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