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Dynamic behavior of thin rectangular plate attached to moving rigid

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Abstract

A nonlinear dynamic model of a thin rectangular plate attached to a moving rigid was established by employing the general Hamilton’s variational principle. Based on the new model, it is proved theoretically that both phenomena of dynamic stiffening and dynamic softening can occur in the plate when the rigid undergoes different large overall motions including overall translational and rotary motions. It was also proved that dynamic softening effect even can make the trivial equilibrium of the plate lose its stability through bifurcation. Assumed modes method was employed to validate the theoretical result and analyze the approximately critical bifurcation value and the postbuckling equilibria.

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Authors and Affiliations

  1. Southwest Institute of Structural Mechanics, P. O. Box 919-401, Mianyang, 621900, Sichuan Province, P. R. China

    Xiao Shi-fu Doctor  (肖世富)

  2. Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, P. R. China

    Chen Bin  (陈滨)

Authors
  1. Xiao Shi-fu Doctor  (肖世富)
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  2. Chen Bin  (陈滨)
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Corresponding author

Correspondence to Xiao Shi-fu Doctor  (肖世富).

Additional information

Communicated by YE Qing-kai

Project supported by the National Natural Science Foundation of China (No.10272002) and the Doctoral Foundation of Ministry of Education of China (No.20020001032)

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Xiao, Sf., Chen, B. Dynamic behavior of thin rectangular plate attached to moving rigid. Appl Math Mech 27, 555–566 (2006). https://doi.org/10.1007/s10483-006-0416-1

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  • DOI: https://doi.org/10.1007/s10483-006-0416-1

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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