DIFFERENTIAL QUADRATURE DISCRETE TIME TRANSFER MATRIX METHOD FOR VIBRATION MECHANICS

Transfer matrix method is a practical technology for vibration analysis of engineering mechanics. In this paper, DOferential Quadrature Discrete Time Transfer Matrix Method (DQ-DT-TMM) is presented for solving vibration mechanics. Firstly ordinary differential equations of the sub-structure or the element of the mechanical system are determined by classical mechanics rule and transformed as a set of algebraic equations at some discrete time points by the application of differential quadrature method. Then by extending the state vector of transfer matrix method, new transfer equations and transfer matrices of the sub-structures of the mechanical system are developed. The Riccati transform can be used to improve the computational convergence of the method. Several numerical examples show the proposed method can be regarded as an efficient tool for transient response analysis of vibration system.