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Earthquake Engineering Research - HKU Libraries - The University ...

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Proceedings of the International Conference on<br />

Advances and New Challenges in <strong>Earthquake</strong><br />

<strong>Engineering</strong> <strong>Research</strong>, Hong Kong Volume<br />

DYNAMIC ANALYSIS OF FRICTION-DAMPED STRUCTURES<br />

L. L. Chung 1 , L Y. Wu 2 , and Y. P. Wang 3<br />

1 National Center for <strong>Research</strong> on <strong>Earthquake</strong> <strong>Engineering</strong>, Taiwan<br />

Department of Civil <strong>Engineering</strong>, National Taiwan <strong>University</strong>, Taiwan<br />

Department of Civil <strong>Engineering</strong>, National Chiao-Tung <strong>University</strong>, Taiwan<br />

ABSTRACT<br />

In this paper, the feasibility of friction damper as a passive control devices is verified through<br />

theoretical and numerical investigation. <strong>The</strong> stiffness and damping may be enhanced simultaneously<br />

by adding friction dampers to the conventional structures. Significant reduction in dynamic response<br />

can be achieved. After the friction dampers are added to the structure, friction mechanism makes the<br />

structural system highly non-linear and the motion of the friction damper may be shifted from the nonsliding<br />

mode to the sliding mode, and vise versa. No matter in the non-sliding or sliding mode, either<br />

the kinematic or kinetic condition is known. A simple and efficient numerical method is developed for<br />

the dynamic analysis of friction-damped structures. Only a single equation of motion is used to<br />

describe the dynamic system for both non-sliding and sliding modes. <strong>The</strong> stability and accuracy are<br />

guaranteed even though the time step of integration remains constant during the process of the<br />

solution.<br />

INTRODUCTION<br />

Friction damper is one of the promising passive control devices for civil engineering structures. <strong>The</strong><br />

stiffness and damping may be enhanced simultaneously by adding friction dampers to the conventional<br />

structures. With appropriate allocation of friction dampers, vibration energy will be dissipated<br />

efficiently when the structure is subjected to environment loads. <strong>The</strong> research on slotted bolted<br />

connection for friction damper can be traced back to 1976 (Venuti 1976). <strong>The</strong> friction damper consists<br />

of two outer plates and one inner plate. Circular holes are drilled on the outer plates and slotted holes<br />

are drilled on the inner plate for the bolted connection so that relative sliding between the inner and<br />

outer plates is allowed. Energy is dissipated through friction mechanism (Pall and Marsh 1979;<br />

Fitzgerald et al 1989; Roik et al 1988). In 1982, X-shaped bracing system was used to mount the<br />

friction damper (Pall and Marsh 1982). <strong>The</strong> stiffness is induced from the tension of the bracing. At<br />

the connection of the X-shaped bracing, energy is dissipated by the friction mechanism of the link and<br />

braking pad (Filatrault and Cherry 1987; Pekau and Guimond 1991). Such kind of friction damper has<br />

been put into real application (Pall et al. 1993).

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