机构学及机器人

重力引起的3自由度气浮台各类不平衡力矩关系及影响

  • 李延斌 ,
  • 向东 ,
  • 高有华
展开
  • 1. 沈阳工业大学机械工程学院  沈阳  110023
    2. 哈尔滨工业大学机电工程学院  哈尔滨  150001
李延斌,男,1964年出生,博士,副教授。主要研究方向为航天器地面仿真技术。 E-mail:Liyanbin66@163.com

收稿日期: 2014-11-06

  修回日期: 2015-09-27

  网络出版日期: 2015-11-05

基金资助

国家自然科学基金(51305094)、辽宁省自然科学基金(201202161)和辽宁省教育厅一般项目(L2015386)资助项目

 

Relation and Influence of All Kinds of Unbalance Torques of Three Degrees of Freedom Air-bearing Spacecraft Simulator Caused by Gravity

  • LI Yanbin ,
  • XIANG Dong ,
  • GAO Youhua
Expand
  • 1. School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110023;
    2. College of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001

Received date: 2014-11-06

  Revised date: 2015-09-27

  Online published: 2015-11-05

摘要

为了提高3自由度气浮台的仿真精度,减小重力引起不平衡力矩的影响,提出气浮台弹性不平衡力矩的计算及补偿方法。建立气浮台重力引起的静态、弹性、重力梯度和总不平衡力矩的计算模型,分析重力引起的各类不平衡力矩关系及影响。通过对比发现气浮台质心位置相对回转中心较远时,静态不平衡力矩起主要作用。随着质心位置接近回转中心,弹性不平衡力矩逐渐成为影响气浮台平衡的主要因素,此时质心位置与回转中心距离的减小已不起作用,说明弹性不平衡力矩是制约气浮台精度提高的主要因素。提出静态不平衡力矩与弹性不平衡力矩相互补偿的原理,给出自动调平衡系统补偿算法。试验结果表明采用补偿方法是减小气浮台不平衡力矩的有效措施。

本文引用格式

李延斌 , 向东 , 高有华 . 重力引起的3自由度气浮台各类不平衡力矩关系及影响[J]. 机械工程学报, 2015 , 51(21) : 7 -14 . DOI: 10.3901/JME.2015.21.007

Abstract

To improve three degrees of freedom air-bearing simulation accuracy and reduce the influence of unbalance torque caused by gravity, a method for calculating and compensating elastic unbalance torque is proposed. After computational model of static, plastic, gravity gradient and total unbalance torque being established, the relation and influence among all kinds of unbalance torque cause by gravity are analysis. It is discovered by contrast that static unbalance torque plays an important role when the platform mass center is far away from the rotationcenter. With the mass center approaching to rotationcenter, elastic unbalance torque is gradually becoming the main factor affecting the air-bearing platform balance. Then closing the distance between mass center and rotationcenter has nothing to do on reducing the unbalance torque, which shows that elastic unbalance torque is the main limiting factor for improving platform accuracy. The principle for mutual compensation between static unbalance torque and elastic unbalance torque is proposed and the compensation algorithm with automatic balancing system is provided. Experimental results have demonstrated application of the compensation method is an important channel for reducing unbalance torque.

参考文献

 [1]  GLEASON. Generated hypoid gears duplex helical method [M]. RochesterThe Gleason Works1971.

 [2]  TSAY C BLIN J Y. A mathematical model for the tooth  geometry of hypoid gears [J]. Mathematical and Computer Modelling199318(2)23-34.

 [3]  LIN C YTSAY C BFONG Z H. Computer-aided manufacturing of spiral bevel and hypoid gears by applying optimization techniques [J]. Journal of Materials Processing Technology200111422-35.

 [4]  IGNACIO G PFUENTES AKAHRAMAN A. Computerized design and tooth contact analysis of spiral bevel gears generated by the duplex helical method[C]// Proceedings of the ASME 2011 International Design Engineering Technical Conference & Computers and Information in Engineering ConferenceAugust 28-312011WashingtonDC. New YorkASME20111-10.

