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Dynamic behavior of three-dimensional composite beam under flapwise excitation

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Abstract

In this paper, dynamic response of a symmetrically laminated composite beam is studied under harmonic base excitation. The base is subjected to flapwise excitation tuned to the primary resonance in the presence of 2:1 internal resonance between the out-of-plane bending motion and the in-plane bending and torsional motions. In literature, modified modulation equations of composite beam have been derived and the stability of fixed points has been investigated in frequency and forced responses. However, post-critical behavior of the modulation equations is studied in this study. In bifurcation diagrams sketched near primary and internal resonances, it appears that detuning the flapwise excitation amplitude causes phenomena like jumps, period doubling, multi and quasi-periodic solutions to occur.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran

    Mojtaba Eftekhari

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  1. Mojtaba Eftekhari
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Correspondence to Mojtaba Eftekhari.

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Recommended by Associate Editor Junhong Park

Mojtaba Eftekhari was born in Kerman, Iran in 1980. He received his B.Sc. in Mechanical Engineering from Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran in September 2003. He obtained his M.Sc. and Ph.D. degrees in vibration and control from the Department of Mechanical Engineering, Isfahan University of Technology in 2006 and 2012, respectively. He has been a faculty member of Mechanical Engineering Department at Shahid Bahonar University of Kerman, Kerman, Iran since 2013. His research interests include nonlinear vibration, nonlinear control and dynamical systems.

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Eftekhari, M. Dynamic behavior of three-dimensional composite beam under flapwise excitation. J Mech Sci Technol 30, 3515–3521 (2016). https://doi.org/10.1007/s12206-016-0711-7

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  • DOI: https://doi.org/10.1007/s12206-016-0711-7

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