桁架结构作动器优化配置的粒子群算法  

PARTICLE SWARM OPTIMIZER FOR OPTIMAL LOCATIONS OF ACTUATORS OF A TRUSSED STRUCTURE

作　　者：潘继[1] 蔡国平[1] 

机构地区：[1]上海交通大学工程力学系,上海200240

出　　处：《工程力学》2009年第12期35-39,共5页Engineering Mechanics

基　　金：国家自然科学基金(10772112;10472065);教育部重点项目(107043);教育部博士点基金(20070248032);上海市教委重点项目(09ZZ17)

摘　　要：对桁架结构主动控制中作动器的优化位置进行研究,其中桁架结构采用有限元方法进行建模,作动器采用压电堆形式,优化算法采用粒子群方法,指标函数采用基于能量的可控Gramian矩阵优化配置准则。该文给出了粒子群方法的迭代计算格式,分析了可控Gramian矩阵配置准则的机理,并且采用最优控制方法研究了桁架结构在随机白噪声激励和简谐激励下的动力响应问题。研究结果显示,粒子群优化算法能够有效地对桁架结构作动器的优化位置进行计算,最优控制方法能够有效地抑制桁架结构的动态响应。Optimal positions of actuators for active control of a trussed structure is studied, where the finite element method is used to establish dynamic equations of the structure, piezoelectric stack is used as an actuator, particle swarm optimizer （PSO） is adopted as the optimization algorithm and the energy-based controllable Gramian matrix is used as optimization criteria, lterative algorithm of the PSO is presented and the mechanism of controllable Gramian matrix is analyzed. Dynamic responses of the structure under white noise and simple harmonic excitations are both numerically studied using the optimal control method. Simulation results indicate that the PSO is effective in determining optimal positions of actuators on the structure. The structure may be well controlled by the optimal controller.

关 键 词：桁架结构 作动器优化位置 粒子群算法 Gramian矩阵 主动控制 

分 类 号：TB535[理学—物理]