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RESEARCH PAPERS: Mechanisms Papers

Dynamic Stability of the Flexible Connecting Rod of a Slider Crank Mechanism

[+] Author and Article Information
Iradj G. Tadjbakhsh, Christos J. Younis

Rensselaer Polytechnic Institute, Troy, NY

J. Mech., Trans., and Automation 108(4), 487-496 (Dec 01, 1986) (10 pages) doi:10.1115/1.3258760 History: Received July 01, 1986; Online November 19, 2009

Abstract

The partial differential equation of motion of the flexible connecting rod of a slider crank is derived, under the assumption of small deflections. Application of the Galerkin procedure, leads to a system of linear ordinary differential equations, with respect to the modal coordinates of vibration of the rod. For periodic solutions, the foregoing system reduces to a system of coupled Hill equations. Application of Floquet theory, determines those values of the parameters: speed, input torque, geometry, and material properties that constitute the boundaries between the regions of stability and instability.

Copyright © 1986 by ASME
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