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6Šª
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1982”N
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1169-1176•Å
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PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM
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Yoshiyuki SUZUKI, Ryoichiro MlNAI
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SEISMIC STOCHASTIC RESPONSE OF STATE-DEPENDENT HYSTERETIC STRUCTURES
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A formulation of state-dependent hysteretic systems such as degrading and stiffening hysteretic systems under random earthquake excitations is presented in the form of stochastic differential equations, and an approximate analytical method for determining the stochastic response of state-dependent hysteretic systems is also presented. By introducing appropriate extra state variables which control the degrading or stiffening of the hysteresis, the state-dependent hysteretic system can be described by a set of first-order nonlinear differential equations. The state-dependent hysteretic systems illustrated herein are Clough's model and Kato-Akiyama's model which are typical models for reinforced concrete and steel structures, respectively. The extra state variables are then concerned with the maximum displacement response and cumulative plastic deformation, which are significant response measures in assessing seismic structural reliability. Numerical examples are given for single degree of freedom systems subjected to white noise excitations. The responses of these state-dependent hysteretic systems are compared with those of the ordinary bilinear hysteretic system. The accuracy of the proposed method is verified against digital simulation.
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