バイリニア系の相似性に着目したエネルギー応答性状の評価

概要

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A single-degree-of-freedom bilinear system has a simple similarity relation between the input and output motion; a simultaneous amplification of the input motion, the elastic limit, and the yield force by a certain factor induces an amplification of the response by just the same factor. The purpose of this study is to estimate the energy response characteristics of a bilinear system efficiently by utilizing this similarity relation. The input ground motion is given by a stationary random process with a power spectral density function corresponding to a "pseudo-acceleration" spectral density of an adapted single-degree-of-freedom system under a white noise excitation, The energy response problem for the bilinear system under the stochastic excitation is formulated and simplified by use of the similarity relation. Numerical results clarify the relations between the characteristics of the input ground motion and the non-linear energy response.
2007-04-30