Vibrating Systems with Equal Natural Frequencies-Reference-Cited by-同舟云学术

Vibrating Systems with Equal Natural Frequencies

Published:1961-06 Issue:2 Volume:3 Page:174-185
ISSN:0022-2542
Container-title:Journal of Mechanical Engineering Science
language:en
Short-container-title:Journal of Mechanical Engineering Science

Author:

Gladwell G. M. L.¹

Affiliation:

1. Department of Mathematics, University College, London; on secondment to Department of Mathematics, University College of the West Indies, Jamaica, 1960-62.

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.

Publisher

SAGE Publications

Subject

General Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1243/JMES_JOUR_1961_003_023_02

Reference9 articles.

1. Littlewood D. E. 1950 ‘A University Algebra’, first edition, pp. 52–54 (Heinemann).

2. Weierstrass K. 1894 ‘Collected Works’, vol. 1, p. 233 (Mayer and Müller, Berlin).

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