基于正交分解法的非平稳随机振动响应计算

Orthogonal Decomposition Method-Based Non-Stationary Random Vibration Response

为高效地获得非平稳随机振动响应的高精度结果,对过滤白噪声非平稳激励信号用精确积分法获得了K-L分解的精确向量,并对其进行了分析。单自由度和多自由度仿真结果表明,用较少量的K-L向量即可满足精度的要求,尤其对峰值的把握较准确。在二自由度的非线性杜芬剪切系统中利用基于能量的等价线性化方法与正交展开方法进行迭代计算并与蒙特卡洛方法进行比较,仿真结果验证了方法的精确性。

To obtain high accuracy results of non-stationary random vibration response efficiently,accurate K-L decomposition vectors are obtained by using the accurate integration method for non-stationary white noise-filtered excitation signal and a detailed analysis is carried out.Single DOF and multi DOF simulation results show that a small amount of K-L vectors can be used to meet the requirements for accuracy.In particular,it can accurately obtain the peak value.The energy-based equivalent linearization method and the orthogonal expansion method are used for iterative operation in a two DOF non-linear Duffing-shear system,and compared with the result of Monte Carlo method.Simulation results verify the accuracy of the method presented in the paper.