基于Kanai-Tajimi谱六参数粘弹性耗能结构地震响应的简明封闭解

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摘要频域法在计算线性系统随机响应时应用较为广泛，但其显著缺点为：(1)计算多自由度动力系统随机响应功率谱无显示封闭解；(2)获得结构响应的方差和谱矩需要数值积分，分析精度和效率受积分步长和积分区间影响较大。基于以上问题，研究了六参数粘弹性耗能多自由度结构基于Kanai-Tajimi谱地震作用下平稳响应的解析解法。运用该方法对一5层建筑结构进行了分析，获得了线性多自由度耗能结构地震动系列响应方差及0-2阶谱矩的简明封闭解，并将其与虚拟激励法进行对比分析。研究表明简明封闭解法是一种非常有效的计算线性多自由度系统随机稳态响应的简明解法。

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	邹万杰
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	张梦丹
	葛新广

关键词 ：六参数粘弹性阻尼器模型, 地震响应, Kanai-Tajimi谱, 谱矩, 简明封闭解法

Abstract：Frequency domain method is widely used in the calculation of random response of linear system, but its significant disadvantages are as follows: (1) There is no closed solution to calculate the power spectrum of random response of multi degree of freedom dynamic system; (2)Numerical integration is needed to obtain the variance and spectral moment of structural response, and the analysis accuracy and efficiency are greatly affected by the integration step and integration interval. Based on the above problems, the analytical solution of the steady response of six parameter viscoelastic energy dissipation multi-degree-of-freedom structure under Kanai-Tajimi spectrum earthquake is studied. A 5-story building structure is analyzed by using this method, and the concise closed form solutions of series response variance and 0-2 order spectral moment of linear multi degree of freedom energy dissipation structure are obtained, which are compared with the virtual excitation method. The results show that the simplified closed form method is a very effective method to calculate the stochastic steady state response of linear multi degree of freedom system.

Key words： six parameter damped model seismic response Kanai-Tajimi spectrum spectral moment a simple closed solution

收稿日期: 2020-11-02 出版日期: 2022-03-28

引用本文:

邹万杰，姜琰，张梦丹，葛新广. 基于Kanai-Tajimi谱六参数粘弹性耗能结构地震响应的简明封闭解[J]. 振动与冲击, 2022, 41(6): 130-138.
ZOU Wanjie，JIANG Yan，ZHANG Mengdan，GE Xinguang. Concise and closed solution of the seismic responses of viscoelastic energy dissipation structures under Kanai-Tajimi spectrum excitation. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(6): 130-138.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I6/130

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