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本文综合地介绍了我们近三年来在频域结构振动輸入反演方面的工作结果。首先,叙述了在频域中的输入反演方法,结构的材料非线性是用等效线性比方法通过迭代来考虑的。对于强非线性,我们提出了复合结构模型的等效线性化。用较高自振频率的等效线性结构来描述结构的小振幅高频振动,用较低自振频率的等效线性结构来描述结构的大振幅低频振动。文中通过计算例题和振为试验的反演分析,讨论了解的收敛性与唯一性,精度和误差来源。我们的结果表明,不同初值的迭代均能收敛于同一结果;对于较强的非线性(延性系数μ=6-8),从输入的时间过程来看,近似良好,最大加速度值的误差一般在10％左右,反应谱的误差也不大;误差主要来自等效线性化。
This article presents comprehensively our work results in the frequency domain structural vibration input inversion in the past three years. First, the input inversion method in the frequency domain is described. The material nonlinearity of the structure is considered by iteration using the equivalent linear ratio method. For strong nonlinearities, we propose the equivalent linearization of the composite structure model. An equivalent linear structure with a higher natural frequency is used to describe the small-amplitude high-frequency vibration of the structure, and an equivalent linear structure with a lower natural frequency is used to describe the large amplitude and low-frequency vibration of the structure. This paper discusses the convergence and uniqueness of understanding, the accuracy and the source of error by calculating the example problem and the inversion analysis of the vibration test. Our results show that the iterations of different initial values can converge to the same result; for a strong nonlinearity (ductility coefficient μ=6-8), the approximation is good from the input time course, and the error of the maximum acceleration value is general. At about 10%, the error of the response spectrum is not large; the error mainly comes from the equivalent linearization.