Time Domain Finite Element Method of Gyroscopic Systems
Sui Yongfeng 1,2,3 ,Gao Qiang1,Zhong Wan-xie 1
1. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian,116023,China; 2. Postdoctor Working Station , Hangzhou Turbine & Power , Hangzhou 310022 ,China; 3. Power Engineering & Engineering Thermophysics Postdoctor Research Station , Xi’an Jiaotong University ,Xi’an 710049 ,China
Abstract:Abstract: Based on the variational principle, time domain finite element method of gyroscopic systems is presented. The corresponding trial function matrix, element stiffness matrix and inhomogeneous force are given. The method inherits the property of symplectic conservation and enhances computational accuracy. The example comparing the numerical results obtained from three different methods: time domain FEM, 4th order Runge-Kutta method and Newmark method demonstrates the advantages of time domain FEM.