On natural frequencies and eigenmodes of a linear vibration system

Hou, Ming.; Müller, Peter C..

doi:10.1002/zamm.200610319

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On natural frequencies and eigenmodes of a linear vibration system

Müller, Peter C.; Hou, Ming

Authors

Peter C. Müller

Dr Ming Hou M.Hou@hull.ac.uk
Lecturer

Abstract

For conservative linear chain-structured mass-spring vibration systems with n degrees of freedom, the conjecture of Mikota [1] on the natural frequencies is verified. In addition, the eigenvalue/eigenvector problem of a related square root matrix is solved. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

Journal Article Type	Article
Publication Date	2007-05
Journal	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Print ISSN	0044-2267
Electronic ISSN	1521-4001
Publisher	Wiley
Peer Reviewed	Peer Reviewed
Volume	87
Issue	5
Pages	348-351
Institution Citation	Müller, P. C., & Hou, M. (2007). On natural frequencies and eigenmodes of a linear vibration system. ZAMM, 87(5), 348-351. doi:10.1002/zamm.200610319
DOI	https://doi.org/10.1002/zamm.200610319
Keywords	Vibration chains; Natural frequencies; Eigenmodes; Mikota's conjecture
Publisher URL	https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.200610319