Finite Element Dynamics Modeling and Simulation Method of a Plate

The classical theory of thin plates has been playing a significant role in mechanical analysis^[1], its algorithm is simple and easy to implement, and it is widely used for high precision^[2]. This paper mainly focuses on the study of the classical theory of thin plates based on the Kirchhoff assumption^[3]. In this paper, the relevant programs are written by using MATLAB. Firstly, completing the finite element dynamics modeling of the plate, and solving the dynamics equation by Newmark method to analyze its dynamic characteristics. Then the dynamic response of the system under different initial conditions and loads is numerically simulated. Finally, the results are compared with ANSYS by iterative algorithm.