0
REVIEW ARTICLES

Equations for Nonlinear Analysis of 3D Motions of Beams

[+] Author and Article Information
M. R. M. Crespo da Silva

Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, Troy, New York 12180-3590

Appl. Mech. Rev 44(11S), S51-S59 (Nov 01, 1991) doi:10.1115/1.3121373 History: Online April 30, 2009

Abstract

The formulation of a set of mathematically consistent differential equations for analyzing nonlinear flexural–flexural–torsional–extensional motions of an Euler–Bernoulli beam is presented. The beam may be mounted on a rotating or on a non–rotating base. A brief discussion on an Euler-like form of the equations is also presented. When the equations are expanded about their equilibrium solution to a desired order in an artificial “bookkeeping parameter” ε, the resulting equations are well suited for a perturbation analysis of the motion. Such analysis discloses a number of important nonlinear phenomena exhibited by the system. Order ε3 equations expanded about the zero equilibrium are also developed here.

Copyright © 1991 by American Society of Mechanical Engineers
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