Design on this, various designs are described using the

Design optimization of gearboxes has been a subject of considerableinterest, especially in the present withthe rise in demand for power transmission applications. Gear drives are usuallypreferred to transmit power because of their compactness ability to transmithigher power and a wide range of thevelocity ratios.

But as the size of the gears reduces, gears are prone to the various type of failures, for instance, the stresses increase and theprobability that a component fail increases. With the ever-growing powerrequirements for all the applications and like of the space to accommodate thegrowing equipment size needs arises to optimize the size weight power and otherrequired factors.Optimization is the process of adjusting the inputs or characteristicsof a device, mathematical process, system, or experiment to find the minimum ormaximum output or result 1. To achieve this, theobjectives which are to be optimized are expressed in mathematical equationswhich are known as objective functions,cost functions, or fitness functions, which are subjected to a set ofconstraints (design requirements) and based on this, various designs aredescribed using the design variables.

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Due to the size and high complexity ofthe design problem, even the most skilled design engineers will not be able to considerall the variables simultaneously. This is where the design optimization comesin. It is the application of numerical algorithms and techniques to engineeringsystems to assists the design engineers in improving the desired parameter ofthe system. In general, optimization methods can be categorized into Single-ObjectiveOptimization (SO) or Multi-Objective Optimization (MO) depending on the numberof objective functions. The following sections of the current chapter present important definitionsand concepts which are significant to multi-objective optimization; after whichfollows the literature review, objectives and scope, and organization of thethesis.

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