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Multi-objective optimization of the tooth surface in helical gears using design of experiment and the response surface method
Chan IL Park
The Journal of Mechanical Science and Technology, vol. 24, no. 3, pp.823-829, 2010
Abstract : The design of tooth surface for low gear noise under various load conditions is very important, and gear noise is highly related to
transmission error. Optimal tooth surface for reduction of transmission error is very difficult to analytically determine due to nonlinearity
of transmission error and the need to satisfy multiple load conditions. Satisfying design variables in multiple load conditions leads to the
Pareto optimum of multi-objective optimization. There, the method to determine optimal lead curve and robust tooth surface design is
proposed, using the response surface method and multi-objective optimization. The effect of transmission error on the candidate design
variables by a screening experiment has been investigated using analysis of variance. Design variables are likewise selected. The fitted
regression model of transmission error is built with the statistic validation of the representation. The model with constraints is solved to
obtain optimum lead curve design and robust design for the tooth surface under multiple loads.
Keyword : Transmission error; Helical gear; Design of experiment; Response surface method; Multi-objective optimization |
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