Ⅲ组合型线变截面涡旋齿的参数分析和优化

兰州理工大学学报 ›› 2023, Vol. 49 ›› Issue (6): 50-56.

Ⅲ组合型线变截面涡旋齿的参数分析和优化

彭斌^*, 陶耀辉, 刘慧鑫

兰州理工大学机电工程学院, 甘肃兰州 730050

收稿日期:2022-04-18 出版日期:2023-12-28 发布日期:2024-01-05
通讯作者: 彭斌(1976-),男,新疆伊宁人,博士,教授.Email:pengb2000@163.com
基金资助:
国家自然科学基金(51675254,51966009),国家重点研发计划“科技助力经济2020”重点专项(SQ2020YFF0420989),兰州市人才创新创业项目(2020-RC-23),甘肃省科技计划项目(20YF8GA057)

Parameters analysis and optimization of Ⅲ combined profile variable wall thickness scroll tooth

PENG Bin, TAO Yaohui, LIU Huixin

School of Mechanical and Electrical Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2022-04-18 Online:2023-12-28 Published:2024-01-05

摘要/Abstract

摘要： 为研究型线参数对变截面涡旋齿几何性能的影响,以Ⅲ组合型线变截面涡旋齿的型线面积、占积比和行程容积为对象建立相应的数学模型,得到型线参数与研究对象的关系.利用NSGA-Ⅱ算法,以占积比和行程容积为优化目标进行多目标优化设计,得到了相关型线参数的Pareto最优解集,并将优化后涡旋盘与优化前涡旋盘在几何性能和力学性能方面进行对比.结果表明,通过NSGA-Ⅱ算法优化可以有效改善变截面涡旋齿的几何性能,但不利于变截面涡旋盘的力学性能改善.研究结果为Ⅲ组合型线变截面涡旋齿设计时型线参数的选取提供了参考.

关键词: Ⅲ变截面涡旋齿, 几何性能, NSGA-Ⅱ算法, 多目标优化设计

Abstract: In order to study the influence of the profile parameters on the geometric performance of the variable cross-section scroll tooth, mathematical models were established for the profile area, occupancy ratio, and suction volume of III combined profile variable wall thickness scroll tooth, the relationship between the profile parameters and which are obtained. Utilizing algorithm NSGA-Ⅱ, the multi-objective optimization design is carried out with the occupancy ratio and the stroke volume as the optimization objectives, resulting in a Pareto optimal solution set of the relevant profile parameters. Subsequently, a comparative analysis is conducted between the optimized scroll tooth and unoptimized ones in terms of their geometric and mechanical performance.The result show that geometrical performance of the variable wall thickness scroll tooth is improved effectively through optimization of algorithm NSGA-Ⅱ but it is not conducive to enhancing the mechanical performance. The research results can provide valuable insights into the selection of the profile parameters in the design of the Ⅲ combined profile variable wall thickness scroll tooth.

Key words: Ⅲ variable wall thickness, geometric performance, NSGA-Ⅱ algorithm, multi-objective optimization design

中图分类号:

TH45

彭斌, 陶耀辉, 刘慧鑫. Ⅲ组合型线变截面涡旋齿的参数分析和优化[J]. 兰州理工大学学报, 2023, 49(6): 50-56.

PENG Bin, TAO Yaohui, LIU Huixin. Parameters analysis and optimization of Ⅲ combined profile variable wall thickness scroll tooth[J]. Journal of Lanzhou University of Technology, 2023, 49(6): 50-56.

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