The Proceedings of the Dynamics & Design Conference
Online ISSN : 2424-2993
2007
Session ID : 517
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517 Experiments on Chaotic Vibrations of a Cantilevered Beam Geometrically Constrained by a Stretched-string at a Tip End
Ken-ichi NAGAIShinichi MARUYAMADaichi SOGAMOTOTakao YAMAGUCHI
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Abstract
This study presents experimental results on chaotic vibrations of a post-buckled cantilevered beam geometrically constrained by a stretched-string at a tip end. One end of the string is fixed on a spring plate and the other end is connected to the free edge of the beam. The string i s stretched by moving the spring plate, then the beam is buckled to a post-buckled configuration. Post-buckled cantilevered beam is subjected to lateral periodic acceleration, then chaotic responses appear accompanied by internal resonance. Chaotic responses are examined by the Fourier spectrum, the Poincare map and maximum Lyapnov exponents. Contributions of vibration modes to the chaotic responses are analyzed by the principal component analysis.
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© 2007 The Japan Society of Mechanical Engineers
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