噪声与振动控制2017，Vol.37Issue(1)：16-19,4.DOI:10.3969/j.issn.1006-1335.2017.01.004
线性阻尼杆振动问题基于变量变换的多辛算法
Multi-symplectic Algorithm for Vibration Analysis of the Rods with Linear Damping
摘要
Abstract
The discrete multi-symplectic alogrithim for vibration problem analysis of the rods with linear damping is proposed.First of all,the dissipation system is transformed into a conservative system by variable transformation.Then,the state vector is formed by the transformed variables,and the midpoint box multi-symplectic form is generated based on the midpoint discrete method.Finally,the matrix-type recurrence formula is established based on the state vector and the linear equation set including the boundary condition and the initial condition is formed and solved.The numerical results show that the proposed multi-symplectic algorithm can reserve the conservative geometrical properties of the system,reasonably express the boundary condition by the state variables,and accurately reflect the dissipation effect of the system.关键词
振动与波/变量变换/多辛/保结构/耗散Key words
vibration and wave/variable transformation/multi-symplectic/structure-preserving/dissipation分类
数理科学引用本文复制引用
鲍四元,邓子辰..线性阻尼杆振动问题基于变量变换的多辛算法[J].噪声与振动控制,2017,37(1):16-19,4.基金项目
国家自然科学基金资助项目(11202146) （11202146）
