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1.上海大学 机电工程与自动化学院, 上海 200072
2.苏州大学 机器人与微系统研究中心, 江苏 苏州 215021
[ "马立(1977-), 女, 黑龙江人, 博士, 研究员, 2007年于哈尔滨工业大学获得博士学位, 现为上海大学机电工程与自动化学院教师, 主要从事微操作机器人技术方面的研究。E-mail:hitlian@163.com" ]
收稿日期:2016-10-21,
录用日期:2017-2-17,
纸质出版日期:2017-07-25
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马立, 杨斌, 田应仲, 等. 3-PRR平面三自由度纳米定位平台的设计[J]. 光学 精密工程, 2017,25(7):1866-1873.
Li MA, Bin YANG, Ying-zhong TIAN, et al. Design of 3-DOF planar nano-positioning platform with 3-PRR structure[J]. Optics and precision engineering, 2017, 25(7): 1866-1873.
马立, 杨斌, 田应仲, 等. 3-PRR平面三自由度纳米定位平台的设计[J]. 光学 精密工程, 2017,25(7):1866-1873. DOI: 10.3788/OPE.20172507.1866.
Li MA, Bin YANG, Ying-zhong TIAN, et al. Design of 3-DOF planar nano-positioning platform with 3-PRR structure[J]. Optics and precision engineering, 2017, 25(7): 1866-1873. DOI: 10.3788/OPE.20172507.1866.
本文设计了一种由压电陶瓷驱动的应变片进行检测的平面三自由度纳米定位平台,该平台采用的是平板铰链、直圆铰链及单边V型铰链导向的3-PRR结构。通过建立平台的伪刚体模型及对其进行位姿分析,获得了平台的正、逆解。同时,运用有限元分析方法对平台进行了仿真分析。搭建了3-PRR平面三自由度纳米定位平台测试实验系统对所设计平台进行试验。实验结果显示:3-PRR平台沿x轴、y轴的行程及最大转角分别为-11.32~11.41
μ
m、-12.47~12.76
μ
m、3.63',对应的分辨率分别为71 nm、83 nm、1.35"。理论分析结果、有限元仿真结果与实验结果的最大误差分别为5.87%、6.19%,验证了理论分析和有限元仿真的正确性。
x
轴及
y
轴的位移输出与应变片的输出电压近似呈正比关系,证实了利用应变片来检测3-PRR平台运动的可行性。
A 3-DOF nano-positioning platform detected by strain gauges driven by piezoelectric ceramics based on orientation of plate hinge
right angle flexure hinge and unilateral V-type hinge was designed. Pseudo-rigid-body model was established
and position analysis was conducted on it to obtain positive solution and inverse solution of the platform. Meanwhile
simulation analysis was conducted on the platform with finite elements analysis. Test experiment system of 3-DOF planar nano-positioning platform with 3-PRR structure was established. Experimental result indicates that travel ranges of 3-PRR platform along x-axis
y-axis and maximum rotary angle are respectively -11.32~11.41
μ
m
-12.47~12.76
μ
m
3.63'
and corresponding resolution ratios are respectively 71 nm
83 nm
1.35". Maximal errors of theoretical analysis and finite element simulation to experimental result are respectively 5.87%
6.19% to verify correctness of theoretical analysis and finite element simulation. Displacement output of
x
-axis and
y
-axis is approximately proportional to output voltage of strain gauges
which verifies the feasibility to use strain gauges to detect movement of 3-PRR platform.
CAI K H, TIAN Y L, WANG F J, et al.. Development of a piezo-driven 3-DOF stage with T-shape flexible hinge mechanism. Robotics and Computer-Integrated Manufacturing, 2016, 37:125-138.
马立, 谢炜, 刘波, 等.柔性铰链微定位平台的设计.光学 精密工程, 2014, 22(2):338-345.
MA L, XIE W, LIU B, et al.. Design of micro-positioning stage with flexure hinge. Opt. Precision Eng., 2014, 22(2):338-345. (in Chinese)
CHEN G M, LIU X Y, DU Y L. Elliptical-arc-fillet flexure hinges:Toward a generalized model for commonly used flexure hinges. Journal of Mechanical Design, 2012, 133(8):81-85.
KIM H Y. Development and optimization of a novel 3-DOF precision flexure stage.Proceedings of 10th IEEE International Conference on Nanotechnology, Seoul, South Korea, 2010.
CHAO D H, ZONG G H. Design of a 6-DOF compliant manipulator based on serial-parallel architecture. IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Monterey, CA, USA, 2005, 24-28.July
周丽平, 张泉, 孙志峻.直线超声电动机驱动的平面3-PRR并联平台视觉精密定位.机械工程学报, 2014, 50(19):18-23.
ZHOU L P, ZHANG Q, SUN Z J. Precision positioning of a 3-PRR planar parallel manipulator driven by linear ultrasonic motors based on machine vision. Journal of Mecharical Engineering, 2014, 50(19):18-23. (in Chinese)
SELVAKUMAR A A, KARTHIK K, KUMAR ALN, et al.. Kinematic and singularity analysis of 3 PRR parallel manipulator.Advanced Materials Research, 2012, 403-408:5015-5021.
STAICU S. Inverse dynamics of the 3-PRR planar parallel robot.Robotics and Autonomous Systems, 2009, 57(5):556-563.
KALOORAZI M H F, MASOULEH M T, CARO S. Determination of the maximal singularity-free workspace of 3-DOF parallel mechanisms with a constructive geometric approach.Mechanism and Machine Theory, 2015, 84:25-36.
胡俊峰, 张宪民. 3自由度精密定位平台的运动特性和优化设计.光学 精密工程, 2012, 20(12):2686-2695.
HU J F, ZHANG X M.Kinematical properties and optimal design of 3-DOF precision positioning stage. Opt. Precision Eng., 2012, 20(12):2686-2695. (in Chinese)
YU Y Q, DU Z C, YANG J X, et al.. An experimental study on the dynamics of a 3-RRR flexible parallel robot. IEEE Transactions on Robotics, 2011, 27(5):992-997.
BUIUM F, LEOHCHI D, DOROFTEI I. A workspace characterization of the 3-RRR planar parallel mechanism. Applied Mechanics and Materials, 2014, 658:563-568.
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