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Nonlinear forced vibration analysis of composite beam considering internal damping

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Abstract

In a structure made of composite material, dynamic behavior must be analyzed in consideration of internal damping that occurs due to the damping property of the matrix material. In the present study, a methodology for modeling the damping properties of composite materials from the measured damping parameters is proposed. The hierarchical finite element method is used to analyze the nonlinear forced vibration of composite beams. The beam element used in the analysis has two nodal points, and each node has three degrees of freedom. The displacement of composite beam elements is expressed using Euler–Bernoulli beam theory, and the strain–displacement relationship is expressed by von Kármán theory. The internal damping of the composite material is calculated from the measured damping parameters. The nonlinear forced vibration equation is solved using the IHB method. To prove the effectiveness of the proposed method, the results calculated using the Conventional finite element method are compared with the results calculated by the method proposed in the paper. Based on this, a nonlinear forced vibration analysis considering the internal damping of the composite material is carried out and the corresponding conclusions are obtained.

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Authors and Affiliations

  1. Institute of Mechanical Engineering, Academy of Sciences, Pyongyang, 999093, Democratic People’s Republic of Korea

    Kwangchol Kim

  2. Department of Light Industry Machinery Engineering, Pyongyang University of Mechanical Engineering, Pyongyang, 999093, Democratic People’s Republic of Korea

    Kwangchol Ri

  3. Faculty of Forest Science, Kim Il Sung University, Pyongyang, 999093, Democratic People’s Republic of Korea

    Cholil Yun

  4. College of Ship and Ocean Technology, Kim Chaek University of Technology, Pyongyang, 999093, Democratic People’s Republic of Korea

    Choljun Pak & Poknam Han

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  1. Kwangchol Kim
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  2. Kwangchol Ri
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  3. Cholil Yun
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  4. Choljun Pak
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  5. Poknam Han
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Correspondence to Kwangchol Ri.

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Kim, K., Ri, K., Yun, C. et al. Nonlinear forced vibration analysis of composite beam considering internal damping. Nonlinear Dyn 107, 3407–3423 (2022). https://doi.org/10.1007/s11071-021-07148-x

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