Study on Equivalent Parameters of Bilinear Hysteretic Model Based on Steady-state Response Law
In order to study the displacement estimation accuracy of equivalent linearization methods,a bilinear hysteresis model was used as the analysis model to analyze the free vibration process of a nonlinear single degree of freedom system.It was pointed out that the equivalent parameters calculated by the secant rigidity method(R-H method)had a significant deviation from the actual results.A method for calculating equivalent parameters was pro-posed under the action of harmonic forces.The influence of the excitation period of harmonic excitation and the dis-placement peak of structural vibration on the calculation results were taken into account.The equivalent lineariza-tion analysis was conducted on the nonlinear system corresponding to different parameters through numerical analy-sis to verify the effectiveness and accuracy of the proposed equivalent parameter calculation method.The results show that the equivalent stiffness calculated by the R-H method is relatively higher.While the improved method can reasonably estimate the nonlinear time history displacement results,and the calculation accuracy is better than the R-H method.
bilinear hysteretic modelequivalent linearizationequivalent stiffnesssteady state response
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