封闭式行星轮系功率流判别的键合图法
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摘要
为更简单清晰地对封闭式行星轮系的功率流情况进行判别,利用键合图能量守恒和功率流动的特点,将键合图理论应用于该类轮系的功率流分析中.以功率汇流型、回流型2种形式的封闭式行星轮系为例,根据轮系的传动关系,利用绝对速度法建立轮系的键合图模型,根据提出的功率流向判别依据对轮系进行功率流向判别,得到整个轮系及其转换机构的功率流情况,为轮系的效率计算提供了基础.该方法适用于其它复杂轮系的功率流判别中,比传统方法更具直观性、系统性.
In order to distinguish the power flow of the closed planetary gear train more simply and clearly,the theory of bond graph was applied for the analysis of power flow of the gear train utilizing the characteristic of conversation of energy and power fluxion of bond graph.Taking the power regurgitant and confluence style of the gear trains for examples,the bond graph model of the gear trains was established according to the transmission relationships and the method of absolute speed.And then the power flow of the gear trains,as well as the conversion mechanism,was got after distinguishing the power flow basing on the discriminant,which provides the foundation for the efficiency computing.This method which is more intuitionistic and systematic than the traditional methods could be applied in the power flow judgement of other complex gear trains.
In order to distinguish the power flow of the closed planetary gear train more simply and clearly,the theory of bond graph was applied for the analysis of power flow of the gear train utilizing the characteristic of conversation of energy and power fluxion of bond graph.Taking the power regurgitant and confluence style of the gear trains for examples,the bond graph model of the gear trains was established according to the transmission relationships and the method of absolute speed.And then the power flow of the gear trains,as well as the conversion mechanism,was got after distinguishing the power flow basing on the discriminant,which provides the foundation for the efficiency computing.This method which is more intuitionistic and systematic than the traditional methods could be applied in the power flow judgement of other complex gear trains.
引文
[1]董万福,吴斌,段钦华.封闭式行星轮系的结构与功率流研究[J].机械设计与研究,2007,23(3):82-83Dong Wanfu,Wu Bin,Duan Qinhua.Structure and power flowresearch of the closed planetary[J].Machine Design and Re-search,2007,23(3):82-83(in Chinese)
[2]杨端光.封闭式周转轮系的传动效率计算[J].机械设计与制造,2008,5:23-25Yang Duanguang.Transmission efficiency calculation of closedepicyclic gear trains[J].Machinery Design&Manufacture,2008,5:23-25(in Chinese)
[3]卢存光,段钦华.封闭式行星轮系中功率流的图解法[J].机械传动,2007,31(6):76-77Lu Cunguang,Duan Qinhua.Graphical method of power flow ofthe closed planetary gear train[J].Machinery Transmission,2007,31(6):76-77(in Chinese)
[4]桂乃磐,罗佑新,何哲民.扩张特性图在封闭差动轮系分析中的应用[J].机械传动,2008,32(4):60-62Gui Naipan,Luo Youxin,He Zhemin.The application of expan-sive characteristic diagram to the analysis of planetary differential[J].Machinery Transmission,2008,32(4):60-62(in Chi-nese)
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[7]Borutzky W.Bond graph model-based fault detection using resid-ual sinks[J].Journal of Systems and Control Engineering,2009,223(3):337-352
[8]Medjaher K,Samantaray A K,Bouamama B O.Bond graph modelof a vertical U-tube steam condenser coupled with a heat ex-changer[J].Simulation Modelling Practice and Theory,2009,17(1):228-239
