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http://dx.doi.org/10.5050/KSNVN.2006.16.2.176

Modeling and Verification for Stability Analysis of Axially Oscillating Cantilever Beams  

Kim, Sung-Do (한양대학교 대학원 기계설계학과)
Yoo, Hong-Hee (한양대학교 기계공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.16, no.2, 2006 , pp. 176-182 More about this Journal
Abstract
Modeling and verification for stability analysis of axially oscillating cantilever beams are investigated in this paper Equations of motion for the axially oscillating beams are derived and transformed into dimensionless forms. The equations include harmonically oscillating parameters which are related to the motion-induced stiffness variation. stability diagram is obtained by using the multiple scale perturbation method. To verify the accuracy of the modeling method, several points in the plane of the stability diagram are presented and solved. The present modeling method proves to be as accurate as a nonlinear finite element modeling method.
Keywords
Axially Oscillating Motion; Cantilever Beam; Motion-induced Stiffness Variation; Parametric Resonance; Dynamic Stability;
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