation.

    Pick Outer boundary

    icon.

    Activate Part 1

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    RM Bridge Composite cross section

    Getting Started - Auto M e s h i n g 2-2

    Bentley Systems Austria

    Before you start with whole process for automatic generation of elements using bounda-

    ries, you should remember one difference to well-known approach where you created

    elements one-by-one:

    For elements made one-by-one: you had to select sequence of intersection points

    between construction lines.

    For line-wise boundary construction: select sequence of construction lines.

    Click at construction

    line CL_5 to start creat-

    ing the outer boundary

    for part 1.

    Note to start by clicking the construction line inside the range of the boundaryto be

    drawn to get the proper direction of the circumference of the boundary lines describing

    the cross-section. For the following boundary lines the program will show the direction

    of the boundary line being drawn when moving the cursor over a construction line.

    Move with the mouse

    over construction line

    CL_14 (in downwards

    direction) and click the

    mouse to add new

    boundary line segment.

    In this way the construction lines describing the circumference of the cross-section can

    be selected one after another in consecutive order.

    In this case we continue in clock-wise order as follows:

    CL_10, CL_72, CL_8, CL_9, CL_12, CL_6, CL_11, CL_9, CL_7, CL_73, CL_10,

    CL_13.

    (Of course counter-clockwise circumference would also be possible).

    Important: When you finish with the sequence, do not click at first construction line

    CL_5 again. That would generate wrong boundary with duplicated CL_5 (boundary

    would not be closed or would be closed wrong). Closing is done automatically by Mod-

    eler when you press ENTER (it connects boundary line segment at CL_13 with line seg-

    ment at CL_5).

    You can always UNDO the selection with pressing BACKSPACE key. Pressing ESCkey will cancel operation and delete the boundary.

    If you see dotted boundary lines it means that boundary could be closed this way if you

    would press ENTER key.

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    RM Bridge Composite cross section

    Getting Started - Auto M e s h i n g 2-3

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    Press ENTER key to

    complete boundary

    creation. Dialog with

    general boundary prop-

    erties appears. You canset different parameters

    (part, boundary type,

    boundary parent, shear

    lag properties, color

    etc.). After clicking at

    Ok button boundary

    is closed. Modeler

    closes the boundary at

    the point of intersection

    between last and first

    selected construction

    line - you should seeclosing lines as dotted

    lines before you

    pressed ENTER.

    Boundary for part 1 is

    created.

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    RM Bridge Composite cross section

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    2.2 Create concrete boundary of Part 2

    Lesson 02 Activate Part 2. We are

    still in action to create

    outer boundary...

    Click at construction

    line CL_1 to start creat-

    ing the outer boundary

    for part 2.

    Now continue with selection of construction lines in following order:

    CL_4, CL_32, CL_64, CL_5, CL_65, CL_21, CL_3.

    Press ENTER key to complete boundary creation and press Ok button in next dialog.

    Boundary for part 2 is

    created.

    You can see that boundary line segment at construction line CL_5 was split to three

    boundary line segments. This is necessary because element edges of composite parts 1

    and 2 will have to match.

    Also boundary line segment at construction line CL_1 was split to three boundary line

    segments. This may be useful if points at opposite sides of boundary should move paral-

    lel. In this way points of middle boundary line segment at CL_1 will move parallel topoints of middle boundary line segment at CL_5.

    Split of entire boundary or boundary line segment can also be done by user. Just use

    icons for splitting. To undo the split ie. to merge two consecutive boundary

    line segments that use common construction line, icon can be used.

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    RM Bridge Composite cross section

    Getting Started - Auto M e s h i n g 2-5

    Bentley Systems Austria

    2.3 Place boundary subdivision points to composite boundaries(Parts 1+2)

    If we would generate mesh at this moment, some thin triangles would be generated that are

    not expected as elements. Therefore we need additional points at the boundary. You canplace points individually, globally over entire boundary with maximal given distance be-

    tween them or with special approach that looks for opposite edges. For composite cross

    sections, third method is very useful.

