A New Fast Numerical Solution Method for Dynamical Differential Equations with Irreversible Mass Matrix

For the large-scale dynamic differential equations with irreversible mass matrix, based on the state space representation method in modern control theory, we proposed a new fast numerical solution method for its vibration response by ingenious mathematical transformation and iteration iterative calculation. Compared with the traditional solution method of MATLAB/Simulink module, the process of the modeling and calculation of this method is very simple and fast. As long as the high-order coefficient matrix corresponding to each block equation is written, it can be solved iteratively quickly. When it is applied to the analysis of large-scale system dynamics problems in engineering, its computational efficiency and economy can be significantly improved.