0
TECHNICAL BRIEFS

A One Dimensional Crystal With Nearest Neighbors Coupled Through Their Velocities

[+] Author and Article Information
J. N. Boyd, P. N. Raychowdhury

Department of Mathematical Sciences, Virginia Commonwealth University, Richmond, VA. 23284

J. Dyn. Sys., Meas., Control 103(3), 293-296 (Sep 01, 1981) (4 pages) doi:10.1115/1.3140642 History: Received January 25, 1980; Online July 21, 2009

Abstract

We consider a circular array of point masses connected by springs of non-negligible mass. In the Lagrangian for the harmonic motions of this system, the movements of neighboring point masses are coupled through both the kinetic and potential energies. By use of transformations derived from the theory of projection operators, we simplify the Lagrangian and obtain the natural frequencies of the motions of the system as functions of the number of particles present. We note that for large numbers of particles, the results for our circular array will yield the frequencies of a one dimensional crystal.

Copyright © 1981 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In