On seeking buckling modes of a circular plate (Q1180302)

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scientific article; zbMATH DE number 25536
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On seeking buckling modes of a circular plate
scientific article; zbMATH DE number 25536

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    On seeking buckling modes of a circular plate (English)
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    27 June 1992
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    The paper deals with the buckling of a circular plate with constant thickness and axisymmetric deformation. The nonlinear Kármán equations are used for solving the problem. The solution is obtained by using series in Bessel functions. The differential equations are transformed into an infinite system of nonlinear algebraic equations. For solving this system an approximation is introduced using a projection method and a projection-iteration process. Results of computations are presented.
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    buckling
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    circular plate
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    nonlinear Karman equations
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    nonlinear algebraic equations
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    projection method
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    projection-iteration process
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