高斯白噪声作用下刚性滑移结构稳态响应的概率密度函数

Probability density function of steady state response of sliding rigid structure under Gaussian white noise excitation

利用能量包线随机平均法，导出了库伦滑动摩擦刚性结构在高斯白噪声地面作用下响应的稳态联合概率密度函数的解析解，它与文献［２］的等效非线性系统法所得之解完全相同。与蒙特卡洛模拟结果对比表明，当库伦阻尼较小时，该解析解能够满意地预测研究系统响应的概率分布。

Using the stochastic average method of energy envelope, the analytical solution of the joint probability density function of steady-state responses of coulomb sliding friction rigid structures to Gaussian white noise is derived, which is the same as that of in reference [2] by means of the equivalent nonlinear system method. The results compared with Monte Carlo simulation display that the analytical solution can well forecast the probability distribution of the steady-state responses of the previous systems for smaller coulomb damping.