Energy Considerations in Systems With Varying Stiffness

[+] Author and Article Information
J. R. Barber, K. Grosh, S. Oh

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125

J. Appl. Mech 70(4), 465-469 (Aug 25, 2003) (5 pages) doi:10.1115/1.1574060 History: Received July 16, 2001; Revised December 16, 2002; Online August 25, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Benton,  M., and Seireg,  A., 1981, “Factors Influencing Instability and Resonances in Geared Systems,” Trans. ASME J. Mech. Des., 103 , pp. 372–378.
Timoshenko, S. P., Young, D. H., and Weaver, W., 1974, Vibration Problems in Engineering, 4th Ed., John Wiley and Sons, New York, pp. 448–453.
Lee,  E. H., 1952, “On a “Paradox” in Beam Vibration Theory,” Q. J. Appl. Math., 10, pp. 290–292.
Maunder,  L., 1960, “On the Work of a Force Crossing a Beam,” Q. J. Appl. Math., 17, pp. 437–439.
Adams,  G. G., 1995, “Critical Speeds and the Response of a Tensioned Beam on an Elastic Foundation to Repetitive Moving Loads,” Int. J. Mech. Sci., 37, pp. 773–781.
Gavrilov,  S., 2002, “Nonlinear Investigation of the Possibility to Exceed the Critical Speed by a Load on a String,” Acta Mech., 154, pp. 47–60.
Marsden, J. E., and Hughes, T. J. R., 1994, Mathematical Foundations of Elasticity, Dover, New York, pp. 290–292.
Oh, Sejoong, Grosh, Karl, and Barber, J. R., 2003, “Energy Conserving Equations for Gear Motion,” ASME J. Vibr. Acoust., under review.


Grahic Jump Location
(a) The cantilever beam loaded by a normal force, (b) the same beam loaded through a frictionless roller
Grahic Jump Location
General elastic structure loaded by a normal contact force
Grahic Jump Location
Simple gear system using the cantilever beam of Fig. 1
Grahic Jump Location
A flexible involute gear meshing with a rigid rack



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