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Control of Structural VibrationsLecture #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 sections1) Mx = P x2) Wx = (b/L )x t2 /63) fx = 6 P / t2 (b/L)Stress constant at all sections:x

(b/L)x

t

L

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 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

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

- 8 0 . 0

- 6 0 . 0

- 4 0 . 0

- 2 0 . 0

0 . 0

2 0 . 0

4 0 . 0

6 0 . 0

8 0 . 0

1 0 0 . 0

1 2 0 . 0

1 4 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

( a ) L a r g e N ( B i l i n e a r ) ( b ) N = 5 ( c ) A s y m m e t r i c Y i e l d

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

( d ) = 0 . 1( a ) S t i f f n e s s D e g r a d a t i o n

( = 2 )( b ) S t r e n g t h D e g r a d a t i o n

( = 0 . 5 , = 0 . 3 , u l t = 1 0 )

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

- 2 5 0 . 0

- 2 0 0 . 0

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

2 0 0 . 0

2 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

- 1 5 0 . 0

- 1 0 0 . 0

- 5 0 . 0

0 . 0

5 0 . 0

1 0 0 . 0

1 5 0 . 0

- 6 . 0 - 4 . 0 - 2 . 0 0 . 0 2 . 0 4 . 0 6 . 0

( c ) S l i p( = 0 . 1 , R s = 0 . 2 5 , = 0 . 4 )

( d ) G a p C l o s i n g(

g a p = 2 , N g a p = 1 . 5 , = 0 . 2 5 )( i ) C o m b i n a t i o n o f ( e ) , ( f )

a n d ( 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 DeviceNew Zealand, Rocking Bridge Peers

Friction (Hysteretic) Dampers

Models and Implemented Devices