    Lesson 03

    Select icon for bound-

    ary subdivision. Then

    select upper boundary

    that defines Part 2.

    Dialog for placement of

    subdivision points ap-

    pears. Keep current

    selection and press

    Ok.

    The above method sends rays from every boundary line seg-

    ment begin point in horizontal and vertical direction. Ray hassome range and width. If entire ray hits single boundary line

    segment where no subdivision points already exist, it creates

    subdivision point at intersection coordinates.

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    RM Bridge Composite cross section

    Getting Started - Auto M e s h i n g 2-6

    Bentley Systems Austria

    We are still in action

    for placing boundary

    subdivision points. Just

    click at lower steel

    boundary of Part 1 andpress Ok in dialog. In

    this case subdivision

    points at coordinates (-

    0.0275, -0.3) and

    (0.0275, 0.3) were for

    example created. Simi-

    lar happened at lower

    side of the boundary

    (noted with green brush

    in the picture here).

    This special approach does not stop here. If new point is also

    added to neighbouring boundary, the process is repeated there

    too. In this particular example two additional points were cre-

    ated at boundary of Part 2 at coordinates (-0.0275, 0.0) and

    (0.0275, 0.0).

    2.4 Placing stiffeners

    Stiffeners can be placed at the boundary. If elements are not generated yet, stiffener refer-

    ences the boundary. After auto-elements within boundary are created, stiffeners change the

    reference to touched elements. If user deletes mesh elements, stiffener reference changes

    back to the boundary.

    Lesson 04

    Select stiffener at

    boundary line segment

    icon from top list of

    action icons. The icon

    can be found under

    normal stiffener icongroup.

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    RM Bridge Composite cross section

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    Proceed similar as

    when placing normal

    stiffener at normal

    element. The only dif-

    ference is that insteadof selecting element

    edge, boundary line

    segment has to be se-

    lected. Click at long

    right vertical boundary

    line segment of steel

    part that is sitting at

    construction line CL_8.

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    RM Bridge Composite cross section

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    Click at construction

    line CL_67 that inter-

    sects the boundary.

    Chose the side (for ex-

    ample click somewherebelow CL_67). Dialog

    with stiffener parame-

    ters opens. Just confirm

    and stiffener will be

    placed.

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    RM Bridge Composite cross section

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    2.5 Generate auto-elements

    We are now ready to mesh both boundaries.

    Lesson 05

    Select Create boundary

    elements from top ac-

    tion icons.

    Select boundary of part

    1.

    Dialog with question

    appears (only if first

    time meshing of par-

    ticular boundary is exe-

    cuted). We would like

    to connect all points

    directly without gener-

    ating elements thathave nodes in interior

    of the boundary. There-

    fore we say No. Ele-

    ments should be visible

    now.

    Repeat the same proce-

    dure for part 2 too. We

    are still in action to

    mesh, therefore just

    click at the boundary

    and above dialog ap-pears again. Mesh for

    Part 2 boundary should

    be visible after pressing

    No.

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    RM Bridge Composite cross section

    Getting Started - Auto M e s h i n g 2-10

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    2.6 Fine-tuning of the auto-mesh

    User may not completely agree with the mesh that was generated. There may be too largeelements, or he wants smaller elements at particular area because of detailed FEM calcula-

    tion. There are many ways how to improve the quality of the mesh.

    Lesson 06

    Let us concentrate at

    very small area on top

    of the steel boundary of

    Part 1. As you can see,

    reference point wasalready prepared at

    intersection between

    construction lines CL_2

    and CL_10.

    If we select that refer-

    ence point and click at

    Edit icon on left side,

    we get information in

    separate dialog that

    touched elements

    around that pointshould be refined. Re-

    finement is shown with

    dotted lines within the

    element.

