There are several simplifications, such as the Donnell approximations, but it is not clear when they can be made, and obtain accurate results. The curvature of the shell forces a coupling of the differential equations involving the displacements u 0 , v 0 , and w. Unable to display preview. Download preview PDF.
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Scientific Research An Academic Publisher. The effect of the shell curvatures is included from the beginning of the theory formulation in the kinematic model. The solutions are given in terms of generalized displacement components of points lying on the middle surface of the shell. The discretization of the system by means of the GDQ technique leads to a standard linear problem for the static analysis and to a standard linear eigenvalue problem for the dynamic analysis.
Comparisons between the present formulation and the Reissner-Mindlin theory are presented. Furthermore, GDQ results are compared with those obtained by using commercial programs. Very good agreement is observed. Finally, new results are presented in order to investtigate the effects of the Winkler modulus, the Pasternak modulus and the inertia of the elastic foundation on the behavior of laminated shells of revolution.
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The Vibration of Cylindrical Shells