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Fundamental frequency determination can help us to find where the resonance will happen. The need of dynamics characteristic is one of the major concerns to find the natural frequency. This paper aims to find the natural frequency of a laminated composite plate and optimizing the plate to get maximum frequency. Finding the optimum design by experimentally are more expensive. To avoid the complications now a days the researchers are using computational method. The present work offering an approach to design optimization of a composite plate with FEA tool and to achieve different combinations of objective using Design of Experiment (DOE) and the maximization of the fundamental natural frequency by using ANSYS Design explorer.

Minimum weight and high-efficiency gearboxes with the maximum service life are the prime necessity of today’s high-performance power transmission systems such as automotive and aerospace. Therefore, the problem to optimize the gearboxes is subjected to a considerable amount of interest. To accomplish these objectives, in this paper, two generalized objective functions for two stage spur-gearbox are formulated; first objective function aims to minimize the volume of gearbox material, while the second aims to maximize the power transmitted by the gearbox. For the optimization purpose, regular mechanical and critical tribological constraints (scuffing and wear) are considered. These objective functions are optimized to obtain a Pareto front for the two-stage gearbox using a specially formulated discrete version of non-dominated sorting genetic algorithm (NSGA-II) code written MATLAB. Two cases are considered, in the first with the regular mechanical constraints.