Design and Health Monitoring of Tensegrity Structures: An Overview

  • Neha AswalEmail author
  • Subhamoy Sen
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


Tensegrity structures can be defined as structural mechanisms having separate tension and compression members, where compression members are discontinuous and float in a network of tension members. Before incorporating tensegrity into major construction works, stability and safety of tensegrity as a structure has to be studied and scrutinized properly. Being a recent design philosophy, there are not many elaborate literature reviews available on tensegrity structures pertaining to the field of civil engineering. This paper aims to bring together most of the research works done in design as well as health monitoring of tensegrity structures. So far, they have found practical application in stadium roofs, domes and bridges having demand of large column-free spaces. The studies relevant to design procedures involving form finding, structural stability and load analysis have been discussed. Very few researches, focusing on health monitoring of tensegrities, are available, which have also been discussed, thereafter highlighting the need of more research work in this field.


Form finding Load analysis Overview Structural health monitoring Structural stability Tensegrity structures 


  1. 1.
    K. Snelson, Tensegrity Masts (Shelter Publication, Bolinas, CA, 1973)Google Scholar
  2. 2.
    R.B. Fuller, Tensile-integrity structures, U.S. Patent 3,063,521, issued November 13, 1962Google Scholar
  3. 3.
    G. Tibert, Deployable tensegrity structures for space applications, Ph.D. dissertation, KTH (2002)Google Scholar
  4. 4.
    W. Gilewski, J. Kłosowska, P. Obara, Applications of tensegrity structures in civil engineering. Proc. Eng. 111, 242–248 (2015)CrossRefGoogle Scholar
  5. 5.
    S.M.L. Adriaenssens, M.R. Barnes, Tensegrity spline beam and grid shell structures. Eng. Struct. 23(1), 29–36 (2001)CrossRefGoogle Scholar
  6. 6.
    J. Quirant, M.N. Kazi-Aoual, R. Motro, Designing tensegrity systems: the case of a double layer grid. Eng. Struct. 25(9), 1121–1130 (2003)CrossRefGoogle Scholar
  7. 7.
    K. Kebiche, M.N. Kazi-Aoual, R. Motro, Geometrical non-linear analysis of tensegrity systems. Eng. Struct. 21(9), 864–876 (1999)CrossRefGoogle Scholar
  8. 8.
    H.C. Tran, J. Lee, Geometric and material nonlinear analysis of tensegrity structures. Acta. Mech. Sin. 27(6), 938–949 (2011)MathSciNetzbMATHCrossRefGoogle Scholar
  9. 9.
    K. Snelson, Snelson on the tensegrity invention. Int. J. Space Struct. 11(1–2), 43–48 (1996)CrossRefGoogle Scholar
  10. 10.
    B. Roth, W. Whiteley, Tensegrity frameworks. Trans. Am. Mat. Soc. 265(2), 419–446 (1981)MathSciNetzbMATHCrossRefGoogle Scholar
  11. 11.
    M. Schenk, Statically balanced tensegrity mechanisms-A literature review, Department of Bio-Mechanical Engineering, Delft University of Technology (2005)Google Scholar
  12. 12.
    H. Furuya, Concept of deployable tensegrity structures in space application. Int. J. Space Struct. 7(2), 143–151 (1992)MathSciNetCrossRefGoogle Scholar
  13. 13.
    C. Sultan, M. Corless, R.E. Skelton, Linear dynamics of tensegrity structures. Eng. Struct. 24(6), 671–685 (2002)zbMATHCrossRefGoogle Scholar
  14. 14.
    B. Moussa, N.B. Kahla, J.C. Pons, Evolution of natural frequencies in tensegrity systems: a case study. Int. J. Space Struct. 16(1), 57–73 (2001)CrossRefGoogle Scholar
  15. 15.
    N. Ashwear, A. Eriksson, Natural frequencies describe the pre-stress in tensegrity structures. Comput. Struct. 138, 162–171 (2014)CrossRefGoogle Scholar
  16. 16.
    N. Vassart, R. Motro, Multi-parametered form finding method: application to tensegrity systems. Int. J. Space Struct. 14(2), 147–154 (1999)CrossRefGoogle Scholar
  17. 17.
