Strain Analysis of Six-axis Force/Torque Sensors with Y-shaped Crossbeam

doi:10.3901/JME.2020.12.001

Abstract

Abstract: The prerequisite of designing a strain-gauged six-axis force/torque sensor is to know the strain distribution in its elastic structure. However, the traditional finite element analysis(FEA) based on geometric modeling is time-consuming and inefficient. An efficient and accurate strain analysis is therefore proposed for the six-axis force/torque sensor with Y-shaped elastic crossbeam. The deformation characteristics of the Y-shaped beam under various axial force/torque loads are analyzed, and a simplified mechanical model is established using Timoshenko beam theory. The explicit expressions of the strain are obtained, and the corresponding predictions are compared with the finite element simulations. The results show that the analytical solution agrees quite well with the FEA results, which validates the mechanical model. The study therefore provides an effective and accurate tool for the design of six-axis force/torque sensors with Y-shaped elastic crossbeam.

Key words: six-axis force/torque sensor, Y-shaped elastic crossbeam, strain distribution, Timoshenko beam theory

CLC Number:

TP212

ZUO Meng, CHEN Weiqiu, YANG Ming, BAO Ronghao. Strain Analysis of Six-axis Force/Torque Sensors with Y-shaped Crossbeam[J]. Journal of Mechanical Engineering, 2020, 56(12): 1-8.

References

[1] 高国富,谢少荣,罗均. 机器人传感器及其应用[M]. 北京:化学工业出版社,2005. GAO Guofu,XIE Shaorong,LUO Jun. Robot sensor and its application[M]. Beijing:Chemical Industry Press,2005.
[2] LIU S A,TZO H L. A novel six-component force sensor of good measurement isotropy and sensitivities[J]. Sensors and Actuators A:Physical,2002,100(2-3):223-230.
[3] 王宣银,尹瑞多. 基于Stewart机构的六维力/力矩传感器[J]. 机械工程学报,2008,44(12):118-130. WANG Xuanyin,YIN Ruiduo. Six-dimensional force/torque sensor based on Stewart mechanism[J]. Chinese Journal of Mechanical Engineering,2008,44(12):118-130.
[4] KANG M K,KIM J H. Structural analysis and performance evaluation about attachment error of Y-sha-ped six-axis force/torque sensor[C]//Proceedings of the 7th Korea Robotics Society Annual Conference,Gangn-eung,Korea,2012:387-390.
[5] KIM G S,KANG D I,RHEE S H. Design and fabrication of a six-component force/moment sensor[J]. Sensors and Actuators A:Physical,1999,77(3):209-220.
[6] XU K,LI C,ZHU Z. Dynamic modeling and compen-sation of robot six-axis wrist force/torque sensor[J]. IEE-E Transactions on Instrumentation and Measurement,2007,56(5):2094-2100.
[7] KIM G S. Design of a six-axis wrist force/moment sensor using FEM and its fabrication for an intelligent robot[J]. Sensors and Actuators A:Physical,2007,133(1):27-34.
[8] YUAN C,LUO L P,YUAN Q,et al. Development and evaluation of a compact 6-axis force/moment sensor with a serial structure for the humanoid robot foot[J]. Measur-ement,2015,70:110-122.
[9] KANG C. Performance improvement of a 6-axis force-torque sensor via novel electronics and cross-shaped double-hole structure[J]. International Journal of Control Automation and Systems,2005,3(3):469-476.
[10] 黄心汉,胡建元,王健. 一种非径向三梁结构六维腕力传感器弹性体及优化设计[J]. 机器人,1997,14(5):1-7. HUANG Xinhan,HU Jianyuan,WANG Jian. A non-radial three-beam structure six-dimensional wrist force sensor elastomer and optimized design[J]. Robot,1997,14(5):1-7
[11] LIANG Q,ZHANG D,SONG Q,et al. Design and fabrication of a six-dimensional wrist force/torque sensor based on E-type membranes compared to cross beams[J]. Measurement,2010,43(10):1702-1719.
[12] 贺伟,高昌,张小庆,等. 脉冲燃烧风洞测力天平研制与应用[J]. 实验流体力学,2016,30(4):66-70. HE Wei,GAO Chang,ZHANG Xiaoqing,et al. Devel-opment and application of the force-measuring balance in impulse combustion wind tunnel tests[J]. Journal of Experiments in Fluid Mechanics,2016,30(4):66-70.
[13] 罗天保,王作全,沈景鹏,等. 基于过程控制的风洞天平校准技术研究[J]. 中国测试,2012(4):37-39. LUO Tianbao,WANG Zuoquan,SHEN Jingpeng,et al. Study on calibration technology for wind tunnel balance based on statistic process control[J]. China Measurement & Test,2012(4):37-39.
[14] CHAO L P,CHEN K T. Shape optimal design and force sensitivity evaluation of six-axis force sensors[J]. Sens-ors and Actuators A:Physical,1997,63(2):105-112.
[15] VLADIMIR S. Robotics:control,sensing,vision,and intelligence[M]. New York:McGraw-Hill,1987.
[16] MA J,SONG A. Fast estimation of strains for cross-beams six-axis force/torque sensors by mechanical mode-ling[J]. Sensors,2013,13(5):6669-6686.
[17] KANG M K,LEE S,KIM J H. Shape optimization of a mechanically decoupled six-axis force/torque sensor[J]. Sensors and Actuators A:Physical,2014,209:41-51.
[18] JOO J W,NA K S,KANG D I. Design and evaluation of a six-component load cell[J]. Measurement,2002,32(2):125-133.
[19] GERE J M,TIMOSHENKO S P. Mechanics of materials[M]. New York:Van Nostrand Reinhold,1984.