Transcript George Lee 1 - University at Buffalo

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Control of Structural Vibrations
Lecture #5
Devices and Models (12)
Metallic Dampers
Instructor:
Andrei M. Reinhorn P.Eng. D.Sc.
Professor of Structural Engineering
Metallic Hysteretic Dampers

Models and Implemented Devices
Hysteretic Damping
Devices
Flexural Plate Device
Max: stresses at all sections
1) Mx = P x
2) Wx = (b/L )x t2 /6
3) fx = 6 P / t2 (b/L)
Stress constant at all sections:
(b/L)x
L
x
t
P
Stresses in Plate Dampers
ADAS - [Flour-Daniel Ltd]
ADAS Device in Structure
ADAS - [Flour-Daniel Ltd]
Application
Flexural Conical Beam
Device
T-ADAS - Metalic Damper
T-ADAS Device
T-ADAS Device
Sivaselvan-Reinhorn Model
MCEER Report #MCEER-99-0018
R  a K0  1  a KH u
Spring 1 : Elastic Spring
u
 R* n



K H  K 0 1  * 1 sgn R* u  2 
 Ry

aK0

aK0u
Spring 2
  
: Hysteretic Spring
R
*
Ry
Model used in IDARC2DVer.5.0
(1-a)K0
*
R
*
Ry
150.0
150.0
100.0
100.0
50.0
50.0
0.0
0.0
140.0
120.0
100.0
80.0
60.0
40.0
-6.0
-4.0
-2.0
0.0
2.0
4.0
6.0
-6.0
-4.0
-2.0
0.0
2.0
4.0
6.0
20.0
0.0
-50.0
-50.0
-6.0
-4.0
-2.0
0.0
2.0
4.0
6.0
-20.0
-100.0
-100.0
-150.0
-150.0
-40.0
-60.0
(a) Large N (Bilinear)
(b) N = 5
-4.0
(c) Asymmetric Yield
150.0
150.0
150.0
100.0
100.0
100.0
50.0
50.0
50.0
0.0
-6.0
-80.0
-2.0
0.0
0.0
2.0
4.0
6.0
-6.0
-4.0
-2.0
0.0
0.0
2.0
4.0
6.0
-6.0
-4.0
-2.0
0.0
-50.0
-50.0
-50.0
-100.0
-100.0
-100.0
-150.0
-150.0
-150.0
(a) Stiffness Degradation
( = 2)
(d)  = 0.1
150.0
2.0
4.0
6.0
(b) Strength Degradation
(  = 0.5,  = 0.3,ult = 10)
250.0
150.0
200.0
100.0
100.0
150.0
100.0
50.0
50.0
50.0
0.0
-6.0
-4.0
-2.0
0.0
0.0
2.0
4.0
6.0
-6.0
-4.0
-2.0
0.0
0.0
2.0
4.0
6.0
-6.0
-4.0
-2.0
0.0
2.0
4.0
6.0
-50.0
-50.0
-50.0
-100.0
-150.0
-100.0
-100.0
-200.0
-150.0
(c) Slip
(= 0.1, Rs = 0.25, = 0.4)
-250.0
(d) Gap Closing
(gap = 2, Ngap = 1.5, = 0.25)
-150.0
(i) Combination of (e), (f)
and (g)
Sivaselvan &
Reinhorn, 1999
Mathematical Model for
Plate Damper
Triangular Plate Metallic
Element
Triangular Plate Element
Behavior of Metallic Damper
Modeling Durability of Metallic Dampers
Modelling of Structures
with Additional Hysteretic
Dampers
Additional Hysteretic
Dampers
Japanese Web Shear
Device
Lead Extrusion Device
Lead Extrusion
Lead Joint Damper
Flexural Beam Device
U Strip Device
Yielding Steel Bracing System
Tyler, 1985, New Zealand
Torsional Beam Device
New Zealand, Rocking Bridge Peers
Friction (Hysteretic) Dampers

Models and Implemented Devices