Nonlinear axisymmetric response of orthotropic thin truncated conical and spherical caps (Q1071576)

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scientific article; zbMATH DE number 3940883
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Nonlinear axisymmetric response of orthotropic thin truncated conical and spherical caps
scientific article; zbMATH DE number 3940883

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    Nonlinear axisymmetric response of orthotropic thin truncated conical and spherical caps (English)
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    1986
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    An approximate analytical solution of the large deflection axisymmetric response of polar orthotropic thin truncated conical and spherical shallow caps is presented. Donnell type equations are employed. The deflection is approximated by a one term mode shape satisfying the boundary conditions. The Galerkin method is used to get the governing equation for the deflection at the hole. Nonlinear free vibration response and the response under uniformly distributed static and step function loads are obtained. The effect of various parameters is investigated.
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    approximate analytical solution
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    large deflection axisymmetric response
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    polar orthotropic thin truncated conical and spherical shallow caps
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    Donnell type equations
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    one term mode shape
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    Galerkin method
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    Nonlinear free vibration response
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    uniformly distributed static and step function loads
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    effect of various parameters
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