Abstract

Using the strain-displacement relations due to Flügge and a derivation method based upon that of Schwaighofer and Microys, the set of governing equations is derived for a general laminated cylindrical shell with monoclinic layers, under general distributed loads. For the particular case of a shell with specially orthotropic layers, a solution to the pinched cylinder problem is obtained following the method of Yuan and Ting, allowing a number of benchmark solutions to be obtained. Such benchmarks are presented for long and short simply supported cylinders with homogeneous orthotropic and asymmetrically laminated properties. Comparison of the analytical results with those from typical axisymmetric and general shell finite elements gives excellent agreement in all cases.

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