协方差分析描述函数法的通用化数值算法

Covariance analysis describing function technique (CADET) has the advantages of fast solution and high simulation accuracy in dealing with random responses of systems. However, for complex systems, the theoretical derivation process and the solving of the analytical response equation of the system are more complicated and cumbersome. In order to further promote the application of CADET, a generalized CADET numerical algorithm was proposed based on the Gauss-Hermitian integral method. As an algorithm verification, taking random vibrations during vehicle driving as an example, the two-degree-of-freedom dynamic models of several nonlinear suspension vehicles were established, and the CADET generalized numerical algorithm was compared with the traditional CADET algorithm and Monte Carlo method. The simulation results show that the generalized numerical algorithm of CADET can achieve the calculation accuracy that meets the application requirements, which verifies the effectiveness of the proposed numerical algorithm and has a stronger value of generalized application in complex nonlinear dynamical systems.