0
RESEARCH PAPERS

A Generalized Minimum Principle and Its Application to the Vibration of a Wedge With Rotatory Inertia and Shear

[+] Author and Article Information
H. C. Lee

Rensselaer Polytechnic Institute, Troy, N. Y.

J. Appl. Mech 30(2), 176-180 (Jun 01, 1963) (5 pages) doi:10.1115/1.3636508 History: Received June 20, 1962; Online September 16, 2011

Abstract

The minimum principle and step-by-step iteration method are generalized for coupled simultaneous differential equations in order to obtain an approximate solution for the flexural vibration frequencies of a wedge with rotatory inertia and shear effects. This procedure avoids the difficulty of solving the nonself-adjoint equation which results when the simultaneous equations for bending slope and displacement are combined into a single differential equation. The upper and lower bounds of the first two eigenvalues are established and a comparison is made with the classical Kirchhoff solution where the rotatory inertia and shear are neglected.

Copyright © 1963 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