Chaotic vibration and resonance phenomena in a parametrically excited string-beam coupled system
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The nonlinear behavior of a string-beam coupled system subjected to parametric excitation is investigated in this paper. Using the method of multiple scales, a set of first order nonlinear differential equations are obtained. A numerical simulation is carried out to verify analytic predictions and to study the steady-state response, stable solutions and chaotic motions. The numerical results show that the system behavior includes multiple solutions, and jump phenomenon in the resonant frequency response curves. It is also shown that chaotic motions occur and the system parameters have different effects on the nonlinear response of the string-beam coupled system. Results are compared to previously published work.
KeywordsParametric excitation Hardening and softening nonlinearities Chaotic motion
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- 2.Jun L, Hongxing H (2010) Free vibration analysis of axially loaded laminated composite beams based on higher-order shear deformation theory. Meccanica. doi: 10.1007/s11012-010-9388-7
- 4.Faravelli L, Fuggini C, Ubertini F (2010) Experimental study on hybrid control of multimodal cable vibrations. Meccanica. doi: 10.1007/s11012-010-9364-2
- 5.Attarnejad R, Shahba A (2010) Dynamic basic displacement functions in free vibration analysis of centrifugally stiffened tapered beams; a mechanical solution. Meccanica. doi: 10.1007/s11012-010-9383-z
- 21.Nayfeh AH (2001) Nonlinear interactions: analytical, computational, and experimental methods. Wiley, New York Google Scholar