    A.G. Tibert, S. Pellegrino, Review of form-finding methods for tensegrity structures. Int. J. Space Struct. 26(3), 241–255 (2011)CrossRefGoogle Scholar
  18. 18.
    R. Connelly, M. Terrell, Globally rigid symmetric tensegrities. Struct. Topol. 1995 núm 21 (1995)Google Scholar
  19. 19.
    M. Ohsaki, J.Y. Zhang, Nonlinear programming approach to form-finding and folding analysis of tensegrity structures using fictitious material properties. Int. J. Solids Struct. 69, 1–10 (2015)CrossRefGoogle Scholar
  20. 20.
    R. Motro, Tensegrity systems and geodesic domes. Int. J. Space Struct. 5(3–4), 341–351 (1990)CrossRefGoogle Scholar
  21. 21.
    L. Zhang, B. Maurin, R. Motro, Form-finding of nonregular tensegrity systems. J. Struct. Eng. 132(9), 1435–1440 (2006)CrossRefGoogle Scholar
  22. 22.
    C. Sultan, Modeling, design, and control of tensegrity structures with applications (1999)Google Scholar
  23. 23.
    M. Masic, R.E. Skelton, P.E. Gil, Algebraic tensegrity form-finding. Int. J. Solids Struct. 42(16–17), 4833–4858 (2005)MathSciNetzbMATHCrossRefGoogle Scholar
  24. 24.
    R.P. Raj, S.D. Guest, Using symmetry for tensegrity form-finding. J. Int. Assoc. Shell Spatial Struct. 47(3), 245–252 (2006)Google Scholar
  25. 25.
    R. Connelly, Rigidity and energy. Inventiones Mathematicae 66(1), 11–33 (1982)MathSciNetzbMATHCrossRefGoogle Scholar
  26. 26.
    R. Connelly, Rigidity, in Handbook of Convex Geometry, Part A (1993), pp. 223–271CrossRefGoogle Scholar
  27. 27.
    C. Sultan, M. Corless, R.E. Skelton, Reduced prestressability conditions for tensegrity structures, in 40th Structures, Structural Dynamics, and Materials Conference and Exhibit (1999), p. 1478Google Scholar
  28. 28.
    L.Y. Zhang, Y. Li, Y.P. Cao, X.Q. Feng, Stiffness matrix based form-finding method of tensegrity structures. Eng. Struct. 58, 36–48 (2014)CrossRefGoogle Scholar
  29. 29.
    H.C. Tran, J. Lee, Advanced form-finding of tensegrity structures. Comput. Struct. 88(3–4), 237–246 (2010)CrossRefGoogle Scholar
  30. 30.
    X. Xu, Y. Luo, Form-finding of non regular tensegrities using a genetic algorithm. Mech. Res. Commun. 37(1), 85–91 (2010)zbMATHCrossRefGoogle Scholar
  31. 31.
    C. Paul, H. Lipson, F.J.V. Cuevas, Evolutionary form-finding of tensegrity structures, in Proceedings of the 7th Annual Conference on Genetic and Evolutionary Computation (ACM, New York, 2005), pp. 3–10Google Scholar
  32. 32.
    A. Micheletti, W. Williams, A marching procedure for form-finding for tensegrity structures. J. Mech. Mater. Struct. 2(5), 857–882 (2007)CrossRefGoogle Scholar
  33. 33.
    M. Pagitz, J.M.M. Tur, Finite element based form-finding algorithm for tensegrity structures. Int. J. Solids Struct. 46(17), 3235–3240 (2009)zbMATHCrossRefGoogle Scholar
  34. 34.
    K. Koohestani, A computational framework for the form-finding and design of tensegrity structures. Mech. Res. Commun. 54, 41–49 (2013)CrossRefGoogle Scholar
  35. 35.
    R. Connelly, W. Whiteley, Second-order rigidity and prestress stability for tensegrity frameworks. SIAM J. Discrete Math. 9(3), 453–491 (1996)MathSciNetzbMATHCrossRefGoogle Scholar
  36. 36.
