Transactions of the JSME (in Japanese)
Online ISSN : 2187-9761
ISSN-L : 2187-9761
Dynamics & Control, Robotics & Mechatronics
Resonance frequency control using the rank-one perturbation of the self-compliance matrix at interface degrees of freedom
Yuichi MATSUMURAMasashi KOMADAMasami MATSUBARAIchiro KIDO
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2020 Volume 86 Issue 881 Pages 19-00163

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Abstract

A design method of a strongly coupled vibration system is required for improving noise and vibration performance of machinery. One of the authors proposed that analysis of the self-compliance matrix at interface degrees of freedom between two systems, called as kernel compliance matrix, gives the insight to work out satisfactory countermeasures for resonance frequency control of a strongly coupled vibration system. The approach, however, is only feasible for a two by two kernel compliance matrix. To expand this approach to an N by N kernel compliance matrix, a coordinate transform is available to reduce the matrix dimensions. However, the selection of the basis vector is not so easy. This paper presents a practical approach for the analysis of an N by N kernel compliance matrix. In this paper, it is shown that structural modification for resonance control can be derived using the Wedderburn’s rank-one perturbation of a kernel compliance matrix. Finally, this approach was verified by a numerical case study.

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© 2020 The Japan Society of Mechanical Engineers
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