滞变结构随机地震反应的等价线性化方法研究

归纳了目前常用的随机地震荷载和结构滞变恢复力模型，对扩散理论方法、随机平均法、摄动法、矩截断法、数字模拟方法和等价线性化法等非线性系统随机振动的常用分析方法进行了讨论。总结了等价线性化方法的理论、发展及其在滞变结构随机地震反应分析中的应用，认为等价线性化方法特别是近些年提出的局部和无参数等价线性化方法，是研究滞变结构随机地震反应的一种非常简明实用的分析方法。通过探讨随机等价线性化方法的误差和修正，认为等价线性化方法能够产生高精度的分析结果。对钢筋混凝土结构的地震可靠度分析方法研究，具有一定的参考价值。

Equivalent linearization for hysteretic systems of stochastic seismic response

The random seismic loading and structural hysteretic restoring force model commonly used were summarized in this paper. The analysis method commonly used for random vibration of nonlinear systems, including the diffusion theory method, the stochastic averaging method, perturbation method, the moment truncation method, digital simulation method and the equivalent linearization method were discussed. The theory, development and the application of the method of equivalent linearization in hysteretic structures with random seismic response analysis were summarized. The results showed that the equivalent linearization method, especially in recent years, the local equivalent linearization method and no parameters equivalent linearization method, random seismic response of a hyste - retic structure can be analyzed in a very simple and practical way. By exploring random equivalent lineari- za - tion method of error analysis and correction, we can get the conclusion that the use of equivalent lineariz - ation method can lead to highly accurate results. This paper is of a certain reference value for the seismic reli - ability of reinforced concrete structure analysis method.