Research on Equidistant Curves of General Scroll Profiles for Scroll Vacuum Pump Based on Envelope Principle

China Mechanical Engineering ›› 2011, Vol. 22 ›› Issue (4): 412-415.

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Research on Equidistant Curves of General Scroll Profiles for Scroll Vacuum Pump Based on Envelope Principle

Wang Licun1,2;Chen Jin3;Wang Xudong1;Zhang Xianming1;Chen Bin1

1.Engineering Research Center for Waste Oil Recovery Technology and Equipment of Ministry of Education,Chongqing Technology and Business University,Chongqing,400067

2.National Engineering Reseach Center of Fluid Machinery and Compressor,Xi'an Jiaotong University,Xi'an,710049

3.State Key Lab of Mechanical Transmission,Chongqing University,Chongqing,400030

Online:2011-02-25 Published:2011-03-15
Supported by:

National Natural Science Foundation of China（No. 50805149）;

Supported by China Postdoctoral Science Foundation（No. 20090450166，201003669）;
Key Technology R&D Program of Chongqing（No. CSTC，2009AB3234）

基基于包络原理的涡旋式滤油机真空泵通用涡旋型线等距曲线研究

王立存1,2;陈进3;王旭东1;张贤明1;陈彬1

1.重庆工商大学废油资源化技术与装备教育部工程研究中心,重庆,400067

2.西安交通大学流体机械及压缩机国家工程研究中心,西安,710049

3.重庆大学机械传动国家重点实验室,重庆,400030

基金资助:
国家自然科学基金资助项目(50805149)；中国博士后科学基金资助项目(20090450166，201003669)；重庆高校创新团队项目(KJTD201019)；重庆市科技攻关重点项目(CSTC，2009AB3234)
National Natural Science Foundation of China（No. 50805149）;

Supported by China Postdoctoral Science Foundation（No. 20090450166，201003669）;
Key Technology R&D Program of Chongqing（No. CSTC，2009AB3234）

Abstract

Abstract:

For developing new creating ways of scroll profiles for

scroll vacuum pump of oil filter, a theoretical method of creating equidistant curves

was studied. And the abroad applications of this method were analyzed. Using the circle cluster envelope principle, the fundamental formulas of equidistant curve created by plane curve were deduced. Taking the points of the scroll profile as the centre of a circle,

and taking parameter h as the radius,circles

were made and used to construct the circle cluster in the fixed plane. The envelope curve of both sides of the envelope curves were just the two equidistant curves of the scroll profiles. And the correctness and practicability of the method of creating equidistant curves formulas were validated.

Key words:

scroll vacuum pump, scroll profile, general scroll, envelope principle, equidistant curve

摘要：

针对基于泛函的涡旋式滤油机真空泵通用涡旋型线的内外壁型线进行了研究,为拓展通用涡旋型线生成方法,研究了圆族包络法生成等距曲线的理论方法,利用圆族包络原理推导了平面曲线生成等距曲线的基本公式。以基于泛函的通用涡旋型线的内外壁涡旋型线生成为例进行了分析,以涡线型线上的点为圆心,以参数h为半径画圆,在固定平面内构成圆族,该圆族两侧的包络线即为涡旋型线的两条等距曲线。给出的生成示例验证了圆族包络原理在通用涡旋型线生成中的有效性。



关键词:

涡旋式真空泵, 涡旋型线, 通用型线, 包络原理, 等距曲线

CLC Number:

TH45

WANG Li-Cun, CHEN Jin, WANG Xu-Dong, ZHANG Xian-Meng, CHEN Ban.

Research on Equidistant Curves of General Scroll Profiles for Scroll Vacuum Pump Based on Envelope Principle

[J]. China Mechanical Engineering, 2011, 22(4): 412-415.

王立存, 陈进, 王旭东, 张贤明, 陈彬.

基基于包络原理的涡旋式滤油机真空泵通用涡旋型线等距曲线研究

[J]. 中国机械工程, 2011, 22(4): 412-415.

[1]	WANG Li-Cun, CHEN Jin, ZHANG Xian-Meng, CHEN Guo-Jiang. Study on Geometry Theory of Variable Wall Thickness Scroll Profiles and Shape Optimization Based on Functional Theory [J]. J4, 201016, 21(16): 1898-1901.
[2]	WANG Licun, DONG Guanghui, WANG Xudong, AO Wengang, . Structural Design and Dynamic Simulation of a General Profile Electric Scroll Compressor [J]. China Mechanical Engineering, 2017, 28(06): 728-733.
[3]	ZHANG Xian-Meng-1, MAO Ying-1, WANG Li-Cun-1, 2, CHEN Guo-Jiang-1, LI Ping-1, CHEN Ban-1. Optimization Design of General Scroll Based on Multi-objective Genetic Algorithm of NSGA-Ⅱ [J]. China Mechanical Engineering, 2012, 23(13): 1598-1602.
[4]	WANG Li-Cun-1, 2, ZHANG Xian-Meng-1, CHEN Guo-Jiang-1, WANG Xu-Dong-1, LUO Li-Pei-3, CHEN Ban-1. Research on Shape Variation Disciplinarian of Scroll Profiles Based on Functional Theory [J]. China Mechanical Engineering, 2011, 22(16): 1980-1983.
[5]	WANG Li-Cun, CHEN Jin, ZHANG Xian-Meng, CHEN Guo-Jiang. Study on Geometry Theory of Variable Wall Thickness Scroll Profiles and Shape Optimization Based on Functional Theory [J]. China Mechanical Engineering, 2010, 21(16): 1898-1901.
[6]	Wang Licun,;Chen Jin. Study on Parameter Transformation Characteristics and Shape Optimization of General Scroll Profiles [J]. J4, 2008, 19(12): 0-1511.
[7]	Wang Licun,;Chen Jin. A Study of Necessity of Control Equation for General Functional Scroll Profiles [J]. J4, 2008, 19(10): 0-1257.

Research on Equidistant Curves of General Scroll Profiles for Scroll Vacuum Pump Based on Envelope Principle

基基于包络原理的涡旋式滤油机真空泵通用涡旋型线等距曲线研究

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