Vibrating Systems with Equal Natural Frequencies
- 1 June 1961
- journal article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 3 (2) , 174-185
- https://doi.org/10.1243/jmes_jour_1961_003_023_02
Abstract
This paper is concerned with the free vibration of a system with n degrees of freedom. It is shown that such a system always has n mutually orthogonal principal modes, whether the natural frequencies are all different or not. A method is described by means of which the modes and frequencies can be obtained one by one.Keywords
This publication has 2 references indexed in Scilit:
- THE SIMULTANEOUS REDUCTION OF TWO REAL QUADRATIC FORMSThe Quarterly Journal of Mathematics, 1947
- A NOTE ON REAL QUADRATIC FORMSThe Quarterly Journal of Mathematics, 1947