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Design and modeling of a series–parallel compliant device for reliable assembly during a position or angle deviation

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Abstract

Automatic assembly using manipulators has lately attracted increased attention due to its low cost and high quality. Since a manipulator is entirely rigid, position or angle deviations often cause assembly failure or even cause damage to the manipulator. A series–parallel compliant device that did not produce a significant contact force was developed during this study to achieve reliable assembly when position or angle deviations occurred. The primary objective for this device was for it to be compliant enough to effectively counteract contact forces and move in a specific direction. The device allowed for a relatively significant misalignment during assembly, and it produced a small force, which protected parts and manipulators. It had two compliant components that were connected using a rigid block. Each compliant component consisted of a rigid frame, four elastic limbs with similar “n” shapes, and a square block. Because an elastic material was used, each elastic limb was equivalent to a compliant hinge (or spring), essentially making the device a series–parallel compliant structure. In this way, the device became compliant and could move in a particular direction when the contact force exceeded a specific value. On this basis, the desired compliance of the device was obtained in all directions depending on the compliant deformation, and an optimization method was proposed to determine the parameters of this device based on the kinematic model and a stiffness analysis. Experiments were performed at different working conditions, and their results demonstrate that this device performed reliably during assembly even when a position deviation or an angle deviation occurred.

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References

  1. Liu S, Xu D, D, P. Zhang, and Z. T. Zhang, (2016) High precision automatic assembly based on microscopic vision and force information. IEEE Trans Autom Sci Eng 13(1):382–393

    Article  Google Scholar 

  2. Takahashi J, Fukukawa T, Fukuda T (2016) Passive alignment principle for robotic assembly between a ring and a shaft with extremely narrow clearance. IEEE/ASME Trans Mechatron 21:196–204

    Google Scholar 

  3. Ma X, Wu D, Gao Y (2018) An approach to countersink depth control in the drilling of thin-wall stacked structures with low stiffness. Int J Adv Manuf Technol 95:785–795

    Article  Google Scholar 

  4. Vidrios-Serrano C, Mendoza M, Bonilla I (2021) A generalized vision-based stiffness controller for robot manipulators with bounded inputs. Int J Control Autom Syst 19:548–561

    Article  Google Scholar 

  5. Peng J, Ding S, Yang Z (2020) Adaptive neural impedance control for electrically driven robotic systems based on a neuro-adaptive observer. Nonlinear Dyn 100:1359–1378

    Article  Google Scholar 

  6. Lakshminarayanan S, Kana S, Mohan DM (2021) An adaptive framework for robotic polishing based on impedance control. Int J Adv Manuf Technol 112:401–417

    Article  Google Scholar 

  7. Liu L, Leonhardt S, Ngo C, Misgeld BJE (2020) Impedance-controlled variable stiffness actuator for lower limb robot applications. IEEE Trans Autom Sci Eng 17:991–1004

    Article  Google Scholar 

  8. Izadbakhsh A, Khorashadizadeh S, Ghandali S (2020) Robust adaptive impedance control of robot manipulators using Szász-Mirakyan operator as universal approximator. ISA Trans 106:1–11

    Article  Google Scholar 

  9. Kumar N, Rani M (2021) Neural network-based hybrid force/position control of constrained reconfigurable manipulators. Neurocomputing 420:1–14

    Article  Google Scholar 

  10. Zhang H, Li L, Zhao, (2021) The hybrid force/position anti-disturbance control strategy for robot abrasive belt grinding of aviation blade base on fuzzy PID control. Int J Adv Manuf Technol 114:3645–3656

    Article  Google Scholar 

  11. Baspinar C (2020) Robust position/force control of constrained flexible joint robots with constraint uncertainties. J Intell Robot Syst 100:945–954

    Article  Google Scholar 

  12. Peng F, Wen H, Zhang C, Xu B, Li J, Su H (2020) Adaptive robust force position control for flexible active prosthetic knee using gait trajectory. Appl Sci 10(8):2755

