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Dynamic jump analysis of Bi-stable square plate under foundation excitation

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Abstract

Bi-stable composite laminated structure was a composite laminated structure with two different steady-state characteristics, which could be kept in two steady states without the maintenance of external loads. In this paper, the dynamic governing equation of bi-stable cross-ply carbon fiber-reinforced composite laminates under foundation excitation is established by using Hamilton's principle, taking into account geometric nonlinearity. Newton–Raphson method is used to solve the equilibrium point, and the effect of curing temperature on the steady-state configuration of bi-stable laminates is studied. The equations are numerically simulated by using Runge–Kutta method, which allows the nonlinear dynamic response curve of the system to be obtained, and the dynamic jump analysis of the bi-stable laminates is carried out.

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Acknowledgements

The authors gratefully acknowledge the supports of National Natural Science Foundation of China (NNSFC) through Grant Nos. 12002057 and 11832002, Scientific Research Project of Beijing Educational Committee No. KM202111232023, Qin Xin Talents Cultivation Program, Beijing Information Science and Technology University QXTCP C202102.

Funding

Natural Science Foundation of China (NNSFC) through Grant Nos. 12002057 and 11832002; Scientific Research Project of Beijing Educational Committee No. KM202111232023; Qin Xin Talents Cultivation Program, Beijing Information Science and Technology University QXTCP C202102.

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Authors and Affiliations

  1. College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing, 100192, People’s Republic of China

    S. W. Yang & Z. Q. Wang

  2. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, People’s Republic of China

    W. Zhang

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  1. S. W. Yang
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Contributions

S. W. Yang—Funding, Availability of data and material, Code availability; Z.Q. Wang—Availability of data and material; W. Zhang—Funding.

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Correspondence to W. Zhang.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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The authors declare that this manuscript is the result of our creation under the reviewers’ comments. Except for the quoted contents, this manuscript does not contain any research achievements that have been published or written by other individuals or groups. The legal responsibility of this statement shall be borne by us.

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Yang, S.W., Wang, Z.Q. & Zhang, W. Dynamic jump analysis of Bi-stable square plate under foundation excitation. Int. J. Dynam. Control 10, 1760–1769 (2022). https://doi.org/10.1007/s40435-022-00958-w

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  • DOI: https://doi.org/10.1007/s40435-022-00958-w

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