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Equilibrium and stability of tensegrity structures: A convex analysis approach
1. | Department of Civil Engineering, University of Rome "Tor Vergata", Via del Politecnico, 1 - 00133 Rome, Italy, Italy, Italy |
References:
[1] |
S. Pellegrino, Analysis of prestressed mechanisms, International Journal of Solids and Structures, 26 (1990), 1329-1350. |
[2] |
C. R. Calladine and S. Pellegrino, First-order infinitesimal mechanisms, International Journal of Solids and Structures, 27 (1991), 505-515. |
[3] |
C. Sultan, M. Corless and R. E. Skelton, The prestressability problem of tensegrity structures: some analytical solutions, International Journal of Solids and Structures, 38 (2001), 5223-5252.
doi: 10.1016/S0020-7683(00)00401-7. |
[4] |
R. Motro, "Tensegrity: Structural Systems for the Future," Kogan Page Science, 2003.
doi: 10.1016/B978-190399637-9/50035-4. |
[5] |
B. Roth and W. Whiteley, Tensegrity frameworks, Transactions of the American Mathematical Society, 265 (1981), 419-446.
doi: 10.1090/S0002-9947-1981-0610958-6. |
[6] |
R. Connelly, Rigidity and energy, Inventiones Mathematichae, 66 (1982), 11-33.
doi: 10.1007/BF01404753. |
[7] |
R. Connelly and W. Whiteley, Second-order rigidity and prestress stability for tensegrity frameworks, Journal on Discrete Mathematics, 9 (1996), 453-491.
doi: 10.1137/S0895480192229236. |
[8] |
R. Connelly and A. Back, Mathematics and tensegrity, American Scientists, 86 (1998), 142-151.
doi: 10.1511/1998.2.142. |
[9] |
F. Maceri, M. Marino and G. Vairo, Convex analysis and ideal tensegrities, Comptes Rendus Mecanique, 339 (2011), 683-691. |
[10] |
M. Frémond, "Non-Smooth Thermomechanics," Springer-Verlag Berlin, 2001. |
[11] |
P. D. Panagiotopoulos, Convex analysis and unilateral static problems, Archive of Applied Mechanics, 45 (1976), 55-68. |
[12] |
J. J. Moreau, Fonctionnelles convexes, Editions of Department of Civil Engineering, University of Rome Tor Vergata, ISBN 9788862960014, Roma, 2003. |
[13] |
S. Guest, The stiffness of prestressed frameworks: A unifying approach, International Journal of Solids and Structures, 43 (2006), 842-854. |
[14] |
A. Micheletti and W. O. Williams, A marching procedure for form-finding for tensegrity structures, Journal of Mechanics of Materials and Structures, 2 (2007), 857-882.
doi: 10.2140/jomms.2007.2.857. |
[15] |
W. O. Williams, A primer on the mechanics of tensegrity structures, preprint, (2007). |
[16] |
J. Y. Zhang and M. Ohsaki, Stability conditions for tensegrity structures, International Journal of Solids and Structures, 44 (2007), 3875-3886. |
show all references
References:
[1] |
S. Pellegrino, Analysis of prestressed mechanisms, International Journal of Solids and Structures, 26 (1990), 1329-1350. |
[2] |
C. R. Calladine and S. Pellegrino, First-order infinitesimal mechanisms, International Journal of Solids and Structures, 27 (1991), 505-515. |
[3] |
C. Sultan, M. Corless and R. E. Skelton, The prestressability problem of tensegrity structures: some analytical solutions, International Journal of Solids and Structures, 38 (2001), 5223-5252.
doi: 10.1016/S0020-7683(00)00401-7. |
[4] |
R. Motro, "Tensegrity: Structural Systems for the Future," Kogan Page Science, 2003.
doi: 10.1016/B978-190399637-9/50035-4. |
[5] |
B. Roth and W. Whiteley, Tensegrity frameworks, Transactions of the American Mathematical Society, 265 (1981), 419-446.
doi: 10.1090/S0002-9947-1981-0610958-6. |
[6] |
R. Connelly, Rigidity and energy, Inventiones Mathematichae, 66 (1982), 11-33.
doi: 10.1007/BF01404753. |
[7] |
R. Connelly and W. Whiteley, Second-order rigidity and prestress stability for tensegrity frameworks, Journal on Discrete Mathematics, 9 (1996), 453-491.
doi: 10.1137/S0895480192229236. |
[8] |
R. Connelly and A. Back, Mathematics and tensegrity, American Scientists, 86 (1998), 142-151.
doi: 10.1511/1998.2.142. |
[9] |
F. Maceri, M. Marino and G. Vairo, Convex analysis and ideal tensegrities, Comptes Rendus Mecanique, 339 (2011), 683-691. |
[10] |
M. Frémond, "Non-Smooth Thermomechanics," Springer-Verlag Berlin, 2001. |
[11] |
P. D. Panagiotopoulos, Convex analysis and unilateral static problems, Archive of Applied Mechanics, 45 (1976), 55-68. |
[12] |
J. J. Moreau, Fonctionnelles convexes, Editions of Department of Civil Engineering, University of Rome Tor Vergata, ISBN 9788862960014, Roma, 2003. |
[13] |
S. Guest, The stiffness of prestressed frameworks: A unifying approach, International Journal of Solids and Structures, 43 (2006), 842-854. |
[14] |
A. Micheletti and W. O. Williams, A marching procedure for form-finding for tensegrity structures, Journal of Mechanics of Materials and Structures, 2 (2007), 857-882.
doi: 10.2140/jomms.2007.2.857. |
[15] |
W. O. Williams, A primer on the mechanics of tensegrity structures, preprint, (2007). |
[16] |
J. Y. Zhang and M. Ohsaki, Stability conditions for tensegrity structures, International Journal of Solids and Structures, 44 (2007), 3875-3886. |
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