Using a high-order Reisner-Mindlin-type shear deformation theory in a power series form, the general large deformation form of the Green strain tensor for imperfect cylindrical shells is introduced. Then, based on Hamilton’s principle, the equations of motion are derived for laminated composite shells. Related constitutive equations are also proposed. In this formulation, temperature dependency of material properties is considered, too. No simplifications are made in solving the coupled nonlinear equations of motion. Finally, few examples of the well-known references are reconsidered for comparison purposes.
A High-Order Theory for Dynamic Buckling and Postbuckling Analysis of Laminated Cylindrical Shells
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Eslami, M. R., and Shariyat, M. (February 1, 1999). "A High-Order Theory for Dynamic Buckling and Postbuckling Analysis of Laminated Cylindrical Shells." ASME. J. Pressure Vessel Technol. February 1999; 121(1): 94–102. https://doi.org/10.1115/1.2883673
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