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Abstract:
This paper focuses on theoretical and experimental investigations of planar nonlinear vibrations and chaotic dynamics of an L-shape beam structure subjected to fundamental harmonic excitation, which is composed of two beams with right-angled L-shape. The ordinary differential governing equation of motion for the L-shape beam structure with two-degree-of-freedom is firstly derived by applying the substructure synthesis method and the Lagrangian equation. Then, the method of multiple scales is utilized to obtain a four-dimensional averaged equation of the L-shape beam structure. Numerical simulations, based on the mathematical model, are presented to analyze the nonlinear responses and chaotic dynamics of the L-shape beam structure. The bifurcation diagram, phase portrait, amplitude spectrum and Poincare map are plotted to illustrate the periodic and chaotic motions of the L-shape beam structure. The existence of the Shilnikov type multi-pulse chaotic motion is also observed from the numerical results. Furthermore, experimental investigations of the L-shape beam structure are performed, and there is a qualitative agreement between the numerical and experimental results. It is also shown that out-of-plane motion may appear intuitively.
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ACTA MECHANICA SINICA
ISSN: 0567-7718
Year: 2010
Issue: 6
Volume: 26
Page: 967-976
3 . 5 0 0
JCR@2022
ESI Discipline: ENGINEERING;
JCR Journal Grade:2
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 28
SCOPUS Cited Count: 28
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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