An Hamiltonian MPS formulation for Reissner-Mindlin shell

Abstract

An MPS formulation for Reissner-Mindlin shell is developed in the framework of Hamiltonian particle dynamics. The model conserves linear momentum, angular momentum and total energy of the system. Free vibration of a free-fixed end square plate is tested for the convergence of the formulation. Moreover, the computation time is reduced from cubic of the resolution that total three-dimensional process is needed to quadratic by using this model.