Design Innovation Paper

Design and Modeling of a Large Amplitude Compliant Revolute Joint: The Helical Shape Compliant Joint

[+] Author and Article Information
Arnaud Bruyas

AVR – Icube,
INSA Strasbourg,
University of Strasbourg,
Strasbourg 67081, France
e-mail: a.bruyas@unistra.fr

Francois Geiskopf

AVR – Icube,
INSA Strasbourg,
University of Strasbourg,
Strasbourg 67081, France
e-mail: francois.geiskopf@insa-strasbourg.fr

Pierre Renaud

AVR – Icube,
INSA Strasbourg,
University of Strasbourg,
Strasbourg 67081, France
e-mail: pierre.renaud@insa-strasbourg.fr

1Corresponding author.

Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received December 19, 2014; final manuscript received May 4, 2015; published online June 16, 2015. Assoc. Editor: Oscar Altuzarra.

J. Mech. Des 137(8), 085003 (Aug 01, 2015) (8 pages) Paper No: MD-14-1810; doi: 10.1115/1.4030650 History: Received December 19, 2014; Revised May 04, 2015; Online June 16, 2015

In this paper, the design and modeling of a large amplitude compliant revolute joint are introduced. Based on the implementation of multimaterial additive manufacturing (MM-AM), the joint is of interest for robotic contexts where the design of compact and accurate compliant mechanisms is required. The joint design is first experimentally proven to offer a large range of motion and satisfying kinetostatic properties. A parametric study is then conducted using numerical simulation to define the most interesting geometries. An experimental study is in a third step presented to estimate the rotational stiffness, including the manufacturing impact. A stiffness model is provided for relevant geometries, and their use is finally discussed in the context of compliant mechanism design.