    Article  Google Scholar 

  13. Peidró A, Tavakoli M (2019) Design of compact switchable magnetic grippers for the HyReCRo structure-climbing robot. Mechatronics 59:199–212

    Article  Google Scholar 

  14. Xing D, Liu F, Liu S, Xu D (2019) Efficient insertion of partially flexible objects in precision assembly. IEEE Trans Autom Sci Eng 16:706–715

    Article  Google Scholar 

  15. Rosati G, Minto S, Oscari F (2017) Design and construction of a variable aperture gripper for flexible automated assembly. Robot. Comput Integr Manuf 48:157–166

    Google Scholar 

  16. Chen H, Wang J, Zhang G (2009) High-precision assembly automation based on robot compliance. Int J Adv Manuf Technol 45:999

    Article  Google Scholar 

  17. Sturges RH, Laowattana S Jr (1996) Design of an orthogonal compliance for polygonal peg insertion. ASME J Mech 118:106–114

  18. Haskiya W, Qiao H, Knight JAG (1998) A passive compliant wrist for chamfer-less peg-in-hole assembly operation from vertical and horizontal directions. Proceedings of the Institute of Mechanical Engineers 212:473–478

    Article  Google Scholar 

  19. Haskiya W, Maycock K, Knight J (1999) Robotic assembly: chamfer-less peg-hole assembly. Robotica 17:621–634

    Article  Google Scholar 

  20. Callegari M, Palpacelli M, Principi M (2006) Dynamics modelling and control of the 3-RCC translational platform. Mechatronics 16:589–605

    Article  Google Scholar 

  21. Kim HS, Dong IP, Chan HP (2016) Variable passive compliance device for robotic assembly. Journal of the Korean Society of Manufacturing Technology Engineers 25(6):517–521

    Article  Google Scholar 

  22. Kronander K, Billard A (2016) Stability considerations for variable impedance control. IEEE Trans Rob 32(5):1298–1305

    Article  Google Scholar 

  23. Liu S, Xing D, Li Y, Zhang J, Xu D (2019) Robust insertion control for precision assembly with passive compliance combining vision and force information. IEEE/ASME Trans Mechatron 24:1974–1985

    Article  Google Scholar 

  24. Xing D, Liu X, Liu F, Xu D (2021) Efficient insertion strategy for precision assembly with uncertainties using a passive mechanism. IEEE Trans Ind Inform 17(2):1263–1273

  25. Chen G, Zhang Z, Kong L, Wang H (2019) Analysis and validation of a flexible planar two degrees-of-freedom parallel manipulator with structural passive compliance. ASME.J. Mech Robot 12(1):011011

  26. Rahman SMM, Wang Y (2018) Mutual trust-based subtask allocation for human–robot collaboration in flexible lightweight assembly in manufacturing. Mechatronics 54:94–109

    Article  Google Scholar 

  27. Dai JS, Ding X (2006) Compliance analysis of a three-legged rigidly-connected platform device. ASME J Mech Des 128(4):55–764

    Google Scholar 

  28. Khavandi Khiavi A, Mohammadi H (2018) Multi-objective optimization in pavement management system using NSGA-II method. Journal of Transportation Engineering Part B Pavements 144(2):04018016

    Article  Google Scholar 

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Funding

This work was partially supported by the National Key R & R&D Program of China (2018YFB1308202), National Natural Science Foundation of China (52075556), and the Key R&D Program of Hunan Province (2021SK2016), and the Science and Technology Innovation Program of Hunan Province (2020GK4097).

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Du Xu provided the design idea and conducted the experimental tests. Prof. Lu was a major contributor in writing the manuscript and provided valuable suggestions for the experiments and sorting of the whole article. All authors read and approved the final manuscript.

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Correspondence to XinJiang Lu.

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Xu, D., Lu, X. Design and modeling of a series–parallel compliant device for reliable assembly during a position or angle deviation. Int J Adv Manuf Technol 119, 6535–6547 (2022). https://doi.org/10.1007/s00170-021-08417-0

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  • DOI: https://doi.org/10.1007/s00170-021-08417-0

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