On normal mode vibrations
- 1 July 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 60 (3), 595-611
- https://doi.org/10.1017/s0305004100038081
Abstract
1. Introduction. In linear systems, the concept of ‘free vibrations in normal modes’ is well defined and fully understood. The meaning of this phrase is far less clear when it is applied to non-linear systems. It is the purpose here to define and examine the free vibrations in normal modes (and their stability) in certain non-linear systems composed of masses and springs and having a finite number of degrees of freedom. Of necessity, such a paper is in some degree conceptual in nature.Keywords
This publication has 17 references indexed in Scilit:
- The Normal Modes of Nonlinear n-Degree-of-Freedom SystemsJournal of Applied Mechanics, 1962
- On a Restricted Class of Coupled Hill’s Equations and Some ApplicationsJournal of Applied Mechanics, 1961
- On Normal Vibrations of a General Class of Nonlinear Dual-Mode SystemsJournal of Applied Mechanics, 1961
- On HILL' S method in the theory of linear differential equations with periodic coefficientsJournal of Applied Mathematics and Mechanics, 1960
- On the solution and characteristic exponents of solutions of some systems of linear differential equations with periodic coefficientsJournal of Applied Mathematics and Mechanics, 1960
- Normal Modes of Nonlinear Dual-Mode SystemsJournal of Applied Mechanics, 1960
- Nichtlineare Schwingungen bei zwei FreiheitsgradenArchive of Applied Mechanics, 1958
- Nichtlineare Schwingungen bei zwei FreiheitsgradenArchive of Applied Mechanics, 1957
- BerichtigungArchive of Applied Mechanics, 1954
- Über Hauptschwingungen mit endlichen SchwingweitenArchive of Applied Mechanics, 1953