矢量推力台架各向同性及灵敏度分析

吴锋; 袁占斌; 张有

doi:10.13224/j.cnki.jasp.2020.07.002

矢量推力台架各向同性及灵敏度分析

doi: 10.13224/j.cnki.jasp.2020.07.002

吴锋^1,2,
袁占斌³,
张有²

基金项目: 陕西自然科学基金(2020JM-153); 重点实验室基金(N2018KE0080)

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- 被引次数: 0
出版历程
- 收稿日期: 2019-12-19
- 刊出日期: 2020-07-28

Analysis on isotropy and sensitivity of vector thrust stand

1.
School of Power and Energy,Northwestern Polytechnical University,Xi’an 710072,China
2.
Science and Technology on Altitude Simulation Laboratory,Sichuan Gas Turbine Establishment,Aero Engine Corporation of China,Jiangyou Sichuan 621700,China
3.
School of Mathematics and Statistics,Northwestern Polytechnical University,Xi‘an 710072,China

摘要

摘要: 为了对矢量推力台架进行结构参数设计与优化,进行了台架的各向同性和灵敏度分析。考虑到各向同性和对称性密切相关,提出了矢量推力台架中测力单元对称分布定义,并推导了对称分布下,测力单元坐标满足的特征方程。基于1阶静力影响系数矩阵的条件数这一指标对测力单元对称分布的六分力台架进行了各向同性分析,发现对称六分力台架2∶2∶2构型可具有完全各向同性,而3∶2∶1构型只能具有力矩各向同性;并经过优化分布半径和方位角得到理想2∶2∶2构型需满足rx=ry=rz和(θx,θy,θz)=(0°,90°,180°)或(90°,180°,270°),理想3∶2∶1构型需满足rx=3rz/2和θx=0°。研究了两种实际台架和两种理想台架的联系和区别,并通过对实际台架进行各向同性和灵敏度分析,发现台架具有力或者力矩各向同性会导致力或者力矩灵敏度也具有各向同性;力和力矩灵敏度都与相关联的测力单元的弹性杆柔度成正比,力矩灵敏度与相关联的测力单元分布半径成反比。该研究方法和结论对设计与建造推力矢量发动机测力台架具有一定的理论与方法方面的指导意义。
- 六分力台架 /
- 矢量推力 /
- 各向同性 /
- 对称分布 /
- 灵敏度分析
Abstract: The isotropy and sensitivity analysis was conducted to design and optimize the structure of vector thrust stand. Given the closely interlinked isotropy and symmetry, symmetric distribution of load cells was denoted, and the associated characteristic equations about their coordinates were proved.By condition number based on spectral norm of first order static coefficient matrix,the isotropy features of six-component stand were analyzed in detail. It was proved that 2∶2∶2 configuration can realize perfect isotropy and 3∶2∶1 configuration can only realize isotropy of torque.After optimizing radius and angles,the ideal configurations were obtained for each case respectively.The ideal 2∶2∶2 configuration was rx=ry=rz with (θx,θy,θz)=(0,90°,180°) or (90°,180°,270°) and ideal 3∶2∶1 configuration was rx=3rz/2 with θx=0°. Comparing the difference between real and ideal configurations and studying associated sensitivity,it was found that the isotropy of force or torque led to the isotropy of corresponding sensitivity.The force and torque sensitivity were proportional to the flexibility of the elastic rod,while the torque sensitivity was inversely proportional to the distribution radius of the related cells.Above methods and conclusions are instrumental in design and construction of vector thrust stand.
- six-component thrust stand /
- vector thrust /
- isotropy /
- ,symmetric distribution /
- sensitivity analysis

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参考文献(20)

