Member Initial Curvature Effects on the Elastic Slider-Crank Mechanism Response
Parametric vibration of initially curved columns loaded by axial-periodic loads has received considerable attention, concluding that regions of instability exist and that excitation frequencies less than the natural frequency of the principal resonance may occur. Recent publications have cautioned against the use of curved members in machines designed for precise operation, suggesting a detrimental coupling of the longitudinal and transverse deformations. In this work, the dynamic behavior of a slider-crank mechanism with an initially curved connecting rod is investigated. Governing equations of motion are developed using the Euler-Bernoulli beam theory. Both steady-state and transient solutions are determined, and compared with those obtained for the mechanism possessing a geometrically perfect (straight) connecting rod. A very small initial curvature is shown to cause a significantly greater steady-state response. The magnification in its transient response is shown to be even greater than that due to a straight connecting rod. Additionally, an excitation frequency less than the natural frequency is also shown to occur.
M. L. Badlani and A. Midha, "Member Initial Curvature Effects on the Elastic Slider-Crank Mechanism Response," Journal of Mechanical Design, American Society of Mechanical Engineers (ASME), Jan 1982.
The definitive version is available at http://dx.doi.org/10.1115/1.3256306
Mechanical and Aerospace Engineering
Keywords and Phrases
Mechanisms; Steady State; Resonance; Deformation; Machinery; Stress; Transients (Dynamics); Equations of Motion; Vibration
Article - Journal
© 1982 American Society of Mechanical Engineers (ASME), All rights reserved.