    Another way for refinement is to place set of subdivision points at particular boundary line

    segment.

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    RM Bridge Composite cross section

    Getting Started - Auto M e s h i n g 2-11

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    Let us concentrate at

    both long vertical line

    segments in middle of

    steel boundary. We

    would like to generate4 points at line on left

    and right sides. To do

    this, click first at Sub-

    division points at line

    segment icon.

    Select long vertical line

    segment of boundary of

    Part 1.

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    Dialog appears where

    we can set range of the

    points at line segment

    and distance between

    them. We declare 6points. Ignore first and

    last pivot point should

    be checked on, because

    every line segment al-

    ready has a read-only

    point at relative posi-

    tion 0.0 and 1.0, and we

    do not want to generate

    duplicates. Such input

    will generate 4 new

    points within line seg-

    ment. Press Applybutton and points

    should be placed and

    boundary automatically

    remeshed.

    We can see that some thin triangles have been generated, be-

    cause subdivision points at left long vertical line segment are

    missing. There are two ways how to place them.

    We can use same ap-

    proach as above or do it

    different way: Click aticon Mirror subdivi-

    sion points in bound-

    ary icon group. We will

    mirror the points be-

    cause orientation of

    both line segments is

    opposite (one is show-

    ing down and another

    showing up). This is

    the only situation

    where user really cares

    about orientation of theboundaries.

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    RM Bridge Composite cross section

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    Select source line

    segment where points

    already exist and then

    target line segment

    where we want to over-ride subdivision with

    source points. After this

    operation we get 6 ele-

    ments with reasonable

    size.

    Easy tuning of the mesh can be done by individually (interactive) placing of subdivision

    points. Subdivision points can be defined in three ways:

    1. By relative distance from begin of the line segment (begin of line segment has value

    0.0 and end has 1.0). To place point at middle of line segment, relative value 0.5 has

    to be used. If we place multiple points at once (as explained in examples above),

    such type of subdivision points is used. Relative value can be set by variable too asit will be shown later.

    2. By absolute distance from begin of line segment. Absolute value can be set by vari-

    able too as it will be shown later.

    3. By construction line. Point is placed at intersection between boundary line segment

    and given construction line.

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    RM Bridge Composite cross section

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    Lesson 07

    Let us concentrate at

    upper boundary (Part2). We would like to

    have more elements in

    middle in the way that

    their width somehow

    matches with width of

    the steel.

    Select Subdivision

    point defined by con-

    struction line.

    Click sequentially at

    four intersections be-

    tween boundary of part

    2 and construction lines

    CL_7 and CL_8. After

    every click boundary

    and its neighbouring

    boundaries are

    remeshed.

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    RM Bridge Composite cross section

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    Hint: To delete the

    subdivision point (of

    any type) during inter-

    active placement of the

    points, just hold leftSHIFT and click at

    existing subdivision

    point. Remesh will be

    executed immediately.

    Another way to delete

    the points interactively

    is to chose Remove

    subdivision point icon

    and click at points.

    Another way for modifying subdivision is doing it from boundary line segment edit dialog.

    Lesson 08

    Let us concentrate at

    top of lower boundary

    (Part 1). We would like

    to have more elements

    in rounded area. There-

    fore select left curved

    boundary line segment

    that sits at arc construc-tion line CL_73.

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    RM Bridge Composite cross section

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    Click at Edit icon on

    left side and Edit

    boundary dialog will

    open. It has three tab

    pages. Line segmentpage is selected be-

    cause we selected line

    segment only (not

    complete boundary).

    We can see that

    rounded element is notwell approximated to

    the boundary arc,

    which is additional

    reason to subdivide this

    line segment with addi-

    tional points. We can

    easily add new point.

    Just select any row in

    the table of points and

    press Copy icon. It

    creates a copy of se-

    lected point at samecoordinates. The status

    of newly created point

    in last column of the

    table is Overlap, be-

    cause it overlaps with

    another point. (Hint: we

    could easy delete over-

    lapped points using

    Purge icon).

