Stability of a Pin-Ended Bar in Torsion and Compression

[+] Author and Article Information
J. A. Walker

Department of Mechanical Engineering and Astronautical Sciences, Northwestern University, Evanston, Ill.

J. Appl. Mech 40(2), 405-410 (Jun 01, 1973) (6 pages) doi:10.1115/1.3422997 History: Received February 01, 1972; Revised April 01, 1972; Online July 12, 2010


The stability of a uniform pin-ended bar having equal principal stiffnesses, subjected to combined torsion and compression, is studied via the direct method of Liapunov for cases in which the torque vector is circulatory; i.e., the torque vector does not bisect the angle between the undeformed and deformed axes of the bar. Liapunov functionals are presented and applied to both the case of a viscous environment and the case of a viscoelastic environment. Several simple stability and instability criteria are obtained in terms of the system parameters.

Copyright © 1973 by ASME
Your Session has timed out. Please sign back in to continue.





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