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本文对地基土-单自由度滞变结构相互作用体系在平稳随机地震激励下的平稳反应进行了分析。根据能量等效的思想,把滞变结构等效为一个阻尼损耗和一个非线性弹性结构的组合。采用累积矩删去法,可得到一组非线性代数方程组,并用拟牛顿法求解。最后用一简单数例将算得的反应各阶统计矩与用Monte Carlo法计算的结果进行了比较。结果表明,用本文的方法,其计算结果精度是相当好的,可应用于工程实际。
In this paper, the stationary response of ground-soil-single-degree-of-freedom hysteretic structure interaction system under stationary random earthquake excitation is analyzed. According to the energy equivalent idea, the hysteretic structure is equivalent to a combination of a damping loss and a nonlinear elastic structure. Using the cumulative moment elimination method, a set of nonlinear algebraic equations can be obtained and solved by quasi-Newton method. Finally, a simple example is used to compare the calculated moments of the various orders with the results calculated using the Monte Carlo method. The results show that using the method of this paper, the accuracy of the calculation results is quite good and can be applied to engineering practice.