通用型线泛函表达拓展及其涡旋盘研究  

An Expansion of Functional Expression in General Profiles and Corresponding Scroll Compressor Plate

作　　者：王立存[1,2] 张国进[2] 王旭东[1] 聂新[2] 朱明 宋李俊[2] 

机构地区：[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,重庆400054 [3]中船重工(重庆)海装风电设备有限公司,重庆401122

出　　处：《中国机械工程》2014年第23期3216-3220,共5页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(51375515);重庆市科技攻关计划资助项目(CSTC2011AC6086);重庆市杰出青年科学基金资助项目(cstc2014jcyjjq0034);重庆市南岸区科技攻关项目(5201110)

摘　　要：为使采用通用涡旋型线的涡旋盘生成过程简单便捷、易于实现,通过级数思想拓展了基于泛函的通用涡旋型线表达式,根据解析几何的向量方法得出共轭动静盘型线的两种不同向量形式,提出了涡旋盘向量生成一般流程以及运用MATLAB计算的具体设计实例。用具有"数"和"形"的向量方法表达动静型线及其啮合关系,既可以通过数值运算来控制涡旋型线的形状,又能几何直观地说明型线啮合原理及过程。得出的泛函拓展表达式不仅涵盖通用涡旋型线所有类别,还能避免传统方法计算的复杂性,有助于进一步系数优化选取研究。To make the generation process of scroll compressor plate based on general profiles more simple and easy to implement,the general scroll profile equation was expanded through Taylor theory and two different vector forms of conjugating scroll profiles were given according to analytic geometry-vector method,also a generation process in building scroll plate and a specific design using MATLAB were given.Using vector method to study scroll profiles with conjugating relationship can both change shape of scroll profiles through numerical operations and illustrate conjugating theory by its geometrical direct-vision.The expanded general profiles equations integrate all kinds of scroll profiles,and avoid complex traditional operations,which contributes to the research on coefficient optimization.

关 键 词：通用型线 泛函表达 数值运算 向量生成 

分 类 号：TH45[机械工程—机械制造及自动化]