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403<br />

CONCLUSIONS<br />

In the previous sections, we have provided an overview of some computational mechanics studies of<br />

seismic protective devices. Both metallic dampers and viscoelastic dampers are considered.<br />

For the metallic dampers, a two-surface cyclic plasticity model is developed that has the capability to<br />

reproduce stabilized hysteresis loops under constant amplitude cycling, while retaining an inherent<br />

self-consistency under more general loading paths. Model parameters are established from<br />

experimental data on structural steel that is independent of the damper response tests. For both the E-<br />

damper and the triangular plate damper, the subsequent finite element analysis captures the main<br />

features of the experimental damper results, while providing additional insight into the behavior. In<br />

the case of the triangular plate damper, for example, the analysis identifies the important role of large<br />

deformation effects and potential locking. <strong>The</strong> analysis also indicates that the triangular shape may not<br />

be ideal for response under severe lateral deformations.<br />

Meanwhile, the viscoelastic dampers are modeled as a thermorheologically simple generalized<br />

Maxwell material. This provides a reasonable representation of both the frequency and temperature<br />

dependence, while retaining computational efficiency. <strong>The</strong> finite element analysis captures the overall<br />

damper behavior, including thermal softening. <strong>The</strong> continuum model also provides detailed<br />

information that could be used to better understand damper durability, particularly in terms of<br />

interfacial debonding.<br />

In ail three cases, the computational continuum mechanics approach provides additional insight into<br />

the behavior of the control device. This complements the results of physical experiments and the<br />

initial back-of-the-envelope calculations that are more routinely performed. During a significant<br />

earthquake, the performance of the entire structural system will often ultimately depend upon the<br />

reliability of these critical control devices. Consequently, we recommend detailed computational<br />

continuum mechanics evaluations of all seismic protective devices.<br />

ACKNOWLEDGEMENT<br />

Support for the work described in this paper was provided in part by the Multidisciplinary Center for<br />

<strong>Earthquake</strong> <strong>Engineering</strong> <strong>Research</strong> under a cooperative agreement from the U.S. National Science<br />

Foundation (Grant EEC-9701471). <strong>The</strong> authors gratefully acknowledge this support.<br />

REFERENCES<br />

ABAQUS (1998), <strong>The</strong>ory Manual, Version 5.8, Pawtucket, RI.<br />

Banerjee, P.K., Wilson, R.B. and Raveendra, S.T. (1987), Advanced Applications of BEM to Threedimensional<br />

Problems of Monotonic and Cyclic Plasticity, Int. J. Mech. ScL s 29(9), 637-653.<br />

Chopra, M.B. and Dargush, G.F. (1994), Development of BEM for <strong>The</strong>rmoplasticity, Int. J. Solids<br />

Struct., 31, 1635-1656,<br />

Cofie, N.G. and Krawinkler, H. (1985), Uniaxial Cyclic Stress-Strain Behavior of Structural Steel, J.<br />

Engrg Mech., ASCE, 111(9), 1105-1120.

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