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Discrete optimisation of a gear train using biogeography based optimisation technique

机译:使用基于生物地理学的优化技术对齿轮系进行离散优化

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摘要

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.
机译:本文提出了一种新的全局优化算法,即基于生物地理的优化(BBO),用于解决齿轮系的离散优化问题。通过从文献中解决四级齿轮系的离散优化问题,证明了所提出的优化算法的效率和易用性。考虑的目标是最小化重量。考虑了八十六个不等式约束,包括弯曲疲劳强度,接触强度,接触比,小齿轮/齿轮尺寸,壳体尺寸,齿轮节距和运动学约束。优化中考虑了22个离散的设计变量。进行设计修改以减少设计变量,其中包括具有18和14个设计变量的两个不同的设计。将该方法的结果与使用其他优化方法(例如遗传算法,粒子群优化(PSO)和差分进化(DE))获得的结果进行比较。使用BBO获得的解决方案优于使用其他优化技术获得的解决方案。

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