    R. Connelly, Tensegrity structures: why are they stable? in Rigidity Theory and Applications (Springer, Boston, 2002), pp. 47–54Google Scholar
  37. 37.
    S.D. Guest, The stiffness of tensegrity structures. IMA J. Appl. Math. 76(1), 57–66 (2010)MathSciNetzbMATHCrossRefGoogle Scholar
  38. 38.
    R.E. Skelton, R. Adhikari, J.P. Pinaud, W. Chan, J.W. Helton, An introduction to the mechanics of tensegrity structures, in Decision and Control, 2001. Proceedings of the 40th IEEE Conference, vol. (5) (2001), pp. 4254–4259Google Scholar
  39. 39.
    J.Y. Zhang, M. Ohsaki, Stability conditions for tensegrity structures. Int. J. Solids Struct. 44(11–12), 3875–3886 (2007)MathSciNetzbMATHCrossRefGoogle Scholar
  40. 40.
    J.Y. Zhang, S.D. Guest, M. Ohsaki, Symmetric prismatic tensegrity structures: Part I. Configuration and stability. Int. J. Solids Struct. 46(1), 1–14 (2009)zbMATHCrossRefGoogle Scholar
  41. 41.
    K.W. Moored, H. Bart-Smith, Investigation of clustered actuation in tensegrity structures. Int. J. Solids Struct. 46(17), 3272–3281 (2009)zbMATHCrossRefGoogle Scholar
  42. 42.
    K.A. Lazopoulos, Stability of an elastic tensegrity structure. Acta Mech. 179(1–2), 1–10 (2005)zbMATHCrossRefGoogle Scholar
  43. 43.
    I.J. Oppenheim, W.O. Williams, Geometric effects in an elastic tensegrity structure. J. Elasticity Phys. Sci. solids 59(1–3), 51–65 (2000)zbMATHCrossRefGoogle Scholar
  44. 44.
    H. Murakami, Static and dynamic analyses of tensegrity structures. Part 1. Nonlinear equations of motion. Int. J. Solids Struct. 38(20), 3599–3613 (2001)zbMATHCrossRefGoogle Scholar
  45. 45.
    H. Murakami, Static and dynamic analyses of tensegrity structures. Part II. Quasi-static analysis. Int. J. Solids Struct. 38(20), 3615–3629 (2001)CrossRefGoogle Scholar
  46. 46.
    M. Arsenault, C.M. Gosselin, Kinematic, static, and dynamic analysis of a planar one-degree-of-freedom tensegrity mechanism. J. Mech. Des. 127(6), 1152–1160 (2005)CrossRefGoogle Scholar
  47. 47.
    M. Arsenault, C.M. Gosselin, Kinematic, static, and dynamic analysis of a spatial three-degree-of-freedom tensegrity mechanism. J. Mech. Des. 128(5), 1061–1069 (2006)zbMATHCrossRefGoogle Scholar
  48. 48.
    A. Amendola, G. Carpentieri, M. De Oliveira, R.E. Skelton, F. Fraternali, Experimental investigation of the softening–stiffening response of tensegrity prisms under compressive loading. Compos. Struct. 117, 234–243 (2014)CrossRefGoogle Scholar
  49. 49.
    N.B. Kahla, K. Kebiche, Nonlinear elastoplastic analysis of tensegrity systems. Eng. Struct. 22(11), 1552–1566 (2000)CrossRefGoogle Scholar
  50. 50.
    A. Hanaor, M.K. Liao, Double-layer tensegrity grids: static load response. Part I: analytical study. J. Struct. Eng. 117(6), 1660–1674 (1991)CrossRefGoogle Scholar
  51. 51.
    S.W. Doebling, C.R. Farrar, M.B. Prime, D.W. Shevitz, Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review (1996)Google Scholar
  52. 52.
    H. Sohn, A review of structural health monitoring literature: 1996–2001, in LANL Report (2004)Google Scholar
  53. 53.
    E.P. Carden, P. Fanning, Vibration based condition monitoring: a review. Struct. Health Monit. 3(4), 355–377 (2004)CrossRefGoogle Scholar
  54. 54.
