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http://dx.doi.org/10.5050/KSNVN.2004.14.12.1314

Nonlinear Vibration Phenomenon for the Slender Rectangular Cantilever Beam  

Park, Chul-Hui (인하대학교 기계공학과)
Cho, Chong-Du (인하대학교 기계공학과)
Piao, Chang-Hao (인하대학교 기계공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.14, no.12, 2004 , pp. 1314-1321 More about this Journal
Abstract
The non-linear responses of a slender rectangular cantilever beam subjected to lateral harmonic base-excitation are investigated by the 2-channel FFT analyzer. Both linear and nonlinear behaviors of the cantilever beam are compared with each other. Bending mode, torsional mode, and transverse mode are coupled in such a way that the energy transfer between them are observed. Especially, superharmonic, subharmonic, and chaotic motions which result from the unstable inertia terms in the transverse mode are analyzed by the FFT analyzer The aim is to give the explanations of the route to chaos, i.e., harmonic motion \longrightarrow superharmonic motion \longrightarrow subharmonic motion \longrightarrow chaos.
Keywords
Slender Rectangular Cantilever Beam; Nonlinear Inertia Term; Transverse Mode; Harmonic Excitation; Superharmonic Motion; Subharmonic Motion; Chaos; Mode Coupling;
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