轴向运动弦线横向振动的控制:能量方法  

TRANSVERSE VIBRATION CONTROL OF AN AXIALLY MOVING STRING SYSTEM: ENERGY METHOD

作　　者：张伟[1] 陈立群[1] 

机构地区：[1]上海市应用数学和力学研究所

出　　处：《机械强度》2006年第2期201-204,共4页Journal of Mechanical Strength

基　　金：国家自然科学基金资助项目(10472060);上海市自然科学基金(04ZR14058);上海市重点学科建设项目(Y0103)~~

摘　　要：基于行波能量的传输原理,研究轴向运动弦线耦合系统的纵向振动控制。通过使系统的能量耗散最大而获得的控制器最优控制参数,使系统的能量达到最小值,从而达到控制弦线横向振动的目的。采用有限差分法进行数值模拟的结果证实此方法的有效性。In order to understand the mechanism of energy trarsfer in an axially moving string with a tensioner and to develop a control strategy for the system, transverse vibration control of an axially moving string is investigated based on the energy transfer principle of traveling waves. The energy of the system is minimized via choosing the optimal control coefficient, determined by maximizing the total energy dissipation, Hence the transverse vibration of the string is minimized as well. The finite difference method is employed to solve the governing equation numerically. The simulation results demonstrate the effectiveness of the control approach.

关 键 词：轴向运动弦线 横向振动 耦合系统 振动控制 能量 

分 类 号：O328[理学—一般力学与力学基础]