The present paper deals with a non-linear dynamical analysis of laminated reinforced composite doubly curved shallow shells. The motion equations of shell based upon the thin shell theory considering the geometrical non- linearity and the Lekhnitsky 's smeared stiffeners technique. Simultaneous ordinary differential equations arc obtained by means of l3ubnov-Galerkin 's procedure. | Vietnam Journal of Mechanics, VAST, Vol. 29, No. 3 (2007), pp. 257 - 269 Special Issue Dedicated to the l\tlemory of Prof. Nguyen Van Dao NON-LINEAR DYNAMICAL ANALYSIS OF LAMINATED REINFORCED COMPOSITE DOUBLY CURVED SHALLOW SHELLS Vu Do LONG Vietnam National University, Hanoi DAO HUY BICI-l AND Abstract. The present paper deals with a non-linear dynamical analysis of laminated reinforced composite doubly curved shallow shells. The motion equations of shell based upon the thin shell theory considering the geometrical non- linearity and the Lekhnitsky 's smeared stiffeners technique. Simultaneous ordinary differential equations arc obtained by means of l3ubnov-Galerkin 's procedure. Non-linear responses arc calculated by using an iterative procedure in conjunction with Newmark constant acceleration scheme. Obtained results allow to discover the influence of stiffeners , the shell geometry on the non-linear response of eccentrically stiffened laminated composite shells. 1. INTRODUCTION Reinforced laminated structures like plates and shallow shells are widely used in different types of structures such as aircraft and hull of ships. The stiffening member provides the benefit of added load-carrying capability with a relatively small additional weight penalty. The static and dynamic problems of laminated plates with geometrical nonlinearity were described in a book by Chia [1] extensively. Sathyamoorthy [2] reviewed a great number of papers dealing with the non-linear vibration of plates. Unreinforced composite cylindrical shells have been analysed by analytical solution procedure or finite element technique [3-9]. Static and buckling analyses of reinforced cylindrical shells have been investigated in [10-14]. However the non-linear analysis of laminated reinforced composite shells in general has received comparatively little attenion, this may be because of their inherent complexity, when the loading is large the geometric non-linearity of the shell must be .
