主动控制在简支梁结构振动中的应用

Application of Active Control in the Simply Supported Beam Vibration

主动控制方法是目前研究振动的主要方法,为研究结构振动的主动控制,提出以简支梁结构为模型,由振动理论推导出简支梁的横向弯曲振动的运动方程。利用独立模态的频域最优控制算法计算在挠度最小时的控制力幅值的大小,将压电元件粘贴结构表面去感知结构的变形,向结构施加相应的主动作用力,通过Matlab工具作图比较控制前后简支梁扰度的大小。通过对比可以看出主动控制后与进行主动控制前,无论是低频、中频或者高频,控制后的挠度都非常小,证明基于独立模态的频域最优控制算法的可行性。

Active control method is the main method to study vibration at present, in order to study the active control method of structural vibration, the kinematic equation to the lateral bending vibration which is modeled after the simply supported beam and derived from the vibration theory is proposed. The control force amplitude in the minimum deflection is calculated by using the optimal control method in frequency domain based on modal analysis. Pasting the piezoelectric element on the sur- face of the structure to perceive the deformation, applying the control power to the structure, then the matlab graphics is used to campare the deflection betore and after the control. Finally, it is shown from the COnlparison that the deflection after control is very tiny, no matter in low frequency, intermediate frequency or high frequency. It is proved that the optimal control method in frequency domain based on modal analysis is viable.