0
RESEARCH PAPERS: Vibrations Papers

A Strain Energy Comparison of Discrete Modeling for Vibrating Continuous Systems

[+] Author and Article Information
S. K. Tolani, R. D. Rocke

Department of Mechanical and Aerospace Engineering, University of Missouri—Rolla, Rolla, Mo.

J. Eng. Ind 94(1), 23-30 (Feb 01, 1972) (8 pages) doi:10.1115/1.3428117 History: Received May 11, 1971; Online July 15, 2010

Abstract

Lumped parameter models commonly used to describe continuous one-dimensional and Bernoulli-Euler beam vibration problems have been compared on the basis of maximum system strain energy. The consistent mass matrix approach has been included in the comparison. Standard matrix techniques have been employed to mathematically obtain desired solutions. Closed form solutions and solutions via the models to the system strain energy were obtained for all systems in three dynamic states: Free vibrations, constant base acceleration, and half sine base acceleration. Behavior of the strain energy errors, in general, were found to be similar to those of the frequency root errors.

Copyright © 1972 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