Nonplanar Nonlinear Vibration Phenomenon on the One to One Internal Resonance of the Circular Cantilever Beam

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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 et al., "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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$35.00

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