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輪系運(yùn)動(dòng)分析的構(gòu)件元法
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國(guó)家高技術(shù)研究發(fā)展計(jì)劃(863計(jì)劃)資助項(xiàng)目(2006AA050203)


Kinematic Analysis of Gear Trains Based on Link Units
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    摘要:

    用構(gòu)件元的概念推導(dǎo)了輪系中齒輪與系桿的構(gòu)件元,特別是推導(dǎo)出用齒數(shù)表示的雅可比元,,分析了輪系中的封閉環(huán),,總結(jié)出3種輪系基本封閉環(huán),。通過(guò)引入有效因子,,可用雅可比元按基本封閉環(huán)建立整個(gè)輪系的雅可比矩陣,,求解線(xiàn)性方程組,就得出各構(gòu)件的角速度,。提出的方法無(wú)需區(qū)分基本輪系,,無(wú)需繪制箭頭,具有極強(qiáng)的模塊性,,手工計(jì)算和計(jì)算機(jī)自動(dòng)求解都非常方便,,適用于各類(lèi)復(fù)雜輪系。

    Abstract:

    By applying the notion of link units to the gear trains, the link units, especially the Jacobian units, the gear and planet carrier was gotten. The closed loops about gear train also were analyzed, and three kinds of basic closed loop were summed up. By using the effect factors and according to the basic closed loops, the units could be easily combined together to build Jacobian matrix, that was a linear equations, of whole gear train. After solved the linear equations, the angular velocities of each gears and planet carriers were yielded. It did not need to divide the compound planetary train into basic epicylic and fixed axis gear trains and also did not need to draw the arrows to determine the rotations of each links in the planar trains. It was easy to model the equations with manual hands or automatically model with computer for its modular property. The method could be used for any complex planar gear trains. 

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王成志,許志龍.輪系運(yùn)動(dòng)分析的構(gòu)件元法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2011,42(12):208-214. Wang Chengzhi, Xu Zhilong. Kinematic Analysis of Gear Trains Based on Link Units[J]. Transactions of the Chinese Society for Agricultural Machinery,2011,42(12):208-214.

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  • 在線(xiàn)發(fā)布日期: 2011-12-19
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