[1]	RUNYAN R B,RYND J P,SEELY J F.Thrust stand design principles［R］.Nashville,Tennessee,USA:AIAA 17th Aerospace Ground Testing Conference,1992.
[2]	CASTNER R,GOODNIGHT T.Improvements to the propulsion systems lab Glenn research center［R］.Reno,Nevada,USA:AIAA 43rd Aerospace Sciences Meeting and Exhibit,2005.
[3]	赵现朝.Stewart结构六维力传感器设计理论与应用研究［D］.河北秦皇岛:燕山大学,2002. ZHAO Xianchao.Design theory and application of the 6-axis F/T sensors based on steward platform structure［D］.Qinghuangdao,Hebei:Yanshan University,2002.(in Chinese)
[4]	张有,张斌山,吴锋,等.六分力台架设计与矢量推力定位［J］.航空动力学报,2019,34(11):2324-2330. ZHANG You,ZHANG Binshan,WU Feng,et al.Six-component stand design and vector thrust positioning［J］.Journal of Aerospace Power,2019,34(11):2324-2330.(in Chinese)
[5]	KANEKO M.Twin-head six-axis force sensors［J］.IEEE Transactions on Robotics and Automation,1996,12(1):146-154.
[6]	UCHIYAMA M,HAKOMORI K A.Few considerations on structure design of force sensors［R］.Osaka,Japan:The 3rd Annual Conference,1985.
[7]	熊有伦.机器人力传感器的各向同性［J］.自动化学报,1996,22(1):10-18. XIONG Youlun.On isotropy of robots force sensors［J］.Acta Automatica Sinica,1996,22(1):10-18.(in Chinese)
[8]	赵永生,姚建涛,侯雨雷,等.并联结构六维力传感器［M］.北京:国防工业出版社,2014.
[9]	姚建涛,侯雨雷,毛海峡,等.Stewart结构六维力传感器各向同性的解析分析与优化设计［J］.机械工程学报,2009,45(12):22-28. YAO Jiantao,HOU Yulei,MAO Haixia,et al.Analytic analysis and optimal design of isotropy performance of six dimensional force sensor based on Stewart platform［J］.Journal of Mechanical Engineering,2009,45(12):22-28.(in Chinese)
[10]	WANG Hongrui,GAO Feng,HUANG Zhen.Design of 6-axis force/torque sensor based on Stewart platform related to isotropy［J］.Chinese Journal of Mechanical Engineering,1998,11(3):217-222.
[11]	王洪瑞,陈贵林,高峰,等.基于Stewart平台的6维力传感器各向同性的进一步分析［J］.机械工程学报,2000,36(4):49-52. WANG Hongrui,CHEN Guilin,GAO Feng,et al.Analyze of 6-axis force/torque sensor based on stewart platform related to isotropy［J］.Journal of Mechanical Engineering,2000,36(4):49-52.(in Chinese)
[12]	赵克定,杨灏泉,吴盛林,等.基于Stewart平台的六维力/力矩传感器各向同性的解析研究［J］.航空学报,2002,23(3):241-244. ZHAO Keding,YANG Haoquan,WU Shenglin,et al.Analysis of isotropy for the six-axis force/torque sensor based on stewart platform［J］.Acta Aeronautica et Astronautica Sinaca,2002,23(3):241-244.(in Chinese)
[13]	赵延治,赵铁石,温锐,等.并联结构六维力传感器性能分析与优化设计［J］.中国机械工程,2006,17(增刊):299-302. ZHAO Yanzhi,ZHAO Tieshi,WEN Rui,et al.Performance analysis and optimal design of axis force sensor［J］.China Mechanical Engineering,2006,17(Suppl.):299-302.(in Chinese)
[14]	TAO L,YOSHI I,KYOKO S,A six dimensional parallel force sensor for human dynamics analysis［R］.Singapore:The 2004 IEEE Conference on Robotics,Automation and Mechatronics,2004.
[15]	佟志忠,姜洪洲,何景峰,等.基于单叶双曲面的标准Stewart结构六维力传感器各向同性优化设计［J］.航空学报,2011,32(12):2327-2334. TONG Zhizhong,JIANG Hongzhou,HE Jingfeng,et al.Optimal design of isotropy performance of six-dimensional force sensor based on standard Stewart platform lying on a circular hyperboloid of one sheet［J］.Acta Aeronautica et Astronatica Sinica,2011,32(12):2327-2334.(in Chinese)
[16]	佟志忠,姜洪洲,何景峰,等.基于复合单叶双曲面的广义Gough-Stewart结构六维力传感器各向同性优化设计［J］.航空学报,2013,34(11):2607-2615. TONG Zhizhong,JIANG Hongkai,HE Jingfeng,et al.Optimal design of isotropy performance of a six dimensional force sensor based on a generalized Gough-Stewart structure lying on a pair of circular hyperboloids［J］.Acta Aeronautica et Astronatica Sinica,2013,34(11):2607-2615.(in Chinese)
[17]	黄真.高等空间机构学［M］.北京:高等教育出版社,2006.
[18]	GOLUB G H,VAN LOAN C F.Matrix computations［M］.Baltimore,Maryland,USA:the Johns Hopkins University Press,2012.
[19]	BROWN J W,CHUCHILL R V.Complex variables and applications［M］.London:McGraw-Hill Education,2013.
[20]	汤伟,刘李涛,陈洪,等.矢量喷管推力特性的风洞试验技术［J］.航空动力学报,2018,33(4):858-864.