Force density ratios of flexible borders to membrane in tension fabric structures |
Asadi, H.
(Department of Civil Engineering, K.N.Toosi University of Technology)
Hariri-Ardebili, M.A. (Department of Civil Engineering, University of Colorado) Mirtaheri, M. (Department of Civil Engineering, K.N.Toosi University of Technology) Zandi, A.P. (Department of Civil Engineering, K.N.Toosi University of Technology) |
1 | Popov, E.V., Lagunova, M.V. and Rotkov, S.I. (2018), "Tensile structure form-finding on the basis of properties of frame-grid template", Proceedings of the International Conference on Geometry and Graphics, Milan, August. |
2 | Schek, H.J. (1974), "The force density method for form finding and computation of general networks", Comput. Meth. Appl. Mech. Eng., 3(1), 115-134. DOI |
3 | Shi, J.X., Wu, Z., Tsukimoto, S. and Shimoda, M. (2018), "Design optimization of cable-membrane structures for form-finding and stiffness maximization", Compos. Struct., 192, 528-536. DOI |
4 | Shimoda, M. and Yamane, K. (2015), "A numerical form-finding method for the minimal surface of membrane structures", Struct. Multidiscipl. Optim., 51(2), 333-345. DOI |
5 | Singer, P. (1995), Die Berechnung von Minimalflachen, Seifenblasen, Membrane und Pneus aus Geodatischer Sicht, Bayerischen Akademie der Wissenschaften. |
6 | Tang, Y. and Li, T. (2017), "Equivalent-force density method as a shape-finding tool for cable-membrane structures", Eng. Struct., 151, 11-19. DOI |
7 | Tang, Y., Li, T., Ma, X. and Hao, L. (2016), "Extended nonlinear force density method for form-finding of cable-membrane structures", J. Aerosp. Eng., 30(3), 04016101. |
8 | Tibert, A. and Pellegrino, S. (2011), "Review of form-finding methods for tensegrity structures", Int. J. Space Struct., 26(3), 241-255. DOI |
9 | Veenendaal, D. and Block, P. (2012), "An overview and comparison of structural form finding methods for general networks", Int. J. Sol. Struct., 49(26), 3741-3753. DOI |
10 | Plateau, J.A.F. (1873), Statique Experimentale et Theorique des Liquides Soumis aux Seules Forces Moleculaires, Gauthier-Villars, 2. |
11 | Xiang, X.A., Tian, W., Zhao, Y. and Dong, S.L. (2010), "Improved nonlinear force density method accounting for 2-dimensional deformations of membrane element", Eng. Mech., 4, 43. |
12 | Xu, G., Rabczuk, T., Guler, E., Wu, Q., Hui, K.C. and Wang, G. (2015a), "Quasi-harmonic bezier approximation of minimal surfaces for finding forms of structural membranes", Comput. Struct., 161, 55-63. DOI |
13 | Xu, R., Li, D., Liu, W., Jiang, J., Liao, Y. and Wang, J. (2015b), Modified nonlinear force density method for form-finding of membrane sar antenna", Struct. Eng. Mech., 54(6), 1045-1059. DOI |
14 | Ye, J., Feng, R.Q., Zhou, S. and Tian, J. (2012), "The modified force-density method for form-finding of membrane structures", Int. J. Steel Struct., 12(3), 299-310. DOI |
15 | Zhang, L. (2010), "Reliability analysis of fabric structures", Ph.D. Dissertation, Newcastle University, Newcastle, U.K. |
16 | Alic, V. and Persson, K. (2016), "Form finding with dynamic relaxation and isogeometric membrane elements", Comput. Meth. Appl. Mech. Eng., 300, 734-747. DOI |
17 | Aboul-Nasr, G. and Mourad, S.A. (2015), "An extended force density method for form finding of constrained cable nets", Case Stud. Struct. Eng., 3, 19-32. DOI |
18 | Adriaenssens, S., Block, P., Veenendaal, D. and Williams, C. (2014), Shell Structures for Architecture: Form Finding and Optimization, Routledge, London, U.K. |
19 | Aish, F., Joyce, S., Malek, S. and Williams, C.J. (2015), "The use of a particle method for the modelling of isotropic membrane stress for the form finding of shell structures", Comput.-Aid. Des., 61, 24-31. DOI |
20 | Borgart, A. (2010), "An approximate calculation method for air inflated cushion structures for design purposes", Int. J. Space Struct., 25(2), 83-91. DOI |
