Discrete optimisation of a gear train using biogeography based optimisation technique

Abstract

In this paper, a new global optimisation algorithm, biogeography based optimisation (BBO), for solving discrete optimisation of a gear train is presented. The efficiency and ease of application of the proposed optimisation algorithm is demonstrated by solving a discrete optimisation problem of a four stage gear train from the literature. The objective considered is minimisation of weight. Eighty six inequality constraints are considered which include, bending fatigue strength, contact strength, contact ratio, pinion/gear size, housing size, pitch for gears and kinematic constraints. Twenty two discrete design variables are considered in the optimisation. Design modification is done to reduce the design variables which include two different designs with 18 and 14 design variables. The results of the proposed method are compared with the results obtained by using other optimisation methods such as genetic algorithm, particle swarm optimisation (PSO), and differential evolution (DE). The solution obtained by using BBO is superior to those obtained by using other optimisation techniques.