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The Kron methodology and practical algorithms for eigenvalue, sensitivity and response analyses of large scale structural systems
Published online by Cambridge University Press: 04 July 2016
In this paper, the various facets of Kron’s eigenvalue method which have been developed over the past decade by the present writer are drawn together for review purposes and to provide solution algorithms for large scale eigenvalue and response problems which arise, for example, from the need to study large order finite element models in the frequency analysis of ship equipment raft structures. Also included are considerations of eigenvalue sensitivities which are found to be readily calculable by means of simple modification of the basic eigenvalue method. These sensitivities are of importance in the study of vibration transmission paths and hence in the design and positioning of optimum anti-vibration mountings (AVMs).