 [5]  王哲,刘庆民,张德君,等. 加工弧齿锥齿轮的精确双重螺旋法(Ⅰ)[J]. 吉林林学院学报,199511(2)75-79.        WANG ZheLIU QingminZHANG Dejunet al. The exact duplex helical method in generation of spiral bevel gears (I)[J]. Journal of Jilin Forestry University199511(2)75-79.

 [6]  曾韬. 弧齿锥齿轮设计与加工[M]. 哈尔滨:哈尔滨工业大学出版社,1989.

         ZENG Tao. Design and manufacture of spial bevel and hypoid gears[M]. HarbinHarbin Institute of Technology Press1989.

 [7]  爱·维尔德哈泊.锥齿轮和准双曲面齿轮啮合原理[M].北京:机械工业出版社,1958WILDHABER E. Principle of gearing of bevel and hypoid gears[M]. BeijingChina Machine Press1958.

 [8]  BORIS A S. Design and manufacture of hypoid gears [M]. RochesterThe Gleason Works1978.

 [9]  FUENTES AIGNACIO G PLITVIN F Let al. Design, manufacture, and evaluation of prototypes of low-noise high-endurance spiral bevel gear drives [C]// Proceeding of IDETC/CIE 2005 ASME 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering ConferenceSeptember 24-282005Long BeachClifornia. New YorkASME20051-11.

[10]  LITVIN F LFUENTES AKAHRAMAN A. Designmanufacturestress analysisand experimental tests of low-noise high endurance spiral bevel gears [J]. Mechanism and Machine Theory2006 (41)83-118.

[11]  ARGYRIS JFUENTES ALITVIN F L. Computerizedintegrated approach for design and stress analysis of spiral bevel gears [J]. Computer Methods in Applied Mechanics and Engineering, 20021911057-1095.

[12]  吴序堂. 齿轮啮合原理[M]. 2. 西安:西安交通大学出版社,2009.   WU Xutang. Principle of gearing [M]. 2nd ed. Xi’anXi’an JiaotongUniversity Press2009.

[13]  LITVIN F L. Gear geometry and applied theory [M]. MelbourneCambridgeUniversity Press, 2004.

[14]  董学朱. 齿轮啮合理论基础[M]. 北京:机械工业出版社,1989.   DONG Xuezhu. Gear meshing theory foundation[M]. BeijingChina Machine Press1989.

[15]  北京齿轮厂. 格利森锥齿轮技术资料译文集——第二分册——格利森锥齿轮设计及计算[M]. 北京:机械工业出版社,1983.  Beijing Gear Factory. A collection of technical materials of Gleason system bevel gears-the second volume-design and calculation of Gleason system bevel gears [M]. BeijingChina Machine Press1983.

[16]  ANSI/AGMA 2005-D03. Design manual for bevel gears [S]. AlexandriAmerican Gear Manufacturers Association2003.

[17]  ANSI/AGMA ISO 23509-A08. Bevel and hypoid gear geometry [S]. AlexandriaAmerican Gear Manufacturers

         Association2008.

[18]  KOLIVAND MKAHRAMAN A. A load distribution model for hypoid gears using ease-off topography and shell theory [J]. Mechanism and Machine Theory2009441848-1865.

[19]  SHIH Y P. A novel ease-off flank modification methodology for spiral bevel and hypoid gears [J]. Mechanism and Mechine Theory2010451108-1124.

[20]  KOLIVAND MKAHRAMAN A. An ease-off based method for loaded tooth contact analysis of hypoid gears having local and global surface deviations [C]// Proceedings of the ASME 2009 International Design Engineering Technical Conferences & Computers and Information in Engineering ConferenceAugust 30-September 22009San DiegoCalifornia. New YorkASME20091-10.

[21]  ARTONI AKOLIVAND MKAHRAMAN A. An ease-off based optimization of the loaded transmission error of hypoid gears [J]. ASME Journal of Mechanical Design2010132011010-1-011010-9.

文章导航

/