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A new method for finding the first- and second-order eigenderivatives of asymmetric non-conservative systems with application to an FGM plate actively controlled by piezoelectric sensor/actuators

This paper reports on part of the output of project funded by EPSRC and the aerospace industry on inverse optimisation of structures vibratory behaviour. The paper, which was published in IJNME, the leading journal in engineering numerical simulation, represents a fundamental new formulation for computing eigenvalue and eigenvector derivatives of asymmetric non-conservative systems. The formulations and algorithm proposed in this paper have significant impact in the wider finite element community as the approach is now being adopted by a number of major commercial simulation software and used by the aerospace and car industries.