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    RM Bridge Composite cross section

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    Select newly created

    point in the list. Point is

    also highlighted in pre-

    view window. Now

    correct Relative pa-rameter of the point to

    0.4 in the dialog and

    press ENTER key. You

    will see that point in

    preview window is

    placed near middle of

    the arc. Do not worry if

    mesh was not recreated

    with new point, be-

    cause preview window

    shows only temporary

    data.

    We would like to add

    point to opposite arc

    line segment too; there-

    fore two icons are

    available for switching

    to next or previous line

    segment. Just click next

    until you move to op-

    posite arc line segment.

    You may be asked to

    save your changes be-fore moving.

    Insert new point as ex-

    plained before, but set

    its relative value to 0.6.

    (Hint: it is possible to

    bind relative or abso-

    lute value with cross

    section Variable).

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    The dialog contains

    Ignore when meshing

    checkbox for every

    boundary line segment.

    Unfortunately all over-lapped line segments

    are already purged

    when creating the

    mesh, but there may be

    the reason where user

    wants to say if particu-

    lar line should not be

    considered during mesh

    generation. Example

    may be if particular line

    segment of boundary

    that defines shear lag isintersecting or outside

    of outer boundary.

    Press Ok to save the

    changes and to close

    the dialog. If old mesh

    was just deleted and not

    remeshed, look for

    mesh icon and remesh

    the boundary again.

    Composite cross section and its elements are now ready to use.

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    RM Bridge Cross section with three voids

    Getting Started - Auto M e s h i n g 3-19

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    3 Cross section with three voids

    Another line-wise boundary example will show how to:

    create holes,

    define shear lags,

    set global subdivision points over entire boundary with given distance

    create elements that have nodes in interior of the boundary,

    3.1 Create outer boundary of Part 1

    Lesson 09

    Select Slab3Voids

    cross section. Construc-

    tion lines are ready for

    boundary creation.

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    RM Bridge Cross section with three voids

    Getting Started - Auto M e s h i n g 3-20

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    Pick Outer boundary

    icon.

    Activate Part 1

    Click at construction

    line CL_1 to start creat-

    ing the outer boundary

    for part 1.

    Move with the mouse

    over construction line

    CL_4 and click the

    mouse to add new

    boundary line segment.

    Now continue with selection of construction lines in following order:

    CL_60, CL_65, CL_43, CL_9, CL_42, CL_63, CL_59, CL_3.

    You can always UNDO the selection with pressing BACKSPACE key. Pressing ESC

    key will cancel operation and delete the boundary.

    If you see dotted boundary lines it means that boundary could be closed this way if you

    would press ENTER key.

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    RM Bridge Cross section with three voids

    Getting Started - Auto M e s h i n g 3-21

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    Press ENTER key to

    complete boundary

    creation. General

    boundary properties

    dialog appears. Acti-vate Generate global

    subdivision points and

    correct maximal edge

    length to 0.5m. After

    clicking at Ok button

    boundary is closed and

    created. Many subdivi-

    sion points were placed

    at boundary line seg-

    ments in the way that

    distance between two

    of them at same linesegment is not larger

    than given length.

    3.2 Create holes

    Now select Boundary

    as a hole icon on top.

    Select outer boundary

    to tell who will be the

    parent of the hole.

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    RM Bridge Cross section with three voids

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    Click at the first circle

    from left and press

    ENTER key. Again

    boundary creation dia-

    log appears that sug-gests global points with

    such maximal distance

    that circle will contain

    8 points. Confirm with

    Ok.

    We need two more

    holes. We are still in

    holes insertion action,

    therefore just select

    outer boundary to tell

    who the parent of next

    hole is and click at

    middle circle. Press

    ENTER key and Ok

    in dialog. Repeat the

    same way with circle

    on right side. Our

    boundary with three

    holes is now ready to

    be meshed.

