On the Characteristics of Optimal Stacking Sequence for Nonlinear Vibration of Laminated Composite Circular Cylindrical Shells

摘要

The present paper studies the optimization for geometrically nonlinear vibration of FRP laminated composite, circular cylindrical shells. For this purpose, the backbone curve equation for primary resonance of the shell is derived analytically considering geometrical nonlinearities by using the Galerkin's method and the harmonic balance method. In optimization, fiber angles of each lamina for a symmetrically balanced laminated shell are taken as discrete design variables, and both of nonlinear natural frequency and linear natural frequency are taken as object functions to be maximized simultaneously. In numerical calculations Multi Objective Genetic Algorithm (MOGA) with Fonseca-type rank evaluation and sharing procedure is employed for the present problem, and thus parete optimum solutions are obtained numerically. Finally optimal stacking sequence of the shell is discussed by comparing the backbone curves obtained for the parete optimum design solutions.