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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。
The optimal position of the actuator in the active control of the truss structure is studied. The truss structure is modeled by the finite element method, the actuator is in the form of piezoelectric stack, the particle swarm optimization is used in the optimization algorithm, the energy-based index control Gramian matrix optimization configuration guidelines. In this paper, the iterative computing format of particle swarm optimization is given, and the mechanism of controllable Gramian matrix configuration is analyzed. The optimal control method is used to study the dynamic response of truss structure under random white noise excitation and harmonic excitation. The results show that the particle swarm optimization algorithm can effectively calculate the optimal position of truss structure actuator, and the optimal control method can effectively restrain the dynamic response of truss structure.