    3.3 Create initial mesh

    Search for mesh icon

    on top icons in bound-

    ary icon group and

    generate the mesh.

    When question for al-

    lowing element nodes

    inside of boundary ap-pears, say Yes.

    3.4 Fine-tuning of the auto-mesh

    User may be satisfied with generated mesh or not. It may happen that mesh is not symmet-

    ric if boundary is symmetric or he does not like to have triangular elements etc. He also

    may expect lower number of elements in particular area of the boundary.

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    RM Bridge Cross section with three voids

    Getting Started - Auto M e s h i n g 3-23

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    If we look at our example, it is obvious that we do not need small elements at left and right

    side of the cross section.

    Lesson 10

    Pick Delete subdivi-sion point icon and

    delete marked points.

    We can see that it

    would be nice to have

    additional point at bot-

    tom middle of cross

    section. Pick icon Add

    subdivision point de-

    fined by constructionline and place new

    point in middle bottom

    of cross section. Alter-

    native how to add such

    point: select line seg-

    ment and open edit

    dialog. Add new point

    to the list with exact

    relative value 0.5.

    There are also some

    triangles on bottom leftand right side of the

    boundary. Pick Add

    subdivision point de-

    fined by relative dis-

    tance and add two

    points as shown here.

    There are also some

    triangles on top middle

    of the boundary that we

    do not want to have.

    Pick Add subdivisionpoint defined by rela-

    tive distance and add

    two points as shown

    here.

    We may want fewer elements. Therefore advanced options are available to optimize the

    mesh.

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    RM Bridge Cross section with three voids

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    Lesson 11

    Select entire boundary

    (do not select just sin-gle line segment).

    Click Edit icon on

    left side. Boundary edit

    dialog appears. It is

    same dialog as for

    modifying boundaryline segment, just an-

    other tab page is se-

    lected.

    We can change here parameter for maximal distance between globally defined points or

    turn them on or off. Remark: if you already deleted global point interactively, it will berecreated if you press Subdivide button. All other points user inserts in advance interac-

    tively or in line segment tab page are not global and will not be deleted if user turns global

    points off by unselecting above checkbox.

    Right side of the dialog (next to preview plot window) contains some icons. You can for

    example hide construction lines or show elements as filled polygons (may be useful if you

    mesh boundary with holes).

    Status at bottom of the dialog shows if meshing succeeded or if data is capable for meshing.

    Left bottom side of dialog is there for advanced users that want to play with mesh optimiza-

    tion parameters. The only items the usual user will use are drop-down button for Meshing

    presets and Minimize number of inside points. Minimizing inside points is used if we do

    not want that element nodes will be created inside of boundary. There are presets prepared

    for particular shape of the boundary (Long edges, Only quadrangles,... ). User can easily

    switch between them and immediately see in preview if he gets expected mesh.

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    Select Long edges

    preset and press

    Remesh button. This

    preset tries to generate

    longest possible edgesinside of boundary, but

    still keeps good quality

    of the elements. Press

    Ok button to save the

    changes.

    We have to delete just

    few subdivision pointsto get very good mesh.

    Pick Remove subdivi-

    sion point icon and

    remove points showed

    here.

    Such mesh is just one

    of many different

    meshes we can pro-

    duce.

    3.5 Shear lags

    Shear lag properties are easy to add using boundaries. They just have to be defined as

    closed constraint.

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    Lesson 12

    Select Boundary as

    closed constraint iconon top.

    Select outer boundary

    to tell who will be the

    parent of the constraint.

    Click at construction

    line CL_67 on right

    side of the cross sec-

    tion. You may be

    prompted that current

    boundary mesh will bedeleted if it exists. Con-

    firm.

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    Continue with clicking

    at construction lines to

    generate boundary as

    shown here and press

    ENTER key.

