212 Ketter Hall, North Campus, Buffalo, NY 14260 civil.buffalo
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Transcript of 212 Ketter Hall, North Campus, Buffalo, NY 14260 civil.buffalo
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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 VibrationsLecture #5
Devices and Models (2)
Instructor:
Andrei M. Reinhorn P.Eng. D.Sc.Professor of Structural Engineering
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Friction (Hysteretic) Dampers
Models and Implemented Devices
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Friction Devices - Pall System
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Pall Friction Damper
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Pall Friction Damper
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Friction Properties
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Friction System Constantinou and Reinhorn,1991
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Friction System Constantinou and Reinhorn, 1991
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Friction Device - Popov
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Friction Displacement Curves
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Sumitomo Friction Damper
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Sumitomo Friction Damper
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Tekton Friction Damper
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Tekton Friction Device
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Friction Models
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Friction Models
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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
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Friction Connection Brace
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Frame with Friction Bolted Connections
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Additional Friction Dampers
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Additional Friction Dampers
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Re-Centering Dampers and Energy Dissipation
Devices Models and Implemented Devices
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Other Energy Dissipation Devices
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P=P0 sgn x + K x [ 1 + tan a0 sgn (dx/dt) ] ..
P0 = Preload
K1= K (1 + …)K1= K (1 + …)
K2= K (1 - …)
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Floor Daniel Energy Disipation Restrain
(EDR)
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Re-Centering Devices
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Behavior of Recentering Device
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Restoring Force in Fluid Dampers
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Model of Recentering Device
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Re-Centering DevicesJarret Elastomeric Spring Damper(Mander et al., 1997)
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Re-Centering Devices
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Shape Memory Alloy
Materials which experience re-centering hysteresis
Nickel - Titanium Alloy, etc.
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SMA - Stress Strain Response
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Shape memory alloys
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SMA:
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Other Dampers and Energy Dissipation
Devices Special Implementations
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Toggle Braces - Consatntinou et al
1998
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Toggle Braces - Consatntinou et al
1998
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Toggle Braces - Consatntinou et al
1998
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Toggle Braces - Consatntinou et al
1998
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Alternative Assemblies of Dampers
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Comparison of Toggle Dampers
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Tuned Mass Dampers
Models and Implemented Devices