圆柱壳结构输入功率流主动控制研究

利用导纳函数表示圆柱壳体在激励力与控制力同时作用下的响应,将输入壳体的总功率流表示为哈密顿二次型函数的形式,并以此为目标函数对壳体振动进行主动控制研究.另外,在目标函数中添加控制力幅值二次项以便用较小的控制力取得较为理想的控制效果.利用前馈二次型最优控制理论得到最优控制力并讨论了几个重要参数对控制效果的影响.

Active Control of Input Power Flow to the Cylindrical Shells

The active control method for the vibration of hollow cylindrical shells based on input pow-er flow is investigated. By using mobility function, the vibration response of the cylindrical shell stim-ulated by the primary and secondary forces is studied. The total input power flow, which is calculat-ed and expressed as the Hermitian quadratic form, is treated as the objective function to implement the control. Afterwards, a term, which is quadratically dependent on the control inputs, is added into the objective function to account for the effort expended by the control system. The optimum set of sec-ondary force is obtained by using feed-forward quadratic optimal theory and several important pa-rameters which influence the control effect are analyzed. The results show that the reduction of the total input power flow is strongly related to the locations where the secondary forces are applied. By adding the term which accounts for the effort expended by the control system into the objective function, a receivable control effect can be obtained with less control energy.