平稳随机激励下随机智能桁架结构振动主动控制中的优化

研究了平稳随机激励下随机智能桁架结构振动主动控制中主动杆的配置位置和闭环控制系统增益的优化问题。考虑结构物理参数、几何尺寸、阻尼同时具有随机性以及作用荷载为平稳随机激励，基于系统最小储存能，构建了具有位移响应均方值、应力响应均方值可靠性约束的主动杆配置和控制增益的优化模型；并对结构平稳随机动力响应的数字特征进行了推导。通过算例，验证了该优化配置模型的合理性和有效性，获得了若干有意义的结论。

Optimization in active vibration control of random intelligent truss structure under stationary random excitation

The problems of the optimization of active bars' placement and feedback gains of closed loop control system for random intelligent truss structures under stationary random excitation are studied in this paper. Based on the minimal energy stored in the structures, the optimal mathematical model with the reliability constraints on the mean square value of structural dynamic displacement and stress response are constructed. In which not only the randomness of the physical parameters of structural materials, geometric dimensions and damping are considered simultaneously, but also the applied force are taken as stationary random excitation. Then the numerical characteristics of the stationary random response of random intelligent structure are developed. Through the example, the rationality and validity of the present model are demonstrated and some useful conclusions are obtained.