Paper Title:
Nonplanar Nonlinear Vibration Phenomenon on the One to One Internal Resonance of the Circular Cantilever Beam
  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 nonlinear 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.

  Info
Periodical
Key Engineering Materials (Volumes 326-328)
Edited by
Soon-Bok Lee and Yun-Jae Kim
Pages
1641-1644
DOI
10.4028/www.scientific.net/KEM.326-328.1641
Citation
M. G. Kim, C. D. Cho, C. B. Kim, H. J. Cho, "Nonplanar Nonlinear Vibration Phenomenon on the One to One Internal Resonance of the Circular Cantilever Beam", Key Engineering Materials, Vols. 326-328, pp. 1641-1644, 2006
Online since
December 2006
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$32.00
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