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基于正交標(biāo)架矢量函數(shù)的渦旋機(jī)械集成型線研究
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Profile for Scroll Fluid Machine Based on Vector Function of Orthogonal Frame
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    摘要:

    基于正交標(biāo)架矢量函數(shù)理論,,建立了滿足條件的型線方程矢量函數(shù)通用表達(dá)式,。深入研究了渦旋型線的嚙合條件,,闡述了構(gòu)成渦旋型線所必須滿足的基本嚙合條件,。從型線的笛卡爾坐標(biāo)方程出發(fā),,以切向角函數(shù)集成形式表示曲率半徑,推導(dǎo)出了曲率半徑函數(shù)表示的型線微分方程,。以4種典型型線為例,,確定了曲率半徑函數(shù)系數(shù)與廣義展成半徑和廣義基圓半徑之間的對應(yīng)關(guān)系。示例給出了正三角形漸開線型線的曲率半徑函數(shù)微分方程,。以切向角函數(shù)表示的渦旋集成型線不但能涵蓋現(xiàn)有型線種類,,而且通過對切向角級數(shù)系數(shù)的優(yōu)化和控制可構(gòu)造性能更為優(yōu)良的型線類型。

    Abstract:

    Based on the theory of orthogonal frame, a general equation in form of vector function was established for scroll profile. Engagement condition of meshed profiles was derived. According to the parameter equation of Cartesian coordinate, the function of curvature radius could be expressed by integration of tangential angle. Curvature radius function based on differential equation of profile was deduced. Furthermore, demonstrated by four typical profiles, the corresponding relation among radius of curvature, general generating radius and general basic radius was determined. The differential equation for the involute of a regular triangle was demonstrated in form of function of radius of curvature. The integration profile could not only cover the existed profiles, but also be used to optimize properties of these profiles by controlling coefficients of series of tangential angles. The conclusions could be applied in flexible design of scroll fluid machine. 

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劉濤,芮執(zhí)元,鄔再新,胡赤兵.基于正交標(biāo)架矢量函數(shù)的渦旋機(jī)械集成型線研究[J].農(nóng)業(yè)機(jī)械學(xué)報,2010,41(5):209-212. Profile for Scroll Fluid Machine Based on Vector Function of Orthogonal Frame[J]. Transactions of the Chinese Society for Agricultural Machinery,2010,41(5):209-212.

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