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http://dx.doi.org/10.3795/KSME-A.2006.30.2.171

Non-Planar Non-Linear Vibration Phenomenon on the One to One Resonance of the Circular Cantilever Beam  

Park Chul-Hui (인하대학교 기계공학과)
Cho Chongdu (인하대학교 기계공학과)
Kim Myoung-Gu (인하대학교 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.30, no.2, 2006 , pp. 171-178 More about this Journal
Abstract
Experimental and theoretical study of the non-planar response motions of a circular cantilever beam subject to base harmonic excitation has been presented in this paper work. Theoretical research is conducted using two non-linear coupled integral-differential equations of motion. These equations contain cubic linearities due do curvature term and inertial term. A combination of the Galerkin procedure and the method of multiple scales are used to construct a first-order uniform expansion for the case of one-to-one resonance. The results show that the non-linear geometric terms are very important for the low-frequency modes of the first and second mode. The non-linear inertia terms are also important for the high-frequency modes. We present the quantitative and qualitative results for non-planar motions of the dynamic behavior.
Keywords
Non-Planar; One-to-One Resonance; Primary Resonance; Base Harmonic Excitation; Non-Linear Inertia;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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