偏心轮推杆行星传动的参数优化及其软件设计
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摘要
内齿圈是偏心轮推杆行星传动机构的关键部件.为了降低机构的质量,并提高其传动性能,需对其机构的系统特征参数进行优化.本文将内齿圈体积的最小值作为目标函数,以顶切限制、强度限制、最佳受力条件等作为约束条件建立数学模型,并使用C#编程语言,采用外点惩罚函数法设计出了一款专门用于其参数优化计算的软件.最后通过软件进行了实例计算.从计算的结果可以看出偏心距e,内、外滚柱半径R1、推杆长度L尺寸都有所减小,且内齿圈的体积有很大程度的降低,从113 298.4 mm~3降为36 682.52 mm~3.因此,该优化方法达到了优化的目的,且使该传动机构的结构更加紧凑了.
The ring gear is the key part of eccentric wheel handspike planetary transmission mechanism.To reduce the quality of the mechanism and improve it's transmission performance,the system parameters' optimization of the mechanism is necessary.A mathematical model for optimal design,whose objective function is the minimum volume of ring gear and constraint conditions are end cutting limit,the strength limit and the best stress condition,has been setted up.Based on C# programming language,a software which adopted outer point penalty function method and dedicated to parameter optimization calculation was designed.At last,an example calculation has been done through the software.As can be seen from the calculation results that the size of eccentricity e,internal and external roller radius R1 and push rod length L were reduced,and the volume of ring gear had greatly reduced which fells from 113 298.4 mm~3 to 36 682.52 mm~3.So the optimized method has been achieved the goal of the optimization,and the transmission mechanism of the structure is more compact.
The ring gear is the key part of eccentric wheel handspike planetary transmission mechanism.To reduce the quality of the mechanism and improve it's transmission performance,the system parameters' optimization of the mechanism is necessary.A mathematical model for optimal design,whose objective function is the minimum volume of ring gear and constraint conditions are end cutting limit,the strength limit and the best stress condition,has been setted up.Based on C# programming language,a software which adopted outer point penalty function method and dedicated to parameter optimization calculation was designed.At last,an example calculation has been done through the software.As can be seen from the calculation results that the size of eccentricity e,internal and external roller radius R1 and push rod length L were reduced,and the volume of ring gear had greatly reduced which fells from 113 298.4 mm~3 to 36 682.52 mm~3.So the optimized method has been achieved the goal of the optimization,and the transmission mechanism of the structure is more compact.
引文
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[14]徐芝纶.弹性力学[M].北京:高等教育出版社,1982.
[2]周有强.套筒活齿少齿差传动装置[P].中国专利:CN8720-9455,1988-02-17.
[3]李瑰贤,杨伟君,顾晓华.滚柱活齿传动受力分析的研究[J].机械设计,2002,20(1):18-20.
[4]曲继方.摆动活齿减速机[P].中国专利:CN90222527,1991-04-24.
[5]陈兵奎.凸轮活齿行星传动装置[P].中国专利:CN9911472-9,1999-09-08.
[6]陶栋材.偏心轮推杆行星传动设计理论[M].北京:机械工业出版社,2010.
[7]李勇进,刘金伟,刘刚.活齿传动分类方法及结构改进新思路的探索[J].机械,2007,34(9):70-73.
[8]陶栋材,高英武,全腊珍,等.偏心轮推杆行星传动的传动原理研究[J].湖南农业大学学报(自然科学版),2000,26(4):314-317.
[9]陶栋材,卢月娥,尹红,等.偏心轮推杆行星传动内齿圈及其结构特性研究[J].农业工程学报,2000,16(6):18-21.
[10]李瑰贤,杨伟君,顾晓华.滚柱活齿传动的啮合理论及齿廓接触数值仿真[J].哈尔滨理工大学学报,2001,6(4):28-31.
[11]曲继方.活齿传动理论[M].北京:机械工业出版社,1993.
[12]阳林,吴黎明,李定华.推杆活齿减速机系统特征参数优化与CAD/CAM[J].机电工程,1998(3):9-12.
[13]段海燕.偏心轮推杆行星传动优化设计及动力学仿真研究[D].长沙:湖南农业大学,2010.
[14]徐芝纶.弹性力学[M].北京:高等教育出版社,1982.