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Control of Structural VibrationsLecture #5

Devices and Models (2)

Instructor:

Andrei M. Reinhorn P.Eng. D.Sc.Professor of Structural Engineering

Friction (Hysteretic) Dampers

Models and Implemented Devices

Friction Devices - Pall System

Pall Friction Damper

Pall Friction Damper

Friction Properties

Friction System Constantinou and Reinhorn,1991

Friction System Constantinou and Reinhorn, 1991

Friction Device - Popov

Friction Displacement Curves

Sumitomo Friction Damper

Sumitomo Friction Damper

Tekton Friction Damper

Tekton Friction Device

Friction Models

Friction Models

Sivaselvan-Reinhorn ModelMCEER Report #MCEER-99-0018

uKaKaR H 10Spring 1 : Elastic Spring

Ry*

Ry*

aK0

(1-a)K0

R

aK0u

R*

u

Spring 2 : Hysteretic Spring

2*

1*

*

0 sgn1 uRRRKK

n

yH

Model used in IDARC2DVer.5.0

Friction Model: K0 = Very large, or a = 0, 1 = 2 = 0.5

Friction Connection Brace

Frame with Friction Bolted Connections

Additional Friction Dampers

Additional Friction Dampers

Re-Centering Dampers and Energy Dissipation

Devices Models and Implemented Devices

Other Energy Dissipation Devices

P=P0 sgn x + K x [ 1 + tan a0 sgn (dx/dt) ] ..

P0 = Preload

K1= K (1 + …)K1= K (1 + …)

K2= K (1 - …)

Floor Daniel Energy Disipation Restrain

(EDR)

Re-Centering Devices

Behavior of Recentering Device

Restoring Force in Fluid Dampers

Model of Recentering Device

Re-Centering DevicesJarret Elastomeric Spring Damper(Mander et al., 1997)

Re-Centering Devices

Shape Memory Alloy

Materials which experience re-centering hysteresis

Nickel - Titanium Alloy, etc.

SMA - Stress Strain Response

Shape memory alloys

SMA:

Other Dampers and Energy Dissipation

Devices Special Implementations

Toggle Braces - Consatntinou et al

1998

Toggle Braces - Consatntinou et al

1998

Toggle Braces - Consatntinou et al

1998

Toggle Braces - Consatntinou et al

1998

Alternative Assemblies of Dampers

Comparison of Toggle Dampers

Tuned Mass Dampers

Models and Implemented Devices