Numerical Simulation Method of Acoustic Wave Propagation Based on Semi-Symplectic Theory

摘要：

　　An acoustic wave propagation simulating method based on semi-symplectic theory is developed.The acoustic wave equations with n degree of freedom in space domain of Lagrange System which are obtained in FEM are converted to equations with 2n degree of freedom in Hamiltonian System with the Legendres Transformation.These equations are then integrated with the Precision Integration algorithm in time domain.The algorithm is employed to simulate the acoustical wave propagation in two dimensional medium.We demonstrate the remarkable stability of the presented algorithm by comparison of the results of the FEM and that of the Semi-Sympectic Theory under different time steps.The results presented in this paper show that the proposed algorithm is effective, accurate, and not sensitive to time step.

关键词： Acoustic Wave Precision Integration Semi-Symplectic Theory Hamiltonian System

作者: Zhong Fang Li Wanzheng Ma

作者单位: School of Mechanical electric and Vehicle Engineering,Anhui Science and Technology University,Fengya College of Urban Construction and Environment;Anhui Science and Technology University,Fengyang,Anhui

会议类型: 国际会议

会议名称: the 2012 International Conference on Vibration, Structural Engineering and Measurement (2012年振动、结构工程与测量国际会议(ICVSEM2012))

会议地点: 上海

会议语种:英文

页码: 470-473

在线出版日期: 2012-10-19（万方平台首次上网日期，不代表论文的发表时间）