摘要
在涡旋型线设计研究中,针对单一型线的限制性,提出以泛函理论为基础的新型涡旋型线设计思路,分析了平面曲线的啮合理论,对共轭啮合涡旋型线的解析包络原理进行了研究,得到了通用涡旋型线的共轭啮合特征型线,利用Taylor级数思想,得出通用涡旋型线的新形式,就涡旋型线的压缩行程容积、型线方程、曲率(半径)以及型线长度等基本几何性质,在笛卡尔坐标系下做了较详尽的阐述和推导,得出了坐标、向量和Taylor级数等三种形式下的涡旋型线的完整几何表达形式,目前的通用型线不代表涡旋型线的全部形式,只是特殊情况下的通用型线,为研究基于泛函理论的通用涡旋机械型线设计完整理论奠定了基础。
In the design study of scroll profiles,aiming at the restriction of single profile,new design ideas was proposed,which base on functional theory.Studying conjugation meshing scroll profiles of the general scroll profiles,the meshing theory of planar curve is analyzed and the analysis envelope method to seek conjugation meshing profiles is studied.And we use Taylor series to draw a new expression of scroll profiles.The formation of the compressed volume-based equation,the curvature（radius of curvature） and length-based nature of the basic geometry of scroll profiles has done a more detailed exposition and derivation,in the Cartesian coordinate system.And we get the perfect expression of scroll profiles geometric forms which establish theoretical basis to study the scroll compressor based on function.Simultaneously we also pointed out that the present general line does not represent the general form of the vortex lines,they are just some special situation of general lines.
出处
《流体机械》
CSCD
北大核心
2010年第8期18-21,共4页
Fluid Machinery
基金
国家自然科学基金项目(50805149)
中国博士后科学基金(20090450166)
重庆市教委科技资助项目(KJZH08212)
重庆市科技攻关重点项目(CSTC
2009AB3234)
关键词
涡旋型线
泛函理论
行程容积
几何理论
共轭型线
scrolls
functional theory
volume
geometry theory
conjugation meshing profiles
作者简介
作者简介：张贤明（1955-），男，研究员，院长，主要研究方向为环保装备关键技术，通讯地址：400067重庆市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。
