Technical Papers
Apr 25, 2017

Joint Friction during Deployment of a Near-Full-Scale Tensegrity Footbridge

Publication: Journal of Structural Engineering
Volume 143, Issue 9

Abstract

Most deployable structures, such as operable roofs and masts, move over one degree of freedom. This paper describes a structure that involves loosely coupled movement over several degrees of freedom. Analysis models of these structures are typically inaccurate. A source of inaccuracy is joint friction. Static and kinetic friction are studied experimentally and analytically. Simulations have been modified to account for these effects, and two methods are used to quantify friction effects. Friction has a significant effect on the movement of the tensegrity structure. Of two candidate parameters, cable tension and interior cable angle, cable angle is the factor that best characterizes friction effects. Values of static and kinetic friction coefficients are not significantly different in this context, and this leads to a reduction in the complexity of the friction model for simulation. Including friction effects in analysis decreases the difference between simulations and tests. Lastly, strut elements of the tensegrity structure are most critically affected by friction.

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Acknowledgments

The research is sponsored by the Swiss National Science Foundation under project number 20020_144305. The authors wish to express thanks to N. Bel Hadj Ali, J. F. Molinari, and N. Veuve for fruitful discussions and S. Despont for help with the design of the friction test.

References

Adam, B., and Smith, I. F. C. (2007). “Self-diagnosis and self-repair of an active tensegrity structure.” J. Struct. Eng., 1752–1761.
Aldrich, J. B., and Skelton, R. E. (2003). “Control/structure optimization approach for minimum-time reconfiguration of tensegrity systems.” Smart Structures and Materials 2003: Modeling, Signal Processing, and Control, R. C. Smith, ed., SPIE, San Diego, 448–459.
Amontons, G. (1706). “De la resistance causée dans les machines.” Mémoires de l’Académie Royale, A, Chez Gerard Kuyper, Amsterdam, Netherlands, 257–282 (in French).
Barnes, M. R., Adriaenssens, S., and Krupka, M. (2013). “A novel torsion/bending element for dynamic relaxation modeling.” Comput. Struct., 119(12), 60–67.
Bel Hadj Ali, N., Motro, R., and Smith, I. F. C. (2012). “Design aspects of a deployable tensegrity-hollow rope footbridge.” Int. J. Space Struct., 27(2–3), 81–95.
Bel Hadj Ali, N., Rhode-Barbarigos, L., and Smith, I. F. C. (2011). “Analysis of clustered tensegrity structures using a modified dynamic relaxation algorithm.” Int. J. Solids Struct., 48(5), 637–647.
Borghesan, G., Palli, G., and Melchiorri, C. (2011). “Friction compensation and virtual force sensing for robotic hands.” Proc., IEEE Int. Conf. on Robotics and Automation, IEEE, Piscataway, NJ, 4756–4761.
Cully, A., Clune, J., Tarapore, D., and Mouret, J. B. (2015). “Robots that can adapt like animals.” Nature, 521(7553), 503–507.
Ding, X., and Li, X. (2015). “Design of a type of deployable/retractable mechanism using friction self-locking joint units.” Mech. Mach. Theory, 92, 273–288.
Domer, B., and Smith, I. F. C. (2005). “An active structure that learns.” J. Comput. Civ. Eng., 16–24.
Fest, E., Shea, K., and Smith, I. F. C. (2004). “Active tensegrity structure.” J. Struct. Eng., 1454–1465.
Gantes, C. J., Connor, J. J., Logcher, R. D., and Rosenfeld, Y. (1989). “Structural analysis and design of deployable structures.” Comput. Struct., 32(3–4), 661–669.
Hincz, K. (2009). “Nonlinear analysis of cable net structures suspended from arches with block and tackle suspension system, taking into account the friction of the pulleys.” Int. J. Space Struct., 24(3), 143–152.
Hongbo, L., and Zhihua, C. (2012). “Influence of cable sliding on the stability of suspen-dome with stacked arches structures.” Adv. Steel Constr., 8(1), 54–70.
Ijspeert, A. J. (2014). “Biorobotics: Using robots to emulate and investigate agile locomotion.” Science, 346(6206), 196–203.
Kmet, S., Platko, P., and Mojdis, M. (2012). “Analysis of adaptive light-weight structures.” Procedia Eng., 40(7), 199–204.
