Hybrid composite is a composite which contains of nanoparticles to improve the strength as related to conventional composites. A model has been projected to define the elastic properties of hybrid composite. The hybrid composite contains of predictable fiber and nanocomposite as matrix. The first step here is to define the properties of nanocomposite which is done by using Mori - Tanaka method. The CNTs are deliberated as cylindrical inclusions in polymer matrix in Mori - Tanaka method. Arrogant perfect bonding among carbon fibers and nanocomposite matrix, the actual properties of the hybrid composite has been estimated using mechanics of materials approach. An 8 noded shell element has been used for the finite element analysis taking 5 degrees of free do mesh node u, v, w, x, y .A10 10 finite element mesh proceed sun remitting happening the convention of characteristic the shell element. The shell coordinates which are in Cartesian form are transformed into parametric formusing twoparameters 1, 2 . Theseparametersare over mapped into isoperimetric form , . A 16 layered enclose with stacking arrangement 0 454590 2S has been recycled for vibration investigation of simply supported shell element. The dynamic equations of shell are resultant using Hamilton's principle. As the damping types of the dynamic system are not available, for further analysis damping ratio of first mode and last active mode are presumed. Using Rayleigh damping the damping ratios of intermediate modes can be considered. The time decay of the structure from maximum amplitude to 5 of the maximum amplitude has been used as a parameter to study some shell structures by varying the volume fraction of CNTs in nanocomposite and by changing carbon fiber volume fraction. Anup Kumar Garg, | H. S. Sahu "Investigation of Nonlinear Damped Vibrations of a Hybrid Laminated Composite Plate Subjected to Blast Load" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-4 , June 2019, URL: https://www.ijtsrd.com/papers/ijtsrd24035.pdf