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. [ABSTRACT FROM AUTHOR]

Copyright of Engineering Letters is the property of Newswood Limited and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)