In view of the operational complexity of current methods for analyzing responses of structures excited by the Kanai-Tajimi spectrum earthquake, a novel and simple method for calculating the structural response of a single-degree-of-freedom(SDOF) system was proposed.The ground motion of Kanai-Tajimi spectrum was expressed as white noise excitation by using a filter vibration equation, so the non-classical damped structural system was composed of the SDOF dynamic equation and the filter vibration equation.Then, the analytic expressions for the covariance of relative displacement and relative velocity of the structure under white noise excitation were derived by the complex mode method.Considering the simple relationship between the spectral moment and covariance of the white noise excitation, a concise analytical expression of spectral moments for the response of SDOF structures subjected to Kanai-Tajimi excitation was obtained.Finally, based on the first-pass failure criterion and Markov distribution assumption, the dynamic reliability of the structure was achieved.The correctness and simplicity of the proposed method were verified by an example.
葛新广1,2，龚景海1，李创第1,2. 线性结构基于Kanai-Tajimi谱的随机地震动响应分析的新解法[J]. 振动与冲击, 2020, 39(22): 60-66.
GE Xinguang1,2，GONG Jinghai1，LI Chuangdi1,2. Novel method for the random seismic response analysis of linear structures subjected to Kanai-Tajimi excitation. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(22): 60-66.
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