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This paper presents an analytical procedure and closed-form vibration solutions with analytically determined coefficients for orthotropic circular cylindrical shells having classical boundary conditions. This analysis is based upon the Donnell–Mushtari shell theory. This is the simplest thin shell theory and its results for the lowest frequencies of a closed cylinder may not be as accurate. It is...
Natural vibration of completely free, laminated shallow shells having triangular and trapezoidal planforms is studied. Algebraic polynomials are used in a Ritz analysis to determine the natural frequencies. Detailed convergence studies are made and showed that relatively accurate results can be obtained. The lowest six frequencies for various shell configuration and material lamination angle are listed...
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