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Dynamic analysis of a deployable/retractable damped cantilever beam

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Abstract

Deployable/retractable damped cantilever beams are a class of time-varying parametric structures which have attracted considerable research interest due to their many potential applications in the intelligent robot field and aerospace. In the present work, the dynamic characteristics of a deployable/retractable damped cantilever beam are investigated experimentally and theoretically. The time-varying damping, as a function of the beam length, is obtained by both the enveloped fitting method and the period decrement method. Furthermore, the governing equation of the deployable/retractable damped cantilever beam is derived by introducing the time-varying damping parameter, and the corresponding closed-form solution and vibration principles are investigated based on the averaged method. The theoretical predictions for transient dynamic responses are in good agreement with the experimental results. The dynamic mechanism analysis on time-varying damping offers flexible technology in mechanical and aerospace fields.

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Author information

Authors and Affiliations

  1. Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing, 100081, China

    Ming Liu

  2. China Academy of Launch Vehicle Technology, Beijing, 100076, China

    Zhi Li

  3. Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing, 100124, China

    Xiaodong Yang & Wei Zhang

  4. City University of Hong Kong Shenzhen Research Institute, Shenzhen, 518057, China

    C. W. Lim

  5. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong, China

    C. W. Lim

Authors
  1. Ming Liu
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  2. Zhi Li
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  3. Xiaodong Yang
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  4. Wei Zhang
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  5. C. W. Lim
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Corresponding author

Correspondence to Xiaodong Yang.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11672007 and 11832002) and the Graduate Technological Innovation Project of Beijing Institute of Technology (No. 2017CX10037)

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Liu, M., Li, Z., Yang, X. et al. Dynamic analysis of a deployable/retractable damped cantilever beam. Appl. Math. Mech.-Engl. Ed. 41, 1321–1332 (2020). https://doi.org/10.1007/s10483-020-2650-6

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  • DOI: https://doi.org/10.1007/s10483-020-2650-6

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