To reduce the friction of a piston ring while maintaining a large oil film load-carrying capacity,\nan approach comprising of the inverse method and the sequential quadratic programming algorithm was\nproposed. The approach considers the variation of mixed lubrication and variable lubricant viscosity with\ntemperature along the engine stroke, is developed to optimize the profile of a piston ring. A piston ring profile\nis represented by a polynomial function. A case study of the second piston ring shows that the proposed\nmethod can be applied for the optimization of a piston ring profile. In addition, this paper illustrates the effects\nof the degree of a polynomial function. The results show that the minimization of friction and maximization of\noil film load-carrying capacity can be balanced simultaneously when the degree of the polynomial is 2 and 5.
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