Abstract
Taking the cue from two recent papers, Fraternali et al. (J Mech Phys Solids 60:1137–1144, 2012), and Fraternali et al. (Appl Phys Lett 105:201903, 2014), we sample numerically the impulsive dynamics of chains consisting of T3 tensegrity modules. We concentrate on illustrating the effects of the kinetic coupling between axial strain and twist, a distinguishing feature of T3 modules that was switched off in the cited papers; in addition, we demonstrate by examples that another feature of T3 modules, their ‘handedness’, induces certain peculiar behaviors in chains made of both left-handed and right-handed modules. In our study, we consider a number of T3 chains, different in composition and subject to various end conditions.
Similar content being viewed by others
Notes
The effect of various types of damping on a harmonically forced T3 has been analyzed in [11]. One of the findings is that, in small-amplitude motions, the dependence of damping on the cables’ rate of elongation is negligible, whereas the dependence on the angles’ rate of change is not. In [15], the same problem has been considered, although under different assumptions; nonlinear effects and regimes of chaotic motion have been observed, similar to those of a Duffing oscillator.
References
Fraternali F, Senatore L, Daraio C (2012) Solitary waves on tensegrity lattices. J Mech Phys Solids 60:1137–1144
Fraternali F, Carpentieri G, Amendola A, Skelton RE, Nesterenko VF (2014) Multiscale tunability of solitary wave dynamics in tensegrity metamaterials. Appl Phys Lett 105:201903
Friesecke G, Matthies K (2002) Atomic-scale localization of high-energy solitary waves on lattices. Physica D 171:211–220
Friesecke G, Wattis J (1994) Existence theorem for solitary waves on lattices. Commun Math Phys 161:391–418
Friesecke G, Pego R (1999) Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit. Nonlinearity 12:1601–1627
Daraio C, Nesterenko VF, Herbold E, Jin S (2006) Energy trapping and shock disintegration in a composite granular medium. Phys Rev Lett 96:058002
Ingber DE, Stamenovic D (2014) Tensegrity, cellular biophysics, and the mechanics of living systems. J Rep Prog Phys 77:046603
Micheletti A, Williams WO (2007) A marching procedure for form-finding for tensegrity structures. J Mech Mat Struct 2:857–882
Micheletti A (2013) Bistable regimes in an elastic tensegrity structure. Proc Royal Soc A 469:20130052
Oppenheim IJ, Williams WO (2000) Geometric effects in an elastic tensegrity structure. J Elast 59:51–65
Oppenheim IJ, Williams WO (2001) Vibration of an elastic tensegrity structure. Eur J Mech A 20:1023–1031
Paul C, Valero-Cuevas FJ (2006) Design and control of tensegrity robots for locomotion. IEEE Trans Robot 22:944–957
dos Santos FA, Rodrigues A, Micheletti A (2015) Design and experimental testing of an adaptive shape-morphing tensegrity structure, with frequency self-tuning capabilities, using shape-memory alloys. Smart Mater Struct 24:105008
Skelton RE, de Oliveira MC (2010) Tensegrity systems. Springer, Berlin
Silvestrini A (2004) Dynamics of a three-dimensional tensegrity system (in Italian), MS Thesis, Dipartimento di Ingegneria Civile, Università di Tor Vergata, Roma, Italia
Sultan C, Skelton R (2004) A force and torque tensegrity sensor. Sens Actuators A 112:220–231
Sultan C, Skelton R (2003) Deployment of tensegrity structures. Int J Solids Struct 40:4637–4657
Sultan C (2009) Tensegrity: 60 years of art, science, and engineering. Adv Appl Mech 43:69–145
Tibert AG, Pellegrino S (2002) Deployable tensegrity reflectors for small satellites. J Spacecr Rockets 39:701–709
Volokh KY, Vilnay O, Belsky M (2000) Tensegrity architecture explains linear stiffening and predicts softening of living cells. J Biomech 33:1543–1549
Zolesi VS, Ganga PL, Scolamiero L, Micheletti A, Podio-Guidugli P, Tibert AG, Donati A, and Ghiozzi M (2012) On an innovative deployment concept for large space structures. In: Proceedings of 42nd international conference on environmental systems (ICES), (AIAA) 2012–3601
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to the memory of Francesco Benedettini.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Davini, C., Micheletti, A. & Podio-Guidugli, P. On the impulsive dynamics of T3 tensegrity chains. Meccanica 51, 2763–2776 (2016). https://doi.org/10.1007/s11012-016-0495-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11012-016-0495-y