Abstract

Analytical models and solutions are formulated and developed for the static responses ofcross ply smart laminated shells with shear piezoelectric actuators. The models are basedon a rigorous first-order shell theory. The state-space approach is used to findexact solutions for the static responses of cross ply spherical, cylindrical anddoubly curved shells with various boundary conditions. The smart shells possesstwo parallel edges simply supported and the remaining ones having any possiblecombination of boundary conditions: free, clamped or simply supported. Deflections ofcross ply laminated shells incorporating shear piezoelectric layers are determined.Numerical results for six layer laminates are generated to investigate the shells’static behavior. The exact solutions for deflections can be used as benchmarksfor approximate solutions such as Rayleigh–Ritz and finite element methods.

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