Parametric Stability of a Two-Degree-Of-Freedom Machine System: Part I - Equations of Motion and Stability
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.
R. I. Zadoks and A. Midha, "Parametric Stability of a Two-Degree-Of-Freedom Machine System: Part I - Equations of Motion and Stability," Journal of Mechanical Design, American Society of Mechanical Engineers (ASME), Jan 1987.
The definitive version is available at https://doi.org/10.1115/1.3267440
Mechanical and Aerospace Engineering
Keywords and Phrases
Stability; Machinery; Equations of Motion; Equations; Nonlinear Equations; Steady State; Motion; Foundry Coatings; Inertia (Mechanics)
Article - Journal
© 1987 American Society of Mechanical Engineers (ASME), All rights reserved.