×

Effects of self-stress distributions on stability of tensegrity structures. (English) Zbl 1535.74378

Summary: Tensegrity systems are composed of any given set of cables connected to a set of struts in which the cables connectivity must be able to stabilize the configuration. Self-stresses contribute to the rigidity and stability of the system. Therefore, self-stress distribution has a dominant effect on the stability behavior of these systems. In this study, the stability behavior of plane double-layer tensegrity systems considering different distributions of self-stresses is evaluated. Based on the results obtained, collapse mechanisms, load carrying capacities, stiffness of the systems and slackening of the cables are affected by self-stress distribution. Therefore, self-stress design is a key factor that plays a dominant role on the stability behavior of tensegrity systems. These results can lead to the suggestion of some guidelines on the selection of self-stress distribution for the design of tensegrity systems against instability.

MSC:

74H55 Stability of dynamical problems in solid mechanics
Full Text: DOI

References:

[1] Motro, R., Tensegrity: Structural Systems for the Future (Kogan Page Science, 2005).
[2] Skelton, R. E. and de Oliveira, M. C., Tensegrity Systems (Springer, 2009). · Zbl 1175.74052
[3] Shekastehband, B., Abedi, K. and Chenaghlou, M. R., Sensitivity analysis of tensegrity systems due to member loss, J. Constr. Steel Res.67 (2011) 1325-1340.
[4] Shekastehband, B., Abedi, K., Dianat, N. and Chenaghlou, M. R., Experimental and numerical studies on the collapse behavior of tensegrity systems considering cable rupture and strut collapse with snap-through, Int. J. Nonlinear Mec.47 (2012) 751-768.
[5] Shekastehband, B. and Abedi, K., Collapse behavior of tensegrity systems due to cable rupture, Int. J. Struct. Stab. Dyn.13 (2013). · Zbl 1293.74303
[6] Kahla, N. Ben and Moussa, B., Effect of a cable rupture on tensegrity systems, Int. J. Space Struct.23 (2008) 89-102.
[7] Abedi, K. and Shekastehband, B., Static stability behaviour of plane double-layer tensegrity structures, Int. J. Space Struct.23 (2008) 89-102.
[8] Shekastehband, B. and Abedi, K., Dynamic propagation of snap through buckling in tensegrity structures, Int. J. Struct. Stab. Dyn.14 (2014).
[9] Wang, B. B., Free-Standing Tension Structures-from Tensegrity Systems to Cable-Strut Systems (Spon Press, New York, 2004).
[10] Quirant, J., Kazi-Aoual, M. N. and Motro, R., Designing tensegrity systems: The case of a double layer grid, Eng. Struct.25 (2003) 1121-1130.
[11] Timoshenko, S. F. and Gere, J. M., Theory of Elastic Stability (McGraw-Hill, 1985).
[12] , Standard User’s Manual (Hibbit, Karlsson and Sorensen Inc., Providence, Rhode Island, USA, 2002).
[13] Bathe, K. J., Finite Element Procedures (Prentice-Hall, Inc., New Jersey, 1996).
[14] Kebiche, K., Kazi-Aoual, M. N. and Motro, R., Geometrical non-linear analysis of tensegrity systems, Eng. Struct.21 (1999) 864-876.
[15] Shekastehband, B., Abedi, K. and Diana, N., Experimental and numerical study on the self-stress design of tensegrity systems, Meccanica48 (2013) 2367-2389. · Zbl 1293.74303
[16] Quirant, J., Kazi-Aoual, M. N. and Laporte, R., Tensegrity systems: The application of linear programmation in search of compatible selfstress states., J. Int. Assoc. Shell Spat. Struct.4 (2003) 33-50.
[17] Shekastehband, B., Abedi, K. and Dianat, N., Experimental and numerical studies on the progressive collapse behavior of tensegrity systems, Int. J. Space Struct.29 (2014) 9-24.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.