为了研究关键设计参数对平面包络内啮合蜗杆传动接触性能及承载能力的影响。基于齿轮啮合原理，构建平面包络内啮合蜗杆传动的空间齿面接触线方程，利用数值计算方法求得空间齿面接触线，并将其映射到蜗轮齿面，通过分析中心距、传动比、母平面倾角、蜗轮回转轴倾角、蜗轮转角、蜗杆分度圆系数、主基圆系数等不同参数对蜗杆齿面接触区域的分布情况，找出合理的设计参数范围，此外，根据初步分析结果，选取一组较为合理参数生成了平面包络内啮合蜗杆传动的三维模型。研究表明，传动比、母平面倾角、蜗轮转角对平面包络内啮合蜗杆传动的接触区域有较大影响，母平面倾角在18°~36°、蜗轮回转中心轴倾角在30°~54°、蜗轮转角在90°~138°之间取值时，平面包络内啮合蜗杆传动的具有较好的接触区域。研究结果为平面包络内啮合蜗杆传动的后续研究奠定了理论基础。
邓星桥
,
冯志鹏
,
李双岑
,
王杰
,
王进戈
. 平面包络内啮合蜗杆传动关键参数对接触区域的影响分析[J]. 机械工程学报, 2018
, 54(23)
: 47
-55
.
DOI: 10.3901/JME.2018.23.047
To study the influence of key parameters on the contact characteristic and load bearing capacity of planar enveloping internal-meshing worm drive, contact line function of the planar enveloping internal-meshing worm drive is build based on the gearing meshing theory, also, the contact line calculated by Matlab software are shadowed on the teeth of worm wheel, and then center distance、transmission ratio、axial crossing angle between the worm and the worm wheel、inclination angle of the generating plane、pitch circle coefficient and the main base circle coefficient are used to figure out the ideal design parameters for the planar enveloping internal-meshing worm drive using the tooth contact analyze method. Furthermore, one three-dimension model of the planar enveloping internal-meshing worm drive is generated by using the above ideal design parameters. This study shows that the transmission ratio、inclination angle of the generating plane and rotating angles of the worm wheel has much more influences on the contact zone for the planar enveloping internal-meshing worm drive. However, the inclination angle of the generating plane is between 18°-36°, the axial crossing angle between the worm and the worm wheel is between 30°-54°, the rotating angles of worm wheel is between 90°-138°, planar enveloping internal-meshing worm drive has much better contact characteristic. This study laid the foundation for further theory and practice study on the planar enveloping internal-meshing worm drive.
[1] SIMON V. Influence of tooth errors and misalignments on tooth contact in spiral bevel gears[J]. Mechanism and Machine Theory,2008,43(10):1253-1267.
[2] ZHONG Chunhao,YANG Xiajun. Driving torque reduction in linkage mechanisms using joint compliance for robot head[J]. Chinese Journal of Mechanical Engineering,2015,28(5):888-895.
[3] HAN Xinghui,HUA Lin,DENG Song,et al. Influence of alignment errors on contact pressure during straight bevel gear meshing process[J]. Chinese Journal of Mechanical Engineering,2015,28(6):1089-1099.
[4] ZHU Ning,SUN Shouguang,LI Qiang,et al. Theoretical research and experimental validation of elastic dynamic load spectra on bogie frame of high-speed train[J]. Chinese Journal of Mechanical Engineering,2016,29(3):489-506.
[5] DUDAS L. Modelling and simulation of a new worm gear drive having point-like contact[J]. Engineering with Computers,2012,29(3):251-272.
[6] DENG Xingqiao,ZHU Weibing,CHEN Yonghong,et al. Optimal design for an end face engagement worm gear with multiple worm-wheel meshing[J]. Chinese Journal of Mechanical Engineering. 2017,1(30):144-151.
[7] DENG Xingqiao,FENG Zhipeng. Theory study of a novel planar enveloping internal-meshing worm drive[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2017,39(6):4807-4818.
[8] MEDVEDEV V I,VOLKOV A E,VOLOSOVA M A,et al. Mathematical model and algorithm for contact stress analysis of gears with multi pair contact[J]. Mechanism and Machine Theory,2015,86(2):1561-1571.
[9] CHEN Yangzhi,LUO Liang,HU Qiang. The contact ratio of a space-curve meshing-wheel transmission mechanism[J]. Journal of Mechanical Design,2009,131(7):074501-074505.
[10] ZHANG Guanghui,WANG Jinge,LONG Rui,et al. The study on rolling cone enveloping hourglass worm gearing[J]. Chinese Journal of Mechanical Engineering,1993,16(4):293-298.
[11] ZHAO Han,WU Qilin. Application study of fractal theory in mechanical transmission[J]. Chinese Journal of Mechanical Engineering,2016,29(5):871-879.
[12] FU Jianxun,GAO Feng. Optimal design of a 3-Leg 6-DOF parallel manipulator for a specific workspace[J]. Chinese Journal of Mechanical Engineering,2016,29(4):659-668.
[13] XU Yilin,GAO Feng,PAN Yang,et al. Method for six-legged robot stepping on obstacles by indirect force estimation[J]. Chinese Journal of Mechanical Engineering,2016,29(4):669-679.
[14] DENG Xingqiao,WANG Jinge,HORSTEMEYER M F,et al. Parametric study of meshing characteristics with respect to different meshing rollers of the anti-backlash double-roller enveloping worm gear[J]. Journal of Mechanical Design,2012,134(8):(081004-1)-(081004-12).
[15] DENG Xingqiao,WANG Jueling,WANG Jinge,et al. Parametric analysis of the end face engagement worm gear[J]. Chinese Journal of Mechanical Engineering,2015,28(6):1177-1185.
[16] DENG Xingqiao,WANG Jinge,HORSTEMEYER M F,et al. Modification design method for an enveloping hourglass worm with consideration of machining and misalignment errors[J]. Chinese Journal of Mechanical Engineering,2013,26(5):948-956.
[17] ZHAO Han,WU Qilin. Application study of fractal in mechanical transmission[J]. Chinese Journal of Mechanical Engineering,2016,29(5):871-879.
[18] GOLABI S,FESHARAKI J,YAZDIPOOR M. Gear train optimization based on minimum volume/weight design[J]. Mechanism and Machine Theory,2014,73(12):197-217
[19] LIN Wansung,SHIH Yipei,LEE Jyhjone. Design of a two-stage cycloidal gear reducer with tooth modifications[J]. Mechanism and Machine Theory,2014,79(5):184-97.
[20] CHEN Yonghong,CHEN Yan,LUO Wenjun,et al. Theoretical and experimental inverstigation of accurately turing the TI worm tooth surface[J]. Journal of Advanced Mechanical Design,System,and Manufacturing,2015,9(2):1-13.
[21] LITVIN F,FUENTES A,HAYASAKA K. Design,manufacture,stress analysis and experimental tests of low-noise high endurance spiral bevel gears[J]. Mechanism and Machine Theory,2006,41(1):83-118.
