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针对含有非线性连接的大型局部非线性结构,采用描述函数表示其所连接的非线性内力,将非线性结构频响表示为拟线性动柔度矩阵(Quasilinear Receptance Matrix),提出一种逆阵更新(Inverse Matrix Updating Method,IMU)方法,将求解系统动柔度(频响特性)的高阶矩阵求逆转化为低阶矩阵的求逆,从而获得大型局部非线性结构主频响应的快速计算方法.仿真结果表明,本文的分析方法具有较好的稳定性,并能大幅提高大型局部非线性结构主频响应的计算效率.
For large local nonlinear structures with nonlinear connections, the description function is used to represent the nonlinear internal forces connected to them, and the nonlinear frequency response is expressed as Quasilinear Receptance Matrix. An inverse array update (Inverse Matrix Updating Method, IMU) method, the high-order matrices for solving system dynamic flexibility (frequency response) are inverted into the inversion of low-order matrices to obtain a fast calculation method for the dominant frequency response of large local nonlinear structures The simulation results show that the proposed method has good stability and can greatly improve the computational efficiency of the frequency response of large scale local nonlinear structures.