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The plastic responce of hysteretic systems to stochastic excitations
The nonstationary response of nonlinear hysteretic structural systems to stochastic earthquake-like excitations is studied. The hysteretic restoring force characteristics are described in the form of an appropriate set of first-order differential equations. It is shown that these differential expressions leads to the Fokker-Planck formulation of the problem, and also allow analytical treatment of plastic deformation and accumulated plastic deformation as continuous random processes in time. The time-dependent statistics of responses, including plastic deformation and accumulated plastic deformation, are obtained numerically as the solutions to a set of first-order nonlinear differential equations. A numerical example is given for the bilinear hysteretic system. Comparison of the analytical results with those of the Monte Carlo simulation indicates that the proposed method is efficient for a stochastic seismic analysis of hysteretic systems, particularly those with nonlinearity. (DePo)
The plastic responce of hysteretic systems to stochastic excitations
The nonstationary response of nonlinear hysteretic structural systems to stochastic earthquake-like excitations is studied. The hysteretic restoring force characteristics are described in the form of an appropriate set of first-order differential equations. It is shown that these differential expressions leads to the Fokker-Planck formulation of the problem, and also allow analytical treatment of plastic deformation and accumulated plastic deformation as continuous random processes in time. The time-dependent statistics of responses, including plastic deformation and accumulated plastic deformation, are obtained numerically as the solutions to a set of first-order nonlinear differential equations. A numerical example is given for the bilinear hysteretic system. Comparison of the analytical results with those of the Monte Carlo simulation indicates that the proposed method is efficient for a stochastic seismic analysis of hysteretic systems, particularly those with nonlinearity. (DePo)
The plastic responce of hysteretic systems to stochastic excitations
Plastische Reaktion hysteretischer Systeme auf eine stochastische Erregung
Kobori, T. (author) / Minai, R. (author) / Suzuki, Y. (author)
1977
19 Seiten, 21 Bilder, 16 Quellen
Conference paper
English
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