CAJ | 학술논문

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.
이용도납함수표시원주각체재격려력여공제력동시작용하적향응,장수입각체적총공솔류표시위합밀돈이차형함수적형식,병이차위목표함수대각체진동진행주동공제연구.령외,재목표함수중첨가공제력폭치이차항이편용교소적공제력취득교위이상적공제효과.이용전궤이차형최우공제이론득도최우공제력병토론료궤개중요삼수대공제효과적영향.
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.