Dynamic Response Analysis of Cantilever Beam under Moving Mass by Time-discontinuous Galerkin Finite Element Method
A time-discontinuous Galerkin (TDG) finite element method for analyzing the dynamic response of cantilever beam subjected to moving force or moving mass is presented. The cantilever beam is discretized in space by finite element method, and the timevarying dynamic equations are derived. The.TDG finite element method by which both the displacements and velocities are approximated as piecewise linear functions in time domain and discontinuous at the discrete time levels is adopted to solve the differential equations. This method inherits third order accuracy and the unconditionally stable behavior, moreover, it is endowed with large stability limits and controllable numerical dissipation. The numerical solutions are accord with analytic ones, which validates the feasibility and superiority of this method for solving the dynamic response of cantilever beam under moving force or moving mass.
Time-discontinuous Galerkin finite element method Dynamic response Cantilever beam Moving mass
Jian Wei Hao Jian Li Ge
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China
国际会议
合肥
英文
1234-1238
2011-09-23（万方平台首次上网日期，不代表论文的发表时间）