Lecture 5_2

Transcript Lecture 5_2

212 Ketter Hall, North Campus, Buffalo, NY 14260

www.civil.buffalo.edu

Fax: 716 645 3733 Tel: 716 645 2114 x 2400 Control of Structural Vibrations Lecture #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

Friction Properties

Friction System Constantinou and Reinhorn,1991

Friction System Constantinou and Reinhorn, 1991

Friction Device - Popov

Friction Displacement Curves

Sumitomo Friction Damper

Tekton Friction Damper

Tekton Friction Device

Friction Models

Sivaselvan-Reinhorn Model MCEER Report #MCEER-99-0018

Friction Model:

Spring 1 : Elastic Spring

K 0 = Very large, or a = 0,  1 =  2 = 0.5

  

a K

0 

K H





u K H



0   1 

y n

  1 sgn   2    Spring 2 : Hysteretic Spring

Model used in IDARC2DVer.5.0

R y *

(1-

)

R * R y *

Friction Connection Brace

Frame with Friction Bolted Connections

Additional Friction Dampers

Re-Centering Dampers and Energy Dissipation Devices  Models and Implemented Devices

Other Energy Dissipation Devices

K 1 = K (1 + …) K 2 = K (1 …) P=P 0 sgn x + K x [ 1 +  tan a 0 sgn (dx/dt) ] ..

P 0 = Preload

Floor Daniel Energy Disipation Restrain (EDR)

Re-Centering Devices

Behavior of Recentering Device

Restoring Force in Fluid Dampers

Model of Recentering Device

Re-Centering Devices

Jarret 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

Alternative Assemblies of Dampers

Comparison of Toggle Dampers

Tuned Mass Dampers  Models and Implemented Devices

Lecture 5_2

Transcript Lecture 5_2

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