[期刊论文] 刘福寿,金栋平,文浩,Optimal vibration control of curved beams using distributed parameters models, Journal of Sound and Vibration, 2016, 384: 15-27.

发布者:孙加亮发布时间:2020-04-15浏览次数:217

Optimal vibration control of curved beams using distributed parameters models

Fushou LiuDongping Jin, Hao Wen 


Abstract: The design of linear quadratic optimal controller using spectral factorization method is studied for vibration suppression of curved beam structures modeled as distributed parameter models. The equations of motion for active control of the in-plane vibration of a curved beam are developed firstly considering its shear deformation and rotary inertia, and then the state space model of the curved beam is established directly using the partial differential equations of motion. The functional gains for the distributed parameter model of curved beam are calculated by extending the spectral factorization method. Moreover, the response of the closed-loop control system is derived explicitly in frequency domain. Finally, the suppression of the vibration at the free end of a cantilevered curved beam by point control moment is studied through numerical case studies, in which the benefit of the presented method is shown by comparison with a constant gain velocity feedback control law, and the performance of the presented method on avoidance of control spillover is demonstrated.

 

原文链接: https://www.sciencedirect.com/science/article/abs/pii/S0022460X16303972