Document Type

Article

Original Publication Date

1980

Journal/Book/Conference Title

International Journal of Mathematics and Mathematical Sciences

Volume

3 (1980)

Issue

2

DOI of Original Publication

10.1155/S0161171280000257

Comments

Originally published at http://dx.doi.org/10.1155/S0161171280000257

Date of Submission

August 2014

Abstract

We apply projection operator techniques to the computation of the natural frequencies of oscillation for three symmetrically coupled mechanical systems. In each case, the rotation subgroup of the full symmetry group is used to determine the projection operators with the result that the Lagrangian must be expressed in terms of complex-valued coordinates. In the coordinate system obtained from the action of the projection operators upon the original coordinates, the Lagrangian yields equations of motion which are separated to the maximum extent made possible by symmetry considerations.

Rights

Copyright © 1980 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Is Part Of

VCU Mathematics and Applied Mathematics Publications

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