基于导纳响应的左特征结构配置振动主动控制

Active vibration control using left eigenstructure with receptance response

主动控制可以通过施加控制力作用于结构系统来有效控制结构低频振动噪声,在振动噪声控制领域具有重要的意义。本文提出一种基于导纳响应配置左特征向量的主动控制方法,通过实际测量的结构导纳响应,利用振动系统左特征向量与激励之间的关系来实现结构振动主动控制。首先,基于导纳响应推导特征值与左特征向量的配置,无需建立结构的系统模型,或知道原结构系统的M、C、K矩阵;其次,利用左特征向量的冗余空间,将闭环系统的左特征向量配置成与激励力向量正交的形式,实现结构振动的主动控制;最后,通过数值算例验证此方法的有效性和正确性。

Active control can directly control the low-frequency vibration and noise of a structure by apply⁃ing control force on the structural system,so it plays an important role in vibration and noise control.In this paper,a method of left eigenvector assignment based on structural receptances was proposed,and the active control of structural vibration was realized by using the relationship between left eigenvector and excitation of vibration system.Firstly,the assignment of eigenvalues and left eigenvectors was derived based on the struc⁃tural receptances,so there is no need to establish the system model of the structure and know the M,C and K matrices.Secondly,using the redundant space of the left eigenvector assignment,the left eigenvector of the closed-loop system was assigned in the form of orthogonality with the excitation force vector,and the active control of structural vibration was realized.Finally,the numerical examples were given to verify the effective⁃ness of the method.