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Block-decoupling vibration control using eigenstructure assignment

机译：基于特征结构分配的块解耦振动控制

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摘要

A theoretical study is presented on the feasibility of applying active control for the purpose of vibration isolation in lightweight structures by block diagonalisation of the system matrices and at the same time assigning eigenvalues (natural frequencies and damping) to the chosen substructures separately. The methodology, based on eigenstructure assignment using the method of receptances, is found to work successfully when the eigenvalues of the open-loop system are controllable and the open- and closed-loop eigenvalues are distinct. In the first part of the paper results are obtained under the restriction that the mass matrix is diagonal (lumped). This is certainly applicable in the case of numerous engineering systems consisting of discrete masses with flexible interconnections of negligible mass. Later in the paper this restriction is lifted to allow bandedness of the mass matrix. Several numerical examples are used to illustrate the working of the proposed algorithm.
机译：通过对系统矩阵进行块对角化，同时为选定的子结构分别分配特征值（固有频率和阻尼），对在轻型结构中应用主动控制进行隔振的可行性进行了理论研究。当使用开环系统的特征值是可控制的并且开环和闭环特征值是不同的时，该方法基于使用接受方法的特征结构分配而被成功地工作。在论文的第一部分中，在质量矩阵是对角线（集总）的限制下获得了结果。对于由离散质量和质量可忽略的灵活互连组成的众多工程系统，这当然适用。在本文的后面，取消了此限制以允许质量矩阵的带状度。使用几个数值示例来说明所提出算法的工作。

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