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5Šª
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1978”N
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993-1000•Å
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PROCEEDINGS OF JAPAN EARTHQUAKE ENGINEERING SYMPOSIUM
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Ryoichiro MINAI, Yoshiyuki SUZUKI
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STOCHASTIC PREDICTION OF MAXIMUM STRUCTURAL RESPONSE TO EARTHQUAKE EXCITATIONS
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An approximate analytical method is presented for determining the stochastic properties of the maximum response of both linear and nonlinear hysteretic systems subjected to nonstationary random earthquake excitation. The maximum value of displacement response during the excitation is the significant and simplest response measure representing both the structural and functional damage in the structure. The maximum response is defined as a continuous random process in time and is described in the form of an appropriate first-order quasi-linear differential equation. It is shown that the Fokker-Planck formulation of the problem is derived by describing the state variables constructing such a system in the forms of first-order differential equations. By making certain simplifying assumption of the joint probability density function, a set of differential equation for the statistics of nonstationary responses including the maximum response is derived, and solved numerically. The probability density and the cumulative probability distribution of the maximum response are then evaluated. Numerical examples are given for the typical bilinear hysteretic system including the linear system. Results of the approximate method are compared with results obtained by corresponding digital simulation.
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