基于有限元法的变齿厚内齿轮包络外转子鼓形蜗杆热力学分析
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摘要
变齿厚内齿轮鼓形蜗杆传动是一种新型蜗杆传动,它由变齿厚内齿轮和利用包络形成的鼓形蜗杆两部分组成。它具有体积小、重量轻、结构紧凑以及大传动比等特点,在机器人智能关节领域有着广阔的应用前景。蜗杆传动在工作时会产生大量的热,同时电机置于蜗杆内部也会产生大量的热,使蜗轮蜗杆发生变形,产生热应力。为了掌握内齿轮包络鼓形蜗杆传动副的热应力分布及其热变形情况,探讨温度对最大应力的影响,做了以下研究。首先,利用微分几何与啮合理论通过Creo建立齿面数学模型;其次,将模型导入Ansys Workbench中对其进行热分析和热力学分析;最后,利用参数化设计的方法,分析出在特定结构载荷的作用下,温度对蜗轮蜗杆的最大等效应力的影响,并得出最大应力与温度变化的关系曲线。
Drum-type worm gear enveloped by internal variable-tooth-thickness gear is a new-type worm drive,composed of internal variable-tooth-thickness gear and drum-type worm gear formed by its envelope,which characterizes small size,light weight and high transmission ratio. It has a widespread application prospect in robot intelligent joint field. Worm drives generate a lot of heat during operation and motors placed inside the worm also generate a lot of heat. This generated heat causes deformation of the worm gear and generates thermal stress. In order to grasp the distribution of thermal stress and the thermal deformation of the drum-enveloped worm gearing with inner teeth enveloping and explore the influence of temperature on the maximum stress,we have done the following studies.First,establish a mathematical model of the tooth surface through the aid of differential geometry and meshing theory.Next,import the model into ansys workbench for thermal analysis and thermodynamic analysis. Finally,using the method of parametric design,analysis how temperature effect the maximum stress of worm gear under the influence of specific structural load and obtain the curve of maximum stress with temperature changes.
Drum-type worm gear enveloped by internal variable-tooth-thickness gear is a new-type worm drive,composed of internal variable-tooth-thickness gear and drum-type worm gear formed by its envelope,which characterizes small size,light weight and high transmission ratio. It has a widespread application prospect in robot intelligent joint field. Worm drives generate a lot of heat during operation and motors placed inside the worm also generate a lot of heat. This generated heat causes deformation of the worm gear and generates thermal stress. In order to grasp the distribution of thermal stress and the thermal deformation of the drum-enveloped worm gearing with inner teeth enveloping and explore the influence of temperature on the maximum stress,we have done the following studies.First,establish a mathematical model of the tooth surface through the aid of differential geometry and meshing theory.Next,import the model into ansys workbench for thermal analysis and thermodynamic analysis. Finally,using the method of parametric design,analysis how temperature effect the maximum stress of worm gear under the influence of specific structural load and obtain the curve of maximum stress with temperature changes.
引文
[1]王进戈,陈永洪,邓新桥,等.侧隙可调式内啮合鼓形蜗杆传动慢驱装置:中国,ZL 201510225253.3[P].2016-09-14.
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[11]杜凯,杜旭,唐黎明,等.蜗杆蜗轮传动受力分析与效率计算[J].机械工程与自动化,2011(4):201-203.
[12]孙书民,王进戈,陈永洪,等.平面齿内齿轮一次包络鼓形蜗杆传动副的误差分析[J].机械强度,2016(1):99-104.
[13]夏江敬,胡剑,张仲甫.平面二次包络环面蜗轮副3维建模与数控仿真[J].武汉理工大学学报:信息与管理工程版,2003:81-83.
[14]汤黎明.基于有限元法的平面包络环面蜗杆副的力学特性研究[D].重庆:重庆大学,2011.
[15]陈海峰,王欢,翟培培.基于有限元法的蜗轮蜗杆热力学分析[J].机械传动,2014,38(10):170-172.
[16]严宏志,胡威,何国旗.考虑表面粗糙度的面齿轮齿面接触应力分析[J].机械设计与研究,2012,28(4):58-61.
[17]陈晓南,杨培林.机械设计基础[M].北京:科学出版社,2007.
[18]刘爱敏,韩衍昭,王利红.斜齿轮传动啮合过程齿面接触应力有限元分析[J].机械设计与研究,2013,29(3):35-38.
[2]陈燕,殷国富,陈永洪.平面齿内齿轮包络鼓形蜗杆齿面差检测及溯源[J].四川大学学报:工程科学版,2016:171-177.
[3]邓星桥,王进戈,张均富,等.基于遗传算法的无侧隙双滚子包络环面蜗杆传动的参数优化设计[J].四川大学学报:工程科学版,2010:250-254.
[4]DENG X Q,WANG J G,HORSTEMEYER M F,et al.Parametric study of meshing characteristics with respect to differentmeshing rollers of the anti-backlash double-roller enveloping worm gear[J].Journal of Mechanical Design,2012,134(8):(081004-1)-(081004-12).
[5]SEOL I H,LITVIN F L.Computerized design,generation and simulation of meshing and contact of modifiedinvolute,Klingelnberg and Flender type worm gear drives[J].Journal of MechanicalDesign,1996,118(2):551-555.
[6]LITVIN F,FUENTES A,HAYASAKA K.Design,manufacture,stress analysis,and experimental tests of low-noise high endurancespiral bevel gears[J].Mechanism and Machine Theory,2006,41(1):83-118.
[7]周亮,王进戈,胡登洲,等.变齿厚内齿轮包络鼓形蜗杆强度分析[J].工具技术,2017,51(10):67-71.
[8]王进戈,张均富,邓星桥,等.无侧隙双滚子包络环面蜗杆传动的参数优化[J].机械工程学报,2010:6-12.
[9]张光辉.侧隙可调式平面包络环面蜗杆传动:中国,CN99117383.X[P].2003-04-16.
[10]陈永洪.平面齿内齿轮包络鼓形蜗杆传的理论及实验研究[D].重庆:重庆大学,2013:42-45.
[11]杜凯,杜旭,唐黎明,等.蜗杆蜗轮传动受力分析与效率计算[J].机械工程与自动化,2011(4):201-203.
[12]孙书民,王进戈,陈永洪,等.平面齿内齿轮一次包络鼓形蜗杆传动副的误差分析[J].机械强度,2016(1):99-104.
[13]夏江敬,胡剑,张仲甫.平面二次包络环面蜗轮副3维建模与数控仿真[J].武汉理工大学学报:信息与管理工程版,2003:81-83.
[14]汤黎明.基于有限元法的平面包络环面蜗杆副的力学特性研究[D].重庆:重庆大学,2011.
[15]陈海峰,王欢,翟培培.基于有限元法的蜗轮蜗杆热力学分析[J].机械传动,2014,38(10):170-172.
[16]严宏志,胡威,何国旗.考虑表面粗糙度的面齿轮齿面接触应力分析[J].机械设计与研究,2012,28(4):58-61.
[17]陈晓南,杨培林.机械设计基础[M].北京:科学出版社,2007.
[18]刘爱敏,韩衍昭,王利红.斜齿轮传动啮合过程齿面接触应力有限元分析[J].机械设计与研究,2013,29(3):35-38.