Theoretical and experimental analysis of jamming of workpiece in the fixture by using the block and palm study

Authors

Faculty of Mechanical and Mechatronics Engineering, Shahrood University of Technology, Shahrood, Iran

Abstract

Jamming of workpiece in the fixture is an unwanted phenomenon which usually occurs during its loading or unloading processes. Investigating the conditions of the jamming occurrence and determining the conditions in which jamming would not occur, are considered as the important steps in the verification stage of the fixture design procedure. In this paper, analytical and experimental analysis is conducted for studying the jamming occurrence conditions using the block and palm study. Theoretical model is established based on the minimum norm principle. The proposed theoretical models in the previous studies which investigated the jamming phenomenon in the quasi-static conditions are also incorporated. Experiments are also designed and implemented for validation of the theoretical predictions. For this purpose, experimental setup is designed and fabricated for the block and palm case study. After measurement of the coefficient of friction between the block, base plate and pal, the jamming-in travel of block (distance in which jamming occurred) is then measured using a rotary encoder and the image processing techniques. The worst-case error equal to 6.8mm (equivalent to 3.8%) is obtained for the jamming-in travel of block between the theoretical predictions and experimental results which indicated the accuracy of the suggested theoretical model.

Keywords


[1] Trinkle JC, Yeap SL, Han L (1996) When quasistatic jamming is impossible. Proc IEEE Int Conf Robot Autom Minneapolis USA, 3401-3406.
[2] Pang JS, Trinkle JC, Lo G (1996) A complementarity approach to a quasistatic multi-rigid-body contact problem. Comput Optim Appl 5(2): 139-154.
[3] Balkcom DJ, Trinkle JC (2002) Computing wrench cones for planar rigid body contact tasks. Int J Robot Res 21(12): 1053-1066.
[4] Liu T, Wang MY (2005) Computation of three-dimensional rigid-body dynamics with multiple unilateral contacts using time-stepping and Gauss-Seidel methods, IEEE T Autom Sci Eng 2(1): 19-31.
[5] Liu T, Wang MY, Low KH (2009) Non-jamming conditions in multi-contact rigid-body dynamics. Multibody Sys Dyn 22(2): 269-295.
[6] Flickinger DM, Williams J, Trinkle JC (2014) Performance of a method for formulating geometrically exact complementarity constraints in multibody dynamic simulation. J Comput Nonlinear Dyn 10(1): 1-12.
[7] Stewart D, Trinkle JC (1996) An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and coulomb friction. Int J Numer Methods Eng 39(15): 2673-2691.
[8] Stewart D, Trinkle JC (2000) Implicit time-stepping scheme for rigid body dynamics with coulomb friction. Proc IEEE Int Conf Robot Autom San Francisco USA, 162-169.
[9] Parvaz H, Nategh MJ (2016) Development of an efficient method of jamming prediction for designing locating systems in computer-aided fixture design. Int J Adv Manuf Tech 86(9-12): 2459-2471.
[10] Parvaz H (2019) Theoretical and numerical investigation of workpiece jamming in fixture using block and palm case study. Iran J Manuf Eng 6(3): 20-27.
[11] Clark JP, Lentini G, Barontini F, Catalano MG, Bianchi M, O’Malley MK (2019) On the role of wearable haptics for force feedback in teleimpedance control for dual-arm robotic teleoperation. Proc Int Conf Robot Autom Montreal Canada 5187-5193.
[12] Zhang F, Qu J, Liu H, Fu Y (2019) A multi-priority control of asymmetric coordination for redundant dual-arm robot. Int J Human Robot 16(2): 1-25.
[13] Du F, Wen K, Yu H (2019) A self-adaptive alignment strategy for large components based on dynamic compliance center. Assem Autom 39(2): 345-355.
[14] Liu Z, Song L, Hou Z, Chen K, Liu S, Xu J (2019) Screw insertion method in peg-in-hole assembly for axial friction reduction. IEEE Access 7: 13-25.
[15] Kim CH, Seo J (2019) Shallow-depth insertion: peg in shallow hole through robotic in-hand manipulation. IEEE Robot Autom Letter 4(2): 383-390.
[16] Zhang K, Xu J (2017) Force control for a rigid dual peg-in-hole assembly. Assem Autom 37(2): 200–207.
[17] Zhang K, Xu J, Chen H, Zhao J, Chen K (2018)  Jamming analysis and force control for flexible dual peg-in-hole assembly. IEEE T Ind Elec 66(3): 1930–1939.
[18] Huang Y, Zhang X, Chen X, Ota J (2017) Vision-guided peg-in-hole assembly by Baxter robot. Adv Mech Eng 9(12): 1-9.
[19] Hou Z, Philipp M, Zhang K, Guan Y, Chen K, Xu J (2018) The learning-based optimization algorithm for robotic dual peg-in-hole assembly. Assem Autom 38(4): 369-375.
[20] Satyanarayana S, Melkote S (2004) Finite element modeling of fixture–workpiece contacts: single contact modeling and experimental verification. Int J Mach Tool Manuf 44(9): 903-913.