刘 涛,邬再新,芮执元.基于Frenet标架的涡旋始端型线重构与几何特性分析[J].农业机械学报,2011,42(2):197-202.
Liu Tao,Wu Zaixin,Rui Zhiyuan.Reconstruction and Geometrical Property of Top Scroll Profile Based on Frenet Frame[J].Transactions of the Chinese Society for Agricultural Machinery,2011,42(2):197-202.
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基于Frenet标架的涡旋始端型线重构与几何特性分析   [下载全文]
Reconstruction and Geometrical Property of Top Scroll Profile Based on Frenet Frame   [Download Pdf][in English]
  
DOI:10.3969/j.issn.1000-1298.[year].[issue].[sequence]
中文关键词:  涡旋型线,曲率半径,Frenet标架,重构,几何特性
基金项目:国家自然科学基金资助项目(50965011)和甘肃省自然科学基金资助项目(0710RJZA061、1014RJZA025)
作者单位
刘 涛 兰州理工大学 
邬再新 兰州理工大学 
芮执元 兰州理工大学 
中文摘要:针对当前型线研究中尚未建立表征修正型线和主体型线固有特性统一模型的问题,建立了基于Frenet标架曲率半径函数的涡旋型线通用方程,分别采用零次曲线和一次曲线对涡旋始端型线进行重构。定量分析了型线参数对涡旋始端齿厚的影响,构建了基于母线曲率半径函数方程的涡旋压缩腔面积几何模型,研究了曲率半径函数参数对面积特性的影响。结果表明:以曲率半径函数构成涡旋母线的连续性方程,在设计阶段即能得到完全啮合型线和完整涡旋齿廓,无需再进行齿端修正;一次曲线重构较大的设计自由度可以使其兼顾涡旋端部齿厚和内容积比要求,获得较零次曲线重构综合性能更为优越的涡旋齿。
Liu Tao  Wu Zaixin  Rui Zhiyuan
Lanzhou University of Technology;Lanzhou University of Technology;Lanzhou University of Technology
Key Words:Scroll profile, Radius of curvature, Frenet frame, Reconstruction, Geometrical property
Abstract:According to the situation that there is no general model to express both main profile and modified top profile, a general integration equation expressed in tangential angle series was established for scroll profile. The start part of profile was reconstructed with zeroth-order curve and first order curve, respectively. The influence of parameters of top profile on thickness of scroll tooth was analyzed quantitatively. Furthermore, the geometrical models of area of compression chamber were set up based on curvature radius function of base line. The effect of curvature radius parameters on area property was explored. This study showed that first-order curve construction of top scroll could achieve higher performance by improving volume ratio while maintain reasonable tooth strength. With continuity equation of scroll baseline in form of radius of curvature, a fully meshed profile and complete tooth profile could be obtained in the stage of machine design, so that there was no need to modify top scroll in later stages. The results could be applied in the scroll profile design.

Transactions of the Chinese Society for Agriculture Machinery (CSAM), in charged of China Association for Science and Technology (CAST), sponsored by CSAM and Chinese Academy of Agricultural Mechanization Science(CAAMS), started publication in 1957. It is the earliest interdisciplinary journal in Chinese which combines agricultural and engineering. It always closely grasps the development direction of agriculture engineering disciplines and the published papers represent the highest academic level of agriculture engineering in China. Currently, nearly 8,000 papers have been already published. There are around 3,000 papers contributed to the journal each year, but only around 600 of them will be accepted. Transactions of CSAM focuses on a wide range of agricultural machinery, irrigation, electronics, robotics, agro-products engineering, biological energy, agricultural structures and environment and more. Subjects in Transactions of the CSAM have been embodied by many internationally well-known index systems, such as: EI Compendex, CA, CSA, etc.

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