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Experiments on nonlinear vibrations of a combined structure with segments of beams and a disc subjected to axial tensile force

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Abstract

This paper presents experimental results on nonlinear vibrations of a combined structure with segments of beams and a disc, which is a fundamental model of a micro scanner. Both ends of the structure are clamped for deflection and one of the ends of the structure is constrained with an axial spring. Under an axial tensile force, the structure is excited with lateral periodic acceleration. Sweeping the excitation frequency, nonlinear frequency response curves are obtained. In the typical frequency region, non-periodic responses are generated. The responses are inspected by the Fourier spectrum, the Poincaré projection, the maximum Lyapunov exponents and the principal component analysis. The non-periodic responses are confirmed as chaotic responses coupled with torsional and the lowest flexural modes of the combined structure.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Graduate School of Engineering, Gunma University, 1-5-1 Tenjin-cho, Kiryu, Gunma, 376-8515, Japan

    Kenji Okada

  2. Division of Mechanical Science and Technology, Graduate School of Science and Technology, Gunma University, 1-5-1 Tenjin-cho, Kiryu, Gunma, 376-8515, Japan

    Shinichi Maruyama & Takao Yamaguchi

  3. Gunma University, Gunma, Japan

    Ken-ichi Nagai

Authors
  1. Kenji Okada
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  2. Shinichi Maruyama
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  3. Ken-ichi Nagai
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  4. Takao Yamaguchi
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Correspondence to Shinichi Maruyama.

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Okada, K., Maruyama, S., Nagai, Ki. et al. Experiments on nonlinear vibrations of a combined structure with segments of beams and a disc subjected to axial tensile force. Int. J. Dynam. Control 3, 148–156 (2015). https://doi.org/10.1007/s40435-014-0135-0

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  • DOI: https://doi.org/10.1007/s40435-014-0135-0

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