Smart Structures and Systems

  • 제14권5호
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  • Pages.743-763
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  • 2014
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Period doubling of the nonlinear dynamical system of an electrostatically actuated micro-cantilever

  • Chen, Y.M. (Department of Mechanics, Sun Yat-sen University) ;
  • Liu, J.K. (Department of Mechanics, Sun Yat-sen University)
  • 투고 : 2012.07.14
  • 심사 : 2013.08.31
  • 발행 : 2014.11.25
⟨ 이전 논문 다음 논문 ⟩

초록

The paper presents an investigation of the nonlinear dynamical system of an electrostatically actuated micro-cantilever by the incremental harmonic balance (IHB) method. An efficient approach is proposed to tackle the difficulty in expanding the nonlinear terms into truncated Fourier series. With the help of this approach, periodic and multi-periodic solutions are obtained by the IHB method. Numerical examples show that the IHB solutions, provided as many as harmonics are taken into account, are in excellent agreement with numerical results. In addition, an iterative algorithm is suggested to accurately determine period doubling bifurcation points. The route to chaos via period doublings starting from the period-1 or period-3 solution are analyzed according to the Floquet and the Feigenbaum theories.

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과제정보

연구 과제 주관 기관 : NSFC

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피인용 문헌

  1. Identification of an Airfoil-Store System with Cubic Nonlinearity via Enhanced Response Sensitivity Approach pp.1533-385X, 2018, https://doi.org/10.2514/1.J057195