新型变截面涡旋型线的多目标遗传算法优化

Multi-objective Genetic Algorithm Optimization of A New Variable Cross-Section Scroll Profile

利用基圆渐开线和幂级数形式的高次曲线构造一种新型的变截面型线,并针对目前变截面型线优化设计中只以容积性能为优化目标而未考虑型线力学性能这一缺点,提出综合考虑容积性能和力学性能的多目标优化设计方法。将容积性能中的重要指标——压缩比和力学性能中的关键指标——轴向气体力和切向气体力作为优化目标,利用遗传算法对其进行多目标优化。结果表明:优化后的两大指标较优化前均有显著变化,压缩比提高了11.3%,轴向气体力和切向气体力明显降低,尤其是切向气体力降低的幅度较大,最大轴向力和最大切向力分别减少了2.11%和22.71%,表明提出的优化方法可以获得综合性能较优的变截面型线。

A new type of variable section profile was constructed via using the base circle involute and the higher-order curve in the form of power series.In view of the shortcoming that the volume performance is only the optimization target in the current optimization design of variable cross-section profile,and the mechanical performance of the profile is not considered,a multi-objective optimization design method considering the volume performance and mechanical performance was proposed.The compression ratio,an important index in volume performance,and the axial gas force and tangential gas force,which are key indexes of mechanical performancee,were taken as the optimization targets,and the multi-objective optimization was carried out by using genetic algorithm.The results show that after optimization,the two indexesare significantly changed compared with those before optimization,the compression ratio is increased by 11.3%,and the axial gas force and tangential gas force are significantly reduced,especially the tangential gas force is greatly reduced,and the maximum axial force and maximum tangential force are reduced by 2.11%and 22.71%respectively.It shows that the proposed optimization method can obtain variable cross-section profiles with better comprehensive performance.