21 | Bridgens, B. and Birchall, M. (2012), "Form and function: The significance of material properties in the design of tensile fabric structures", Eng. Struct., 44, 1-12. DOI |
22 | Forster, B. and Chilton, J. (2004), Introduction [European Design Guide for Tensile Surface Structures], In: European Design Guide for Tensile Surface Structures, Tensinet, Brussels, Belgium. |
23 | Fund, A.I. (2008), Form-Finding Structures, M.Sc. Dissertation, Massachusetts Institute of Technology, Cambridge. |
24 | Grundig, L., Moncrieff, E., Singer, P. and Strobel, D. (2000), "A history of the principal developments and applications of the force density method in Germany 1970-1999", Proceedings of the 4th International Coll. Computation of Shell & Spatial Structures, Chania-Crete, Greece, June. |
25 | Huttner, M., Fajman, P. and Maca, J. (2017), "Membrane structures-aspects of form-finding process", Adv. Mater. Res., 1144, 28-33. DOI |
26 | Haber, R. and Abel, J. (1982a), "Initial equilibrium solution methods for cable reinforced membranes part i-formulations", Comput. Meth. Appl. Mech. Eng., 30(3), 263-284. DOI |
27 | Haber, R. and Abel, J. (1982b), "Initial equilibrium solution methods for cable reinforced membranes part iiimplementation", Comput. Meth. Appl. Mech. Eng., 30(3), 285-306. DOI |
28 | Harichandran, A. and Sreevalli, I.Y. (2016), "Form-finding of tensegrity structures based on force density method", Ind. J. Sci. Technol., 9(24), 1-6. |
29 | Ibrahim, M.W., Hadi, M.A. and Min, Y.H. (2018), "Form-finding using nonlinear analysis method in tensioned fabric structure in the form of handkerchief surface", J. Phys.: Conf. Ser., 995, 012014. DOI |
30 | Koohestani, K. (2013), "A computational framework for the formfinding and design of tensegrity structures", Mech. Res. Commun., 54, 41-49. DOI |
31 | Koohestani, K. (2014), "Nonlinear force density method for the form-finding of minimal surface membrane structures", Commun. Nonlin. Sci. Numer. Simulat., 19(6), 2071-2087. DOI |
32 | Koohestani, K. (2017), "On the analytical form-finding of tensegrities", Compos. Struct., 166, 114-119. DOI |
33 | Lahuerta, J.J. (2003), Antoni Gaudi, Phaidon Incorporated Limited. |
34 | Lan, C., Tu, X., Xue, J., Briseghella, B. and Zordan, T. (2018), "Adaptive form-finding method for form-fixed spatial network structures", Int. J. Adv. Struct. Eng., 1-11. |
35 | Linkwitz, K. and Schek, H.J. (1971), "Einige bemerkungen zur berechnung von vorgespannten seilnetzkon-struktionen", Arch. Appl. Mech., 40(3), 145-158. |
36 | Lee, K. and Han, S. (2011), "Advanced shape finding algorithm of force density method based on fem", Adv. Steel Constr., 7(4), 313-329. |
37 | Li, T., Deng, H., Tang, Y., Jiang, J. and Ma, X. (2017), "Accuracy analysis and form-finding design of uncertain mesh reflectors based on interval force density method", J. Aerosp. Eng., 231(11), 2163-2173. |
38 | Linkwitz, K. (1999), "About formfinding of double-curved structures", Eng. Struct., 21(8), 709-718. DOI |
39 | Malerba, P., Patelli, M. and Quagliaroli, M. (2012), "An extended force density method for the form finding of cable systems with new forms", Struct. Eng. Mech., 42(2), 191-210. DOI |
40 | MATLAB (2016), Version 9.1 (R2016b), The MathWorks Inc., Natick, Massachusetts, U.S.A. |
41 | Maurin, B. and Motro, R. (1998), "The surface stress density method as a form-finding tool for tensile membranes", Eng. Struct., 20(8), 712-719. DOI |
42 | Miki, M. and Kawaguchi, K. (2010), "Extended force density method for form-finding of tension structures", J. Int. Assoc. Shell Spat. Struct., 51(4), 291-303. |
43 | Ohsaki, M. and Hayashi, K. (2017), "Force density method for simultaneous optimization of geometry and topology of trusses", Struct. Multidiscipl. Optim., 56(5), 1157-1168. DOI |
44 | Pauletti, R.M. and Pimenta, P.M. (2008), "The natural force density method for the shape finding of taut structures", Comput. Meth. Appl. Mech. Eng., 197(49-50), 4419-4428. DOI |