Copyright © 2015 by ASME
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Clark, J. E., Cham, J., Bailey, S. A., Froehlich, E. M., Nahata, P. K., Full, R. J., and Cutkosky, M. R., 2001, “Biomimetic Design and Fabrication of a Hexapedal Running Robot,” IEEE International Conference on Robotics and Automation, pp. 3643–3649.
Wood, R. J., 2008, “The First Takeoff of a Biologically Inspired At-Scale Robotic Insect,” IEEE Trans. Rob., 24(2), pp. 341–347. [CrossRef]
Vogtmann, D. E., Gupta, S. K., and Bergbreiter, S., 2013, “Characterization and Modeling of Elastomeric Joints in Miniature Compliant Mechanisms,” ASME J. Mech. Rob., 5(4), p. 041017. [CrossRef]
Elhawary, H., Tse, Z. T. H., Hamed, A., Rea, M., Davies, B. L., and Lamperth, M. L., 2008, “The Case for MR-Compatible Robotics: A Review of the State of the Art,” Int. J. Med. Rob. Comput. Assisted Surg., 4(2), pp. 105–113. [CrossRef]
Abdelaziz, S., Esteveny, L., Barbé, L., Renaud, P., Bayle, B., and De Mathelin, M., 2014, “Design of a Magnetic Resonance Imaging-Compatible Cable-Driven Manipulator With New Instrumentation and Synthesis Methods,” ASME J. Mech. Des., 136(9), pp. 105–113. [CrossRef]
Bruyas, A., Geiskopf, F., Meylheuc, L., and Renaud, P., 2014, “Combining Multi-Material Rapid Prototyping and Pseudo-Rigid Body Modeling for a New Compliant Mechanism,” IEEE International Conference on Robotics and Automation, pp. 3390–3396.
Trease, B. P., Moon, Y., and Kota, S., 2005, “Design of Large-Displacement Compliant Joints,” ASME J. Mech. Des., 127(4), pp. 788–798. [CrossRef]
Lobontiu, N., 2010, Compliant Mechanisms: Design of Flexure Hinges, CRC Press, Boca Raton, FL.
Berselli, G., Piccinini, M., and Vassura, G., 2011, “Comparative Evaluation of the Selective Compliance in Elastic Joints for Robotic Structures,” IEEE International Conference on Robotics and Automation, pp. 4626–4631.
Mirth, J., 2014, “An Examination of Trispiral Hinges Suitable for Use in ABS-Based Rapid Prototyping of Compliant Mechanisms,” ASME Paper No. DETC2014-34075. [CrossRef]
Cutkosky, M. R., and Kim, S., 2009, “Design and Fabrication of Multi-Material Structures for Bioinspired Robots,” Phil. Trans. R. Soc. A, 367(1894), pp. 1799–1813. [CrossRef]
Vogtmann, D. E., Gupta, S. K., and Bergbreiter, S., 2011, “Multi-Material Compliant Mechanisms for Mobile Millirobots,” IEEE International Conference on Robotics and Automation, pp. 3169–3174.
Wood, R. J., Avadhanula, S., Sahai, R., Steltz, E., and Fearing, R., 2008, “Microrobot Design Using Fiber Reinforced Composites,” ASME J. Mech. Des., 130(5), p. 052304. [CrossRef]
Rajkowski, J., 2010, “Rapid Polymer Prototyping for Low Cost and Robust Microrobots Master Thesis,” Ph.D. thesis, University of Maryland, College Park, MD.
Gallego, J. A., and Herder, J., 2009, “Synthesis Methods in Compliant Mechanisms: An Overview,” ASME International Design and Engineering Technical Conference, pp. 193–214.
Berglund, M. D., Magleby, S. P., and Howell, L. L., 2000, “Design Rules for Selecting and Designing Compliant Mechanisms for Rigid-Body Replacement Synthesis,” ASME International Design and Engineering Technical Conference, pp. 233–242.
Howell, L. L., and Midha, A., 1994, “A Method for the Design of Compliant Mechanisms With Small-Length Flexural Pivots,” ASME J. Mech. Des., 116(1), pp. 280–290. [CrossRef]
Yong, Y. K., Lu, T. F., and Handley, D. C., 2008, “Review of Circular Flexure Hinge Design Equations and Derivation of Empirical Formulations,” Precis. Eng., 32(2), pp. 63–70. [CrossRef]
Moon, Y., Trease, B. P., and Kota, S., 2002, “Design of Large-Displacement Compliant Joints,” ASME Paper No. DETC2002/MECH-34207. [CrossRef]
Bruyas, A., Geiskopf, F., and Renaud, P., 2014, “Towards Statically Balanced Compliant Joints Using Multimaterial 3D Printing,” ASME Paper No. DETC2014-34532. [CrossRef]
Berselli, G., Guerra, A., Vassura, G., and Andrisano, A. O., 2014, “An Engineering Method for Comparing Selectively Compliant Joints in Robotic Structures,” IEEE/ASME Trans. Mechatronics, 19(6), pp. 1882–1895. [CrossRef]
Boyce, M. C., and Arruda, E. M., 2000, “Constitutive Models of Rubber Elasticity: A Review,” Rubber Chem. Technol., 73(3), pp. 504–523. [CrossRef]
Howell, L. L., 2001, Compliant Mechanisms, Wiley-IEEE, New York.
Montgomery, D. C., 2008, Design and Analysis of Experiments, 7th ed., Wiley, New York.
Piegl, L., and Tiller, W., 1995, Curve and Surface Basics, The NURBS Book, Springer-Verlag, New York.


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Fig. 1

Construction of the HSC joint: (a) parameters of the compliant profile, (b) several cross sections of the helical sweep of the profile, (c) helical sweep of the profile over two helices with opposite pitches, and (d) final design of the HSC joint. Mat. A designates a rigid material, and Mat. B an elastomer.

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Fig. 2

Prototype of the HSC joint, with an overall length of 20 mm

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Fig. 3

Tension (plain lines) and compression (dashed lines) tests performed on the HSC joint to evaluate the value of c11, c22, and c33

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Fig. 4

(a) Experimental setup for the evaluation of the value of c66 and (b) close-up on the dedicated specimen

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Fig. 5

Results of the experimental evaluation of the value of c66 over the range of motion

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Fig. 8

Results of the tests performed on six different geometries. For each of them, the experimental results (curves with crosses) are represented on the diagram with the fitted model (plain curve) and the values of the responses y1, y2, and y3.

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Fig. 7

Tests performed to measure the variability induced by the uncontrollable factors. The mean and boundary curves are computed using the mean values and standard deviations of (y1, y2, y3). The other curves represent the models fitted on the experimental data.

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Fig. 6

Experimental result (plain line with dots) and construction of the moment-angle relationship f (plain curve) for a test performed in the middle of the parameter domain (p = 12.5 mm, α = 60 deg)




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