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Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells

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Abstract

In the previous paper[7], the author presented a System of First-Order Differential Equations for the problem of axisymmetrically loaded shells of revolution with small elastic, strains and arbitrarily large axial deflections, and a Method of Variable-Characteristic Nondimensionization with a Scale of Load Parameter. On this basis, by taking the weighted root-mean-square deviation of angular deflection from linearity as perturbation parameter, this paper pressents a perturbation system of nondimensional differential equations for the problem, thus transforms the geometrical nonlinear problem into several linear problems. This paper calculates these linear problems by means of the initial parameter method of numerical integration. The numerical results agree quite well with the experiments.

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References

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Authors and Affiliations

  1. Shanghai University of Technology, Shanghai

    Hwang Chien

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  1. Hwang Chien
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Communicated by Chien Wei-zang

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Chien, H. Perturbation initial parameter method for solving the geometrical nonlinear problem of axisymmetrical shells. Appl Math Mech 7, 573–585 (1986). https://doi.org/10.1007/BF01899556

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  • DOI: https://doi.org/10.1007/BF01899556

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