RESEARCH PAPERS: Mechanisms Papers

Parametric Stability of a Two-Degree-of-Freedom Machine System: Part I—Equations of Motion and Stability

[+] Author and Article Information
R. I. Zadoks, A. Midha

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

J. Mech., Trans., and Automation 109(2), 210-215 (Jun 01, 1987) (6 pages) doi:10.1115/1.3267440 History: Received July 01, 1986; Online November 19, 2009


An important question facing a designer is whether a certain machine system will have a stable operating condition. To date, the investigations which deal with this question have been scarce. This study treats an elastic two-degree-of-freedom system with position-dependent inertia and external forcing. In Part I, the nonlinear equations of motion are derived and linearized about the system’s steady-state rigid-body response. The stability of the linearized equations is examined using Floquet theory, and a computationally efficient method for approximating the monodromy matrix is presented. A specific example is proposed and the results are presented in Part II of this paper.

Copyright © 1987 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