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Vibration of doubly-curved shallow shells

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Summary

This paper presents the free vibration of thin doubly-curved shallow shells of rectangular planform. The study covers wide combinations of free, simply supported and clamped boundary conditions. Both positive and negative Gaussian curvatures (spherical and hyperbolic paraboloidal shells resepectively) are considered. Thepb-2 Ritz energy based approach, along with the in-plane and transverse deflections assumed in the form of a product of mathematically complete two-dimensional orthogonal polynomials and a basic function, is employed to model the vibratory characteristic of these shells. Numerical results have been established through convergence study and comparison with published data from the open literature. Extensive sets of new results for various ranges of aspect ratio, curvature ratio andx- andy-shallowness ratios have been presented for future reference.

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Author notes

  1. K. M. Liew

    Present address: Dynamics and Vibration Center, School of Mechanical and Production Engineering, Nanyang Technological University, 2263, Singapore

  2. C. W. Lim

    Present address: Department of Civil Engineering, The University of Queensland, 4072, Brisbane, Australia

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    1. K. M. Liew
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    2. C. W. Lim
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    Liew, K.M., Lim, C.W. Vibration of doubly-curved shallow shells. Acta Mechanica 114, 95–119 (1996). https://doi.org/10.1007/BF01170398

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    • DOI: https://doi.org/10.1007/BF01170398

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