AN ASYMPTOTIC THEORY FOR DYNAMIC-RESPONSE OF DOUBLY-CURVED LAMINATED SHELLS

An asymptotic theory for dynamic analysts of doubly curved laminated s hells is formulated within the framework of three-dimensional elastici ty. Multiple time scales are introduced in the formulation so that the secular terms can be eliminated in obtaining a uniform expansion lead ing to valid asymptotic solutions. By means of reformulation and asymp totic expansions the basic three-dimensional equations are decomposed into recursive sets of equations that can be integrated in succession. The classical laminated shell theory (CST) is derived as a leading-or der approximation to the three-dimensional theory. Modifications to th e leading-order approximation are obtained systematically by consideri ng the solvability conditions of the higher-order equations. The essen tial feature of the theory is that an accurate elasticity solution can be determined hierarchically by solving the CST equations in a consta nt way without treating the layers individually. Illustrative examples are given to demonstrate the performance of the theory. Copyright (C) 1996 Elsevier Science Ltd.