The sealing performance of the rubber packer is of vital importance for subsea retractable connectors,and the cross-sectional shape of the rubber packer is one of the most important factors affecting the sealing performance of the rubber packer.Generally,the constraints on the upper end and the lower end of the rubber packer are not the same,and in terms of sealing performance,the contact pressure at the upper end of the rubber packer is greater,and the structural parameters of the rubber packer influence each other.Therefore,a two-dimensional numerical model that comprehensively considers the thickness of the upper end of the rubber packer and the chamfer angle was established,the stress on the inner side of the casing was the optimization target,and the anti-shoulder mutation amount was introduced as a constraint to prevent the occurrence of shoulder protrusion.Using the response surface methodology combined with the multi-objective genetic algorithm,the thickness and angle of the end face of the rubber packer were optimized.The results show that,in the finite element simulation,the amount of anti-shoulder mutation can effectively reflect the shoulder protrusion of the rubber packer,and in the optimization process,the amount of anti-shoulder mutation is added as a constraint,which can avoid obtaining the structural parameter value of the rubber packer that produces shoulder protrusion.The cross-sectional structure of the rubber packer with the thickness of the upper end larger than that of the lower end was obtained through optimization,and its sealing performance was more advantageous than the traditional cross-sectional structure.The proposed asymmetric cross-sectional shape of the rubber packer has important theoretical significance for the study of similar seals.