RESEARCH PAPERS: Mechanisms Papers

Parametric Stability of a Two-Degree-of-Freedom Machine System: Part II—Stability Analysis

[+] 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), 216-223 (Jun 01, 1987) (8 pages) doi:10.1115/1.3267441 History: Received July 01, 1986; Online November 19, 2009


In this paper, the equations developed in a companion paper (Part I) are adapted for use in developing stability charts. The nonlinear equations of motion were developed for a two-degree-of-freedom machine system in torsional vibration. Eigenvalues of the monodromy matrix, called Floquet multipliers, facilitate the examination of the solution to the linearized equations of motion. Two methods for producing the stability charts are presented here. A single-cylinder internal combustion engine is used as an example and sample results are included.

Copyright © 1987 by ASME
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