    S.W. Doebling, C.R. Farrar, M.B. Prime, A summary review of vibration-based damage identification methods. Shock Vibr. Digest 30(2), 91–105 (1998)CrossRefGoogle Scholar
  55. 55.
    Y.J. Yan, L. Cheng, Z.Y. Wu, L.H. Yam, Development in vibration-based structural damage detection technique. Mech. Syst. Signal Process. 21(5), 2198–2211 (2007)CrossRefGoogle Scholar
  56. 56.
    W. Fan, P. Qiao, Vibration-based damage identification methods: a review and comparative study. Struct. Health Monit. 10(2), 83–111 (2011)CrossRefGoogle Scholar
  57. 57.
    C.R. Farrar, S.W. Doebling, P.J. Cornwell, E.G. Straser, Variability of modal parameters measured on the Alamosa Canyon Bridge. No. LA-UR-96-3953; CONF-970233-7. Los Alamos National Lab., NM (United States), 1996Google Scholar
  58. 58.
    O.S. Salawu, Detection of structural damage through changes in frequency: a review. Eng. Struct. 19(9), 718–723 (1997)CrossRefGoogle Scholar
  59. 59.
    N. Ashwear, A. Eriksson, Influence of temperature on the vibration properties of tensegrity structures. Int. J. Mech. Sci. 99, 237–250 (2015)CrossRefGoogle Scholar
  60. 60.
    C. Sultan, Designing structures for dynamical properties via natural frequencies separation: Application to tensegrity structures design. Mech. Syst. Signal Process. 23(4), 1112–1122 (2009)CrossRefGoogle Scholar
  61. 61.
    S. Faroughi, J.M.M. Tur, Vibration properties in the design of tensegrity structure. J. Vib. Control 21(3), 611–624 (2015)CrossRefGoogle Scholar
  62. 62.
    N. Ashwear, A. Eriksson, Vibration health monitoring for tensegrity structures. Mech. Syst. Signal Process. 85, 625–637 (2017)CrossRefGoogle Scholar
  63. 63.
    R. Panigrahi, A. Gupta, S. Bhalla, Damage assessment of tensegrity structures using piezo transducers, in ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems (2008), pp. 21–25Google Scholar
  64. 64.
    S. Bhalla, R. Panigrahi, A. Gupta, Damage assessment of tensegrity structures using piezo transducers. Meccanica 48(6), 1465–1478 (2013)zbMATHCrossRefGoogle Scholar
  65. 65.
    M.G. Raja, S. Narayanan, Active control of tensegrity structures under random excitation. Smart Mater. Struct. 16(3), 809 (2007)CrossRefGoogle Scholar
  66. 66.
    A. Gupta, S. Bhalla, R. Panigrahi, Behaviour of foldable tensegrity structure, in Keynote paper, 3rd Specialty Conference on the Conceptual Approach to Structural Design (2005), pp. 9–16Google Scholar
  67. 67.
    R. Panigrahi, A. Gupta, S. Bhalla, Dismountable steel tensegrity grids as alternate roof structures. Steel Compos. Struct. 9(3), 239–253 (2009)CrossRefGoogle Scholar
  68. 68.
    R. Panigrahi, S. Bhalla, A. Gupta, Development and analysis of a prototype dismountable tensegrity structures for shelter purposes. Int. J. Earth Sci. Eng. 3(4), 561–578 (2010)Google Scholar
  69. 69.
    R. Panigrahi, S. Bhalla, A. Gupta, A low-cost variant of electro-mechanical impedance (EMI) technique for structural health monitoring. Exp. Tech. 34(2), 25–29 (2010)CrossRefGoogle Scholar
  70. 70.
    S.N. Panigrahi, C.S. Jog, M.L. Munjal, Multi-focus design of underwater noise control linings based on finite element analysis. Appl. Acoust. 69(12), 1141–1153 (2008)CrossRefGoogle Scholar
  71. 71.
    R. Panigrahi, A. Gupta, S. Bhalla, K. Arora, Application of artificial neural network for form finding of tensegrity structures, in IICAI (2005), pp. 1950–1962Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Indian Institute of Technology MandiMandiIndia

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