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6Šª
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1982”N
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1233-1240•Å
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PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM
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Hirokazu IEMURA, C-T. CHU, A.H-S. ANG, Y.K. WEN
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REDUCED DEGREE-OF-FREEDOM APPROXIMATIONS FOR EARTHQUAKE DAMAGE ASSESSMENTS OF DETERIORATING HYSTERETIC STRUCTURES
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Dynamic response of structures due to severe earthquake cxcitations will go beyond their yielding limit to cause structural damages or failure. Thus, for probability based assessments of structural damages or failure, it is essential to develop mathematical methods by which random response of inelastic structures can be predicted without enormous computation efforts. In this study, displacement response of complex inelastic structures is expressed by one or a few significant modes to reduce the number of DOF of structures and then the equivalent linearization technique is adopted to predict random response of the structures. Covariance matrices of the response are obtained by solving the first order differential equations. Predicted results by one and two DOF approximations are compared with those of full DOF models to conclude that the proposed methods with much less computation efforts have satisfactory accuracy for practical purposes. It is also found that when local ductility factor response of a member is much larger than others, larger numger of DOF is needed. The methods are extended to nonstationary response of hysteretic and deteriorating hysteretic structures successfully.
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