    Boundary creation dia-

    log with general prop-

    erties appears. Set shear

    lag property and con-

    firm with Ok.

    We need shear lag at

    left side of the bound-

    ary too. Select again

    outer boundary to tell

    who is parent of the

    constraint and generate

    boundary as shown

    here.

    For this training example a variable shear_lag is already prepared and ready to use. Con-

    struction lines CL_66 and CL_67 should change shear lag area with above variable. Change

    now shear_lag value to 1.0 to make shear lag area wider.

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    Boundaries are now

    ready to mesh. Pick

    mesh icon and select

    outer boundary to gen-

    erate mesh auto-elements.

    Lesson 13 You can now play with

    shear_lag value and see

    how element nodes

    could move through

    stations.

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    RM Bridge Cross section defined by point-wise boundaries

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    4 Cross section defined by point-wise boundaries

    Next boundary example will show how to:

    create boundaries point-wise,

    move/add/delete boundary points

    round/cut off corners and round edges,

    add point-wise void hole with given radius,

    add and round opened constraint.

    4.1 Create outer boundary of Part 1

    Lesson 14 Some things are al-

    ready predefined, for

    example necessary con-

    struction lines.

    Select PointWise

    cross section. Construc-

    tion lines are prepared

    and ready for boundary

    creation.

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    Pick Outer boundary

    icon from Point-wise

    boundary row.

    Activate Part 1

    Click at intersection of

    construction lines

    (CL_1, CL_3) to startcreating the outer

    boundary for part 1.

    Select intersection (CL_1, CL_4) and continue with selection sequence in clock-wise

    order as follows (of course counter-clockwise circumference would also be possible):

    (CL_4, CL_13), (CL_6, CL_14), (CL_8, CL_9), (CL_7, CL_9), (CL_5, CL_14), (CL_3,CL_13).

    You can always UNDO the selection with pressing BACKSPACE key. Pressing ESC

    key will cancel operation and delete the boundary.

    If you see dotted boundary lines it means that boundary can be closed this way if you

    press ENTER key or click on beginning intersection point.

    To finish with bound-

    ary creation just click

    again on beginning

    intersection point

    (CL_1, CL_3) or press

    ENTER.

    Dialog with general

    boundary properties

    opens. After clicking

    OK boundary is

    closed and defined.

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    Some of the corners

    can be rounded now.

    Pick Set radius for

    boundary line segment

    or boundary pointfrom Point-wise

    boundary row.

    Set radius value to 1.0.

    Select boundary corner

    where (CL_5, CL_14)

    intersect. Do the same

    for (CL_6, CL_14).Corners should be

    rounded now.

    Set radius value to 10.0

    now and select bottom

    edge of the cross sec-

    tion. Edge should berounded now. Radius

    can be negative too,

    depends if we want

    rounding on the left or

    right side of line (direc-

    tion of boundary out-

    line defines what is left

    or right).

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    Corners can be rounded

    or cut-off. To cut off

    the top left corner of

    the cross section, set

    radius to -0.1 and clickat boundary corner.

    Now set radius value to

    0 and click at the cor-

    ner point or corner line

    and corner will have

    the same look again.

    Rounding can be re-

    moved also in different

    way: segment of

    rounded line has to be

    selected and deleted.

    Now select Boundary

    as a hole icon.

    Set value of radius inthe variable r1, select

    outer boundary to spec-

    ify parent of the hole

    and click twice at inter-

    section of lines

    (CL_11, CL_10). Dia-

    log for placing a

    boundary hole will ap-

    pear. Just click OK

    and void hole with ra-

    dius r1 should be visi-

    ble.

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    Click again at outer

    boundary to specify

    parent of next hole and

    click twice at intersec-

    tion (CL_2, CL_10)and press OK in crea-

    tion dialog. Repeat the

    same procedure for

    intersection (CL_12,

    CL_10).

