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Dynamic analysis of thin elastic noncircular conical shells - MaRDI portal

Dynamic analysis of thin elastic noncircular conical shells (Q1052868)

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scientific article; zbMATH DE number 3817164
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English
Dynamic analysis of thin elastic noncircular conical shells
scientific article; zbMATH DE number 3817164

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    Dynamic analysis of thin elastic noncircular conical shells (English)
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    1983
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    free vibration problem
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    elliptical frustums
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    linear Donnell-type equations of motion
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    expressed in terms of shell middle surface displacement components
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    solved approximately
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    Galerkin's method
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    numerical results
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    frustums with clamped both edges
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    several sets of equations of motion
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    thin conical shell, in terms of middle surface orthogonal line-of-curvature coordinate system
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    geometrical characteristics of middle surface lines of curvature
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    certain closed convex plane curve as cross-section
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    geometrical characteristics
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    non- plane beta-lines of principle curvature expressed in terms of corresponding characteristics of conical base curve
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    Kirchhoff-Love's assumptions
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    set of nonlinear high accuracy equations of motion for thin noncircular conical shells
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