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.
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This paper was recommended for publication in revised form by Associate Editor Hong Hee Yoo
Chan IL Park, who received a B.S., an M.S., and a Ph.D. in mechanical engineering at Seoul National University, worked at Hyundai Motor Company for eight years. He has held positions as a post-doc. at the University of Michigan in Ann Arbor for one year, a visiting scholar at the Georgia Tech. for one year and Ohio State University, and a dean of the College of Engineering at Kangnung National University for two years. He is a professor in the precision mechanical engineering at Gangneung-wonju National University. His research interests are gear dynamics, plate, shell, optimal design, and acoustics.
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Park, C.I. Multi-objective optimization of the tooth surface in helical gears using design of experiment and the response surface method. J Mech Sci Technol 24, 823–829 (2010). https://doi.org/10.1007/s12206-010-0117-x
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DOI: https://doi.org/10.1007/s12206-010-0117-x