    There may be a need to

    force meshing engine

    to generate element

    edges at particular,

    wished areas. For thisreason constraints can

    be created inside of

    boundary. Select

    Boundary as opened

    constraint.

    Select outer boundary

    to specify parent of the

    constraint and click at

    intersections (CL_11,

    CL_13) and (CL_12,

    CL_13). To finish with

    creation of the con-

    straint press ENTER

    or click at end point

    (CL_12, CL_13) of

    constraint again. In

    creation dialog just

    press OK.

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    RM Bridge Cross section defined by point-wise boundaries

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    We can also set radius

    for the constraint. Pick

    the Radius icon, set

    radius value to -15.0

    and select the con-straint. It should be

    rounded now.

    There may be a need to

    add additional points to

    the boundary. Select

    icon Insert boundary

    point.

    Now select boundary

    line segment on the top

    and click at intersection

    (CL_2, CL_13). New

    point is added. We are

    still in the action to addnew points, therefore

    we can simply continue

    with sequence of se-

    lecting boundary line

    segments and intersec-

    tions.

    To move the point to

    another position Move

    boundary point icon is

    used. Just select newly

    created point and moveit to the intersection

    (CL_1, CL_2).

    Note: Subdivision

    points cannot be moved

    or deleted this way.

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    To delete the newly

    added point, use icon

    Delete boundary

    point. Select the points

    you want to delete. Fornow delete lately

    moved point at inter-

    section (CL_1, CL_2).

    Last step is to add addi-

    tional subdivision

    points to the bounda-

    ries. For this we will

    use icon Subdivide

    entire boundary.

    First we select outer

    boundary and set sub-

    division maximal edge

    length to 0.5.

    Then select opened

    constraint and set sub-

    division maximal edge

    length to 0.6.

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    Cross section bounda-

    ries are subdivided now

    and ready for meshing.

    Pick Create boundary

    elements icon and

    select outer boundary.

    Question for allowing

    element nodes inside of

    boundary appears.

    Click Yes. You

    should see the elements

    now.

    Lesson 15 Final situation.

    There exists one feature regarding point-wise boundaries that may be practical to use.

    For creation of point-wise boundary there is no need to create construction lines in ad-vance (except of main axis). RM Bridge has special construction line of type Point by

    relative coordinate which can be used for point-wise boundary construction.

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    RM Bridge Cross section defined by point-wise boundaries

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    If you click during

    boundary creation

    somewhere where no

    construction lines inter-

    section exist, a dialogfor placing construction

    line intersection ap-

    pears. Here you can

    correct the offset to

    base lines (main axis)

    or even set variables for

    offset. After pressing

    Ok new construction

    line cross is created and

    boundary line segment

    added.

    Combination of mouse

    clicking with one hand

    and pressing ENTER to

    close the dialog with

    another hand and cross

    section can be very

    easy created.

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    RM Bridge Useful informations

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    5 Useful informations

    There might appear situations where some things are not working as expected or they are

    not clear. We will try to explain such situations here.

    5.1 Meshing of cross section boundary where border contains curvedlines

    Imagine following boundary (not a real example, but well suitable for explanation of the

    problem):

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    This boundary is defined by 3 straight lines and one arc. If we try to mesh this boundary,

    we get following message:

    The reason for error is that boundary you see is not same as raw polygon going to be

    meshed. Raw data used for meshing is a sequence of connected points (polygon with

    straight lines):

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    To avoid the error, at least one additional boundary subdivision point should be added to

    the arc in the way that following raw polygon will be used for meshing:

    Such boundary has no self-intersections and mesh can be generated. Finally auto-elements

    are approximated to border of the boundary and we see following mesh:

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    Getting Started - Auto M e s h i n g 5-41

    Bentley Systems Austria

    5.2 Referencing of auto-elements

    All elements of single outer boundary should be treated as a group, because all of them are

    created together during remesh process. Even for simple operations (like adding single sub-

    division point) all old elements are deleted and new elements created. If you would place

    additional information (reference points etc.) to any of the elements, the mesh could not bedeleted and new mesh generated. Therefore try to avoid referencing auto-elements from

    any other objectsin Modeler. Instead those objects should reference construction lines.

