基于向量方法的通用涡旋型线生成研究

王立存; 张国进; 王旭东; 聂新; 张贤明

doi:10.13433/j.cnki.1003-8728.2015.0712

基于向量方法的通用涡旋型线生成研究

doi: 10.13433/j.cnki.1003-8728.2015.0712

王立存^1,3,
张国进^1,2,
王旭东^1,3,
聂新^1,2,
张贤明¹

1.
重庆工商大学制造装备机构设计与控制重庆市重点实验室, 重庆 400067;
2.
重庆理工大学机械工程学院, 重庆 400054;
3.
装备系统服役健康保障重庆市国际联合研究中心, 重庆 400067

基金项目:

国家自然科学基金项目（51375515）、重庆市科技攻关计划项目（CSTC2011AC6086）及制造装备机构设计与控制重庆市重点实验室开放基金项目（1456034）资助

详细信息

作者简介:
王立存（1978-），教授，博士，研究方向为涡旋压缩机设计理论、机械系统多学科协同优化技术和新能源汽车空调及制冷关键技术，wanglicun@163.com

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- 文章访问数: 131
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- 被引次数: 0
出版历程
- 收稿日期: 2013-10-18
- 刊出日期: 2015-07-05

Generation of General Scroll Profiles Based on Vector Method

1.
Chongqing Key Lab of Manufacturing Equipment Mechanism Design and Control, Chongqing Technology and Business University, Chongqing 400067, China;
2.
College of Mechanical Engineering, Chongqing University of Technology, Chongqing 400054, China;
3.
Chongqing Research Center of System Health Maintenance, Chongqing Technology and Business University, Chongqing 400067, China

摘要

摘要: 以向量计算作为研究工具，针对单一型线设计不利于实际多性能需求的柔性化设计，利用Taylor级数思想和微分几何理论推导出基于泛函的通用涡旋型线方程。通过平面曲线啮合理论和泛函通用型线方程，得出型线向量在其啮合点处的法线和切线方向分解后的向量大小的关系，并证明其沿啮合点法线方向分解的向量大小可以用泛函通用型线方程表示。这种向量表示方法在型线生成时省去求积分的繁琐，有助于系数变化时生成的型线特性的研究。用向量计算的方式推导出涡旋型线啮合条件，便于在MATLAB上生成涡旋型线及共轭型线，因为向量矩阵的表示在运算中更符合MATLAB的计算规则，加快了运算速度，有助于通用涡旋型线的研究设计。
- 向量方法 /
- 通用涡旋型线 /
- 向量表征 /
- 啮合型线
Abstract: Using vector method as a research tool, aiming at the restriction of single profile, we gave the general scroll profiles equations based on functional expression with Taylor series and differential geometry theories. Through planar curve meshing theory and general scroll profiles equations, we proved the department vector size relationship between normal and tangent direction of scroll profile at its meshing point, also its normal vector size can be expressed by general scroll profiles equation. In creating of scroll profiles, this vector expression saves hassle of quadrature by coefficient changes. Derive the conjugation meshing condition with vector method is easy to create scroll profiles and conjugated profiles based on the MATLAB, since vector method is in line with the calculation ruled of MATLAB, which can speed up the calculations, contribute to research on the designing of profiles of the scroll compressors.
- calculations /
- compressors /
- geometry /
- mathematical models

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参考文献(12)

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