Underactuated Shape Self-adaptive Pneumatic Fixture Clamping Stability

doi:10.3901/JME.2018.20.189

Abstract

Abstract: Underactuated fixture has the features of enveloping and powerful grip. On the other hand, underactuated mechanism is more easily to be disturbed by external interference. The contribution of gripped configuration and underactuated elements' parameters for gripped stability has not been revealed. The dynamic equations of an underactuated fixture are established by analysing the relationship between the gripping state and the small displacement. The equivalent stiffness of the underactuated gripped contact object is obtained, and the dynamic equation is established for gripped object. The dynamic contact stiffness matrix of the underactuated fixture is obtained by constructing the energy function. An example is used to analyse a planar two joints and symmetry gripped underactuated fixture. The asymptotically stable condition for gripped system can be described by two items:the contact point is symmetrical distribution, the equivalent contact damping C and contact stiffness K at each contact point is equal respectively. Furthermore, the asymptotic stability of the fixture can be satisfied when the stiffness and damping parameters meet the relative relation with the gripped configuration. The proposed method can be used to predicate the stability of the underactuated fixture. It can also guide the underactuated fixture design for gripped configuration and underactuated elements' parameters. The approach is significant to improve gripping safety and reliability of underactuated mechanical fixture.

Key words: clamping stability, clamping stiffness, fixture, underactuated

CLC Number:

TG756

YAO Shuangji, SHI Yan, ZHAO Dingxuan, LU Zhen. Underactuated Shape Self-adaptive Pneumatic Fixture Clamping Stability[J]. Journal of Mechanical Engineering, 2018, 54(20): 189-196.

References

[1] 熊有伦,尹周平,熊蔡华. 机器人操作[M]. 武汉:湖北科学技术出版社,2002 XIONG Youlun,YIN Zhouping,XIONG Caihua. Robotics manipulate[M]. Wuhan:Hubei Science and Technology Press,2002.
[2] HANAFUSA H,ASADA H. Stable prehension by a robot hand with elastic fingers[C]//Proc. of the 7th International Symp. of Industrial Robots,1977,Tokyo,Japan,1977:361-368.
[3] NGUYEN V D. Constructing stable grasps[J]. International Journal of Robot Research,1989,V8(1):26-37.
[4] CUTKOSKY M R,WRIHGT P. Friction,stability and the design of robotic fingers[J]. International Journal of Robot Research,1986,V5(4):20-37.
[5] LIN Q,BURDICK J W,RIMON E. Computation and analysis of compliance in grasping and fixturing[C]//Proc. of IEEE International Conference of Robotics and Automation,1997,New Mexico,USA. 1997:93-99.
[6] 杨洋. 多指灵巧手的抓持和运动规划及其灵巧性设计[D]. 北京:北京航空航天大学,1996. YANG Yang. Grasping operation,motion planning and dexterity design of dexterous robot hand[D]. Beijing:Beihang University,1996.
[7] DENG H,MELKOTE S N. Determination of minimum clamping forces for dynamically stable fixturing[J]. International Journal of Machine Tools & Manufacture,2006,46(7-8):847-857.
[8] YAO S,CECCARELLI M,ZHAN Q,et al. Analysis and design of a modular underactuated mechanism for robotic fingers[J]. Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2012:242-256.
[9] BIRGLEN L. Optimally unstable underactuated gripper:synthesis and applications[C]//ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference,2006,Philadelphia,USA. 2006:3-11.
[10] BEGOC V,DURAND C,KRUT S,et al. On the form-closure capability of robotic underactuated hands[C]//IEEE International Conference on Control,Automation,Robotics and Vision,2006,Singapore. 2006:1-8.
[11] KRUT S,BASTIEN,GOC V,et al. Extension of the form-closure property to underactuated hands[J]. IEEE Transactions on Robotics,2010,26(5):853-866.
[12] KRUT S,BÉGOC V. A simple design rule for 1st order form-closure of underactuated hands[J]. Mechanical Sciences,2011,2(1):1-8.
[13] CHU Z,HU J,LU S. Evaluation of spring stiffness for stable grasp in underactuated fingers[C]//Mechanism and Machine Science Proceedings of ASIAN MMS 2016& CCMMS 2016,Springer Singapore. doi:org/10.1007/978-981-10-2875-5_6.
[14] KRAGTEN G A,HELM F C T V D,HERDER J L. A planar geometric design approach for a large grasp range in underactuated hands[J]. Mechanism & Machine Theory,2011,46(8):1121-1136.
[15] CIOCARLIE M,ALLEN P. A constrained optimization framework for compliant underactuated grasping[J]. Mechanical Sciences,2011,2(1):17-26.
[16] MA R R,SPIERS A,DOLLAR A M. M2 gripper:extending the dexterity of a simple,underactuated gripper Advances in Reconfigurable Mechanisms and Robots Ⅱ[M]. Switzerland:Springer International Publishing,2016.
[17] ODHNER L U,JENTOFT L P,CLAFFEE M R,et al. A compliant,underactuated hand for robust manipulation[J]. International Journal of Robotics Research,2014,33(5):736-752.
[18] ODHNER L U,DOLLAR A M. Stable,open-loop precision manipulation with underactuated hands[M]. California:Sage Publications,Inc,2015.
[19] ROCCHI A,AMES B,LI Z,et al. Stable simulation of underactuated compliant hands[C]//IEEE International Conference on Robotics and Automation,2016,Stockholm,Sweden,2016:4938-4944.
[20] BIRGLEN L,GOSSELIN C M. Grasp-state plane analysis of two-phalanx underactuated fingers[J]. Mechanism & Machine Theory,2006,41(7):807-822.
[21] YAO S,CECCARELLI M,ZHAN Q,et al. Design considerations for underactuated finger mechanism[J]. Chinese Journal of Mechanical Engineer,2009,22(4):475-488.
[22] JEN F,SHOHAM M,LONGMAN R W. Liapunov stability of force-controlled grasps with a multi-fingered hand[J]. The International Journal of Robotics research 1996,V15(2):137-145.