Solution of Kinematical Differential Equations for a Rigid Body

[+] Author and Article Information
T. R. Kane

Department of Applied Mechanics, Stanford University, Stanford, Calif.

J. Appl. Mech 40(1), 109-113 (Mar 01, 1973) (5 pages) doi:10.1115/1.3422907 History: Received July 01, 1971; Revised November 01, 1971; Online July 12, 2010


This paper deals with the following problem: Given the orientation of a rigid body B at time t0 and the angular velocity of B for t ≥ t0 , find the orientation of B for t ≥ t0 . An approximate solution is found by employing an “averaging” technique and a lemma (proved in the paper) concerned with a special form of matrix exponentials. As a test, the heretofore unsolved problem of an axisymmetric rigid body subjected to the action of a body-fixed transverse torque of constant magnitude is worked out, and results are compared with those of a digital computer solution.

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