传力性能最佳的有急回曲柄摇杆机构的设计
|
摘要
分析了Ⅰ型曲柄摇杆机构极位夹角的可能取值:零度、锐角、直角和钝角,推导出上述各情况下杆长间的关系式。建立了最小传动角γ_(min)与曲柄固定铰链中心A的位置角准和极位夹角θ的数理关系,对A点位置角准的可行域和极位夹角θ的最大值给出了量化描述。以Mathematica为工具,开发了曲柄摇杆机构设计系统,绘制出γ_(min)-θ-准的三维曲面图。根据该图能迅速直观地获得最小传动角γ_(min)为最大的曲柄固定铰链中心A的位置,快速完成传力性能最佳的具有急回特性的曲柄摇杆机构的尺度设计。
The possible values of extreme position angle forⅠtype crank-rocker mechanism are analyzed,that is the zero angle,acute angle,right angle and the obtuse angle. For the above cases,the relations on the bar length are derived. The mathematical relations between the minimum transmission angle γminand the position angle γ_(min) of the crank's fixed hinge center A and the extreme position angle θ is established. A quantitative description for the feasible region of the position angle γ_(min) and the maximum value of the extreme position angle θ is provided. Using Mathematica as a tool,the crank rocker mechanism design system is developed,three-dimensional surface charts of γmin-θ-γ_(min) are drown. Which can obtain the crank's position angle γ_(min) corresponding to the maximum of the minimum transmission angle γminquickly and directly,can finish the dimensional design of crank-rocker mechanism with the optimum transmission performance and the Quick-Return characteristics.
The possible values of extreme position angle forⅠtype crank-rocker mechanism are analyzed,that is the zero angle,acute angle,right angle and the obtuse angle. For the above cases,the relations on the bar length are derived. The mathematical relations between the minimum transmission angle γminand the position angle γ_(min) of the crank's fixed hinge center A and the extreme position angle θ is established. A quantitative description for the feasible region of the position angle γ_(min) and the maximum value of the extreme position angle θ is provided. Using Mathematica as a tool,the crank rocker mechanism design system is developed,three-dimensional surface charts of γmin-θ-γ_(min) are drown. Which can obtain the crank's position angle γ_(min) corresponding to the maximum of the minimum transmission angle γminquickly and directly,can finish the dimensional design of crank-rocker mechanism with the optimum transmission performance and the Quick-Return characteristics.
引文
[1]冀晓红.按最佳传动性能设计曲柄摇杆机构[J].机械设计与制造,2009(6):83-84.(Ji Xiao-hong.Designing the plane-rocker mechanism by the optimum drive angle[J].Machinery Design&Manufacture,2009(6):83-84.)
[2]储宁启.曲柄摇杆机构在给定速比系数时最小传动角的可能最大值[J].机械设计,2004,21(8):52-53.(Chu Ning-qi.The crank-rocker mechanism in a given ratio of the minimum transmission angle coefficient maximum value[J].Journal of Machine Design,2004,21(8):52-53.)
[3]郭卫东.机械原理(第二版)[M].北京:科学出版社,2013.(Guo Wei-dong.Theory of Machines and Mechanisms(Second Edition)[M].Beijing:Science Press,2013.)
[4]苏有良.按最小传动角最大的曲柄摇杆机构优化设计[J].机械设计,2014,31(6):29-33.(Su You-liang.Optimization design of crank rocker mechanism based on maximum of minimum transmission angle[J].Journal of Machine Design,2014,31(6):29-33.)
[5]陈海文,王忠,赵斐.基于最小传动角最大的曲柄摇杆机构设计方法[J].机械传动,2015,39(6):131-134.(Chen Hai-wen,Wang Zhong,Zhao Fei.Design method of crank-rocker mechanism based on maximum value of minimum transmission angle[J].Mechanical Drive,2015,39(6):131-134.)
[6]于潇雁,蓝兆辉.具有急回特性的曲柄摇杆机构的综合新探[J].机械设计与研究,2007,23(6):43-45.(Yu Xiao-yan,Lan Zhao-hui.New discussion on the synthesis of crankrocker mechanisms with quick return characteristics[J].Mechanical Design and Research,2007,23(6):43-45.)
[7]苏慧.曲柄摇杆机构设计研究[D].保定:华北电力大学,2011:18-21.(Su Hui.Research on the design of crank-rocker mechanism[D].Baoding:North China Electric Power University,2011:18-21.)
[8]任国霞,李宏利,魏蕾.利用Mathematica绘制函数及数据图形[J].现代电子技术,2007(18):135-136.(Ren Guo-xia,Li Hong-li,Wei Lei.Drawing the graphs of functions and data using mathematica[J].Modern Electronic Technology,2007(18):135-136.)
[9]杨爱民,刘春凤,屈静国.大学数学实验[M].北京:科学出版社,2012.(Yang Ai-min,Liu Chun-feng,Qu Jing-guo.Experiment of University Mathematics[M].Beijing:Science Press,2012.)
[10]冯立艳.机械原理[M].北京:机械工业出版社,2012.(Feng Li-yan.Theory of Machines and Mechanisms[M].Beijing:Mechanical Industry Press,2012.)
[2]储宁启.曲柄摇杆机构在给定速比系数时最小传动角的可能最大值[J].机械设计,2004,21(8):52-53.(Chu Ning-qi.The crank-rocker mechanism in a given ratio of the minimum transmission angle coefficient maximum value[J].Journal of Machine Design,2004,21(8):52-53.)
[3]郭卫东.机械原理(第二版)[M].北京:科学出版社,2013.(Guo Wei-dong.Theory of Machines and Mechanisms(Second Edition)[M].Beijing:Science Press,2013.)
[4]苏有良.按最小传动角最大的曲柄摇杆机构优化设计[J].机械设计,2014,31(6):29-33.(Su You-liang.Optimization design of crank rocker mechanism based on maximum of minimum transmission angle[J].Journal of Machine Design,2014,31(6):29-33.)
[5]陈海文,王忠,赵斐.基于最小传动角最大的曲柄摇杆机构设计方法[J].机械传动,2015,39(6):131-134.(Chen Hai-wen,Wang Zhong,Zhao Fei.Design method of crank-rocker mechanism based on maximum value of minimum transmission angle[J].Mechanical Drive,2015,39(6):131-134.)
[6]于潇雁,蓝兆辉.具有急回特性的曲柄摇杆机构的综合新探[J].机械设计与研究,2007,23(6):43-45.(Yu Xiao-yan,Lan Zhao-hui.New discussion on the synthesis of crankrocker mechanisms with quick return characteristics[J].Mechanical Design and Research,2007,23(6):43-45.)
[7]苏慧.曲柄摇杆机构设计研究[D].保定:华北电力大学,2011:18-21.(Su Hui.Research on the design of crank-rocker mechanism[D].Baoding:North China Electric Power University,2011:18-21.)
[8]任国霞,李宏利,魏蕾.利用Mathematica绘制函数及数据图形[J].现代电子技术,2007(18):135-136.(Ren Guo-xia,Li Hong-li,Wei Lei.Drawing the graphs of functions and data using mathematica[J].Modern Electronic Technology,2007(18):135-136.)
[9]杨爱民,刘春凤,屈静国.大学数学实验[M].北京:科学出版社,2012.(Yang Ai-min,Liu Chun-feng,Qu Jing-guo.Experiment of University Mathematics[M].Beijing:Science Press,2012.)
[10]冯立艳.机械原理[M].北京:机械工业出版社,2012.(Feng Li-yan.Theory of Machines and Mechanisms[M].Beijing:Mechanical Industry Press,2012.)