    Of course referencing of auto-elements is possible, but you should do it only if you are

    100% sure that you will not have to change (remesh) the elements.

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    5.3 Some of advantages

    There might be just few ad

    when elements are created o

    construction lines. But whe

    ments are expected, auto-m

    significantly. Example is foll

    64 construction lines were u

    just to set their dependencie

    ment edge. Imagine what eff

    All steps with this approach

    construction lines (sets depeadds additional construction

    When using auto-meshing a

    That is easier, because user

    generate a boundary. Placin

    construction lines may be ne

    Above example was made u

    Usef

    against one-by-one element creati

    antages using auto-meshing instead of well-k

    ne-by-one if we expect only few elements and

    part of cross section border is curved or m

    shing approach reduces number of needed co

    owing cross section made with one-by-one app

    sed and you can imagine how time consuming

    , create each element and then set radius for e

    ort it costs if user decides for doubled density o

    are usually not done in sequence. Normally use

    ndencies), generates element and sets elementlines, generates some of elements, and so on.

    proach, almost all construction lines are genera

    as to care just about cross section border points

    of subdivision points is next step, where onl

    ded. Last step is meshing and fine-tuning.

    ing auto-meshing approach in much shorter tim

    l informations

    5-42

    Austria

    on

    nown approach

    se just straight

    re than 10 ele-

    nstruction lines

    oach:

    approach it was

    ery curved ele-

    the elements.

    r generates few

    urvatures, then

    ted in first step.

    . Next step is to

    few additional

    e:

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    Another way (same example

    Number of needed constructi

    Usef

    how to get auto-elements:

    on lines was reduced from 64 to 28!

    l informations

    5-43

    Austria

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    5.4 Element nodes alon

    Cross section is recalculated

    change too in the way that

    segment, following rule mus

    This may occur if for examp

    tive distance. Point with rel

    defined by construction line:

    5.5 Unique intersections

    There is no restriction about

    ing a line-wise boundary. O

    cular construction line appe

    ing the mouse closer to the i

    Usef

    bridge axis

    at every station along axis. Location of eleme

    esh is always valid. If we concentrate at singl

    t be kept subdivision points should never s

    le one point is defined by construction line and

    tive distance may change its position faster t

    number of intersections between construction li

    e example is when jump from straight constru

    rs. User can decide which intersection will be

    tersection:

    l informations

    5-44

    Austria

    t nodes should

    boundary line

    itch positions.

    another by rela-

    an another one

    nes when creat-

    tion line to cir-

    sed with mov-

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    5.6 Zero degree rule

    There exists one limitation u

    is limited to rounded parts o

    If new subdivision point at

    line and two intersections w

    regarding angle in counter-c

    Modeler always decides for

    near second intersection wh

    boundary circle from above

    Usef

    sers have to be aware, but it will appear very r

    boundaries:

    uch boundary line segment has to be defined

    ith boundary line segment exist, then intersecti

    lockwise direction from zero degree point of

    first counted intersection, even if user clicks

    en choosing construction line (bellow picture

    icture):

    l informations

    5-45

    Austria

    are in praxis. It

    by construction

    ns are counted

    omplete circle.

    ith the mouse

    concentrates at

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    If we move violet constructi

    counted intersection is chos

    bellow zero angle point a

    subdivision point completel

    lowing pictures):

    We suggest for such cases to

    instead.

    Usef

    n line down, intersections are calculated again

    n. In following case right side of construction

    nd therefore second intersection became first i

    changed its location (concentrate on red mark

    use subdivision points defined by relative or a

    l informations

    5-46

    and always first

    line was moved

    ntersection and

    ed point in fol-

    solute distance


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