[9]许沧粟,黄承修,郦光明.键合图理论在发动机电流变液力悬置中的应用[J].机械工程学报,2006,42(5):219-223Xu Cangsu,Huang Chengxiu,Li Guangming.Application bondgraph theory in electrorheological fluid engine mount[J].Chi-nese Journal of Mechanical Engineering,2006,42(5):219-223(in Chinese)
[10]唐进元,陈海锋,王祁波.考虑间隙与摩擦时的齿轮传动动力学键合图建模研究[J].机械工程学报,2011,47(9):53-59Tang Jinyuan,Chen Haifeng,Wang Qibo.Dynamics model ofgear transmission with combined friction and clearance by usingbond graph method[J].Chinese Journal of Mechanical Engi-neering,2011,47(9):53-59(in Chinese)
[11]王艾伦,刘云.复杂机电系统动力学相似分析的键合图法[J].机械工程学报,2010,46(1):74-78Wang Ailun,Liu Yun.Bond graph method for the dynamic simi-larity analysis of complex electromechanical system[J].ChineseJournal of Mechanical Engineering,2010,46(1):74-78(in Chinese)
[12]王中双.键合图理论及其在系统动力学中的应用[M].哈尔滨:哈尔滨工程大学出版社,2007Wang Zhongshuang.Bong graph theory and its application indynamic systems[M].Harbin:Harbin Engineering UniversityPress,2007(in Chinese)
[2]杨端光.封闭式周转轮系的传动效率计算[J].机械设计与制造,2008,5:23-25Yang Duanguang.Transmission efficiency calculation of closedepicyclic gear trains[J].Machinery Design&Manufacture,2008,5:23-25(in Chinese)
[3]卢存光,段钦华.封闭式行星轮系中功率流的图解法[J].机械传动,2007,31(6):76-77Lu Cunguang,Duan Qinhua.Graphical method of power flow ofthe closed planetary gear train[J].Machinery Transmission,2007,31(6):76-77(in Chinese)
[4]桂乃磐,罗佑新,何哲民.扩张特性图在封闭差动轮系分析中的应用[J].机械传动,2008,32(4):60-62Gui Naipan,Luo Youxin,He Zhemin.The application of expan-sive characteristic diagram to the analysis of planetary differential[J].Machinery Transmission,2008,32(4):60-62(in Chi-nese)
[5]Paynter H M.Analysis and design of engineering system[M].Cambridges:MIT Press,1961
[6]Kamopp D C,Margolis D L,Rosenberg R C.System dynamics:aunified approach[M].New York:Wiley,1990
[7]Borutzky W.Bond graph model-based fault detection using resid-ual sinks[J].Journal of Systems and Control Engineering,2009,223(3):337-352
[8]Medjaher K,Samantaray A K,Bouamama B O.Bond graph modelof a vertical U-tube steam condenser coupled with a heat ex-changer[J].Simulation Modelling Practice and Theory,2009,17(1):228-239
[9]许沧粟,黄承修,郦光明.键合图理论在发动机电流变液力悬置中的应用[J].机械工程学报,2006,42(5):219-223Xu Cangsu,Huang Chengxiu,Li Guangming.Application bondgraph theory in electrorheological fluid engine mount[J].Chi-nese Journal of Mechanical Engineering,2006,42(5):219-223(in Chinese)
[10]唐进元,陈海锋,王祁波.考虑间隙与摩擦时的齿轮传动动力学键合图建模研究[J].机械工程学报,2011,47(9):53-59Tang Jinyuan,Chen Haifeng,Wang Qibo.Dynamics model ofgear transmission with combined friction and clearance by usingbond graph method[J].Chinese Journal of Mechanical Engi-neering,2011,47(9):53-59(in Chinese)
[11]王艾伦,刘云.复杂机电系统动力学相似分析的键合图法[J].机械工程学报,2010,46(1):74-78Wang Ailun,Liu Yun.Bond graph method for the dynamic simi-larity analysis of complex electromechanical system[J].ChineseJournal of Mechanical Engineering,2010,46(1):74-78(in Chinese)
[12]王中双.键合图理论及其在系统动力学中的应用[M].哈尔滨:哈尔滨工程大学出版社,2007Wang Zhongshuang.Bong graph theory and its application indynamic systems[M].Harbin:Harbin Engineering UniversityPress,2007(in Chinese)