On natural frequencies and eigenmodes of a linear vibration system

Müller, Peter C.; Hou, Ming

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
• APA6 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