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A generalized variational principle of composite shallow shells and its application to the folded shell

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Abstract

In this paper, a generalized variational principle of elastodynamics in composite shallow shells with edge beams is presented, and its equivalence to corresponding basic equations, ridge conditions and boundary conditions is proved. Then this variational principle is applied to the folded shell structure. By means of double series, the approximate analytical solutions for statics and dynamics under common boundary conditions are obtained. The comparison of our results with FEM computations and experiments shows the analytical solutions have good convergence and their accuracy is quite satisfactory.

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Authors and Affiliations

  1. Zhejiang University, Hangzhou

    Ni Hai-ying & Tong Jing-yu

Authors
  1. Ni Hai-ying
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  2. Tong Jing-yu
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Communicated by Dai Shi-qiang

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Hai-ying, N., Jing-yu, T. A generalized variational principle of composite shallow shells and its application to the folded shell. Appl Math Mech 7, 677–685 (1986). https://doi.org/10.1007/BF01895979

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  • DOI: https://doi.org/10.1007/BF01895979

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