Korkmaz, S. (2011). “A review of active structural control: Challenges for engineering informatics.” Comput. Struct., 89(23–24), 2113–2132.
Li, J., Yan, S., Guo, F., and Guo, P. (2013). “Effects of damping, friction, gravity, and flexibility on the dynamic performance of a deployable mechanism with clearance.” Proc., Inst. Mech. Eng. Part C: J. Mech. Eng. Sci., 227(8), 1791–1803.
Lima, R., and Sampaio, R. (2015). “Stick-mode duration of a dry-friction oscillator with an uncertain model.” J. Sound Vibr., 353(5), 259–271.
Lobo, D., and Vico, F. (2010). “Evolutionary development of tensegrity structures.” BioSystems, 101(3), 167–176.
Lubarda, V. A. (2014). “The mechanics of belt friction revisited.” Int. J. Mech. Eng. Educ., 42(2), 97–112.
MAX (Measurement and Automation Explorer) [Computer software]. National Instruments, Austin, TX.
Motro, R. (2011). “Structural morphology of tensegrity systems.” Meccanica, 46(1), 27–40.
Motro, R., Maurin, B., and Silvestri, C. (2006). “Tensegrity rings and the hollow rope.” IASS Symp. on New Olympics, New Shells and Spatial Structures, IASS, Madrid, Spain.
Palli, G., and Melchiorri, C. (2014). “Friction compensation techniques for tendon-driven robotic hands.” Mechatronics, 24(2), 108–117.
Pellegrino, S. (2001). Deployable structures, Springer, Vienna, Austria.
Pellegrino, S., and Calladine, C. (1986). “Matrix analysis of statically and kinematically indeterminate frameworks.” Int. J. Solids Struct., 22(4), 409–428.
Rhode-Barbarigos, L., Bel Hadj Ali, N., Motro, R., and Smith, I. F. (2010). “Designing tensegrity modules for pedestrian bridges.” Eng. Struct., 32(4), 1158–1167.
Rhode-Barbarigos, L., Schulin, C., Bel Hadj Ali, N., Motro, R., and Smith, I. F. C. (2012). “Mechanism-based approach for the deployment of a tensegrity-ring module.” J. Struct. Eng., 539–548.
Schenk, M., Guest, S., and Herder, J. (2007). “Zero stiffness tensegrity structures.” Int. J. Solids Struct., 44(20), 6569–6583.
Shaw, M. C. (1966). Metal cutting principles, Vol. 1, Oxford University Press, New York.
Snelson, L. (1996). “The art of tensegrity.” Int. J. Space Struct., 11(1–2), 43–48.
Stohlman, O., and Pellegrino, S. (2010). “Shape accuracy of a joint-dominated deployable mast.” Structural Dynamics and Materials Conf., AIAA, Reston, VA, 1–15.
Sultan, C. (2014). “Tensegrity deployment using infinitesimal mechanisms.” Int. J. Solids Struct., 51(21–22), 3653–3668.
Sultan, C., and Skelton, R. (2003). “Deployment of tensegrity structures.” Int. J. Solids Struct., 40(18), 4637–4657.
Vadivuchezhian, K., Sundar, S., and Murthy, H. (2011). “Effect of variable friction coefficient on contact tractions.” Tribol. Int., 44(11), 1433–1442.
Veuve, N., Safaei, S. D., and Smith, I. F. C. (2015). “Deployment of a tensegrity footbridge.” J. Struct. Eng., .
Wang, D., Zhang, D., Mao, X., Peng, Y., and Ge, S. (2015). “Dynamic friction transmission and creep characteristics between hoisting rope and friction lining.” Eng. Fail. Anal., 57(10), 499–510.
Wit, C. C. D., Olsson, H., Member, S. J. K., Lischinsky, P., Canudas De Wit, C., and Aström, K. J. (1995). “A new model for control of systems with friction.” IEEE Trans. Autom. Control, 40(3), 419–425.

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Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 143Issue 9September 2017

History

Received: Nov 2, 2015
Accepted: Feb 13, 2017
Published online: Apr 25, 2017
Published in print: Sep 1, 2017
Discussion open until: Sep 25, 2017

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Authors

Affiliations

Ph.D. Student, Applied Computing and Mechanics Laboratory, School of Architecture, Civil and Environmental Engineering, Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland (corresponding author). ORCID: https://orcid.org/0000-0003-4000-6362. E-mail: [email protected]
Ian F. C. Smith, F.ASCE
Professor, Applied Computing and Mechanics Laboratory, School of Architecture, Civil and Environmental Engineering, Swiss Federal Institute of Technology, CH-1015 Lausanne, Switzerland.

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