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A shear deformable theory of laminated composite shallow shell-type panels and their response analysis. I. Free vibration and buckling. (English) Zbl 0664.73033

This paper deals with the substantiation of a shear deformable theory of cross-ply laminated composite shallow shells. While the developed theory preserves all the advantages of the first order transverse shear deformation theory it succeeds in eliminating some of its basic shortcomings. The theory is further employed in the analysis of the eigenvibration and static buckling problems of doubly curved shallow panels. In this context, the state space concept is used in conjunction with the Lévy method, allowing one to analyze these problems is a unified manner, for a variety of boundary conditions. Numerical results are presented and some pertinent conclusions are formulated.

MSC:

74E30 Composite and mixture properties
74H45 Vibrations in dynamical problems in solid mechanics
74G60 Bifurcation and buckling
74K15 Membranes
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