中文摘要：

在通过谐波叠加法获得平稳Gaussian随机过程的时域激励样本的基础上，采用有限单元法空间离散化接触非线性预应力结构，使用中心差分法计算分析该结构在时域激励样本下的强度、接触状态及振动主频等动态特性。与传统线性振型叠加法不同，该方法可以模拟任意接触非线性问题，并具有高效、精确的特点。实例分析了接触非线性预应力结构在随机载荷下的动态特性，并对仿真分析中存在的关键技术进行了深入的探讨。

英文摘要：

With harmony superposition method, which helps to get the excitation sample in the time domain obtained from stationary Gaussian random process,and the contact nonlinear prestressed structure discretized spatially by finite element method, then the dynamic characteristics of the structure under excitation sample in the time domain, such as the structural strength, contact status and main frequency of vibration, were acquired by central difference method. This numerical simulation analysis method of random vibration can simulate all contact nonlinear questions with high efficiency and precision, which is different from traditional linear mode superposition method. Dynamic characteristics of the contact nonlinear prestressed structure under random loads were analyzed by instance. Finally, the key technologies existing in simulation analysis were further discussed.