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A shear deformable theory of laminated composite shallow shell-type panels and their response analysis I: Free vibration and buckling

Acta Mechanica volume 76, pages 1–33 (1989)Cite this article

Summary

This paper deals with the substantiation of a shear deformable theory of cross-ply laminated composite shallow shells. While the developed theory preserves all the advantages of the first order transverse shear deformation theory it succeeds in eliminating some of its basic shortcomings. The theory is further employed in the analysis of the eigenvibration and static buckling problems of doubly curved shallow panels. In this context, the state space concept is used in conjunction with the Lévy method, allowing one to analyze these problems in a unified manner, for a variety of boundary conditions. Numerical results are presented and some pertinent conclusions are formulated.

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Authors and Affiliations

  1. Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA, USA

    L. Librescu, A. A. Khdeir & D. Frederick

Authors
  1. L. Librescu
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  2. A. A. Khdeir
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  3. D. Frederick
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Librescu, L., Khdeir, A.A. & Frederick, D. A shear deformable theory of laminated composite shallow shell-type panels and their response analysis I: Free vibration and buckling. Acta Mechanica 76, 1–33 (1989). https://doi.org/10.1007/BF01175794

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  • DOI: https://doi.org/10.1007/BF01175794

Keywords

  • State Space
  • Fluid Dynamics
  • Shear Deformation
  • Free Vibration
  • Response Analysis