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Inelastic analysis of suspension structures by nonlinear programming. (English) Zbl 0299.73035


MSC:

74K99 Thin bodies, structures
90C90 Applications of mathematical programming
Full Text: DOI

References:

[1] Buchholdt, H. A., A nonlinear deformation theory applied to two-dimensional pretensioned cable assemblies, (Proc. Inst. Civ. Engrs., 42 (1969)), 129-141
[2] Buchholdt, H. A.; McMillan, B. R., Iterative methods for the solution of pretensioned cable structures and pinjointed assemblies having significant geometrical displacements, (IASS Pacific Symposium on Tension Structures and Space Frames. IASS Pacific Symposium on Tension Structures and Space Frames, Tokyo and Kyoto (Oct. 1971)), 12 · Zbl 0588.73100
[3] Møllmann, H., Analysis of hanging roofs using the displacement method, Acta Polytechnica Scandinavica, C168, 1-49 (1971)
[4] Maier, G.; De Donato, O., Elastic analysis of plane pretensioned systems, (IASS Pacific Symposium on Tension Structures and Space Frames. IASS Pacific Symposium on Tension Structures and Space Frames, Tokyo and Kyoto (Oct. 1971)), 12 · Zbl 0351.73044
[5] Greenberg, D. P., Inelastic analysis of suspension roof-structures, J. Struct. Div. A.S.C.E., 96, 905-930 (1970)
[6] Jonatowski, J. J.; Birnstiel, C., Inelastic stiffned suspension space structures, J. Struct. Div. A.S.C.E., 96, 1143-1166 (1970)
[7] Murray, T. A.; Willems, N., Analysis of inelastic suspension structures, J. Struct. Div. A.S.C.E., 97, 2791-2806 (1971)
[8] Zangwill, W. S., Nonlinear programming (1969), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0191.49101
[9] Zoutendijk, G., Nonlinear programming, computational methods, (Abadie, J., Nonlinear programming (1970), North-Holland) · Zbl 0336.90057
[10] Best, M. J., A feasible conjugate direction method to solve linearly constrained minimization problems, (Research Report CORR 79-12 (1973), University of Waterloo: University of Waterloo Canada) · Zbl 0281.90063
[11] Contro, R.; Maier, G., Energy approach to the inelastic analysis of suspension structures, (Techn. Rep. N.I6, ISTC (July 1973), Politecnico: Politecnico Milan) · Zbl 0299.73035
[12] Maier, G., Incremental plastic analysis in the presence of large displacements and physical instabilizing effects, Int. J. Solids Structures, 7, 345-372 (1971) · Zbl 0224.73043
[13] Best, M. J.; Ritter, K., An accelerated conjugate direction method to solve linearly constrained minimization problems, (Research Report CORR 73-16 (1973), University of Waterloo: University of Waterloo Canada) · Zbl 0349.90098
[14] Fletcher, R., An efficient, globally convergent, algorithm for unconstrained and linearly constrained optimization problems, (7th Int. Mathematical Programming Symposium. 7th Int. Mathematical Programming Symposium, The Hague, 1970. 7th Int. Mathematical Programming Symposium. 7th Int. Mathematical Programming Symposium, The Hague, 1970, T.P.431 (Dec. 1970), Atomic Energy Research Establishment: Atomic Energy Research Establishment Harwell)
[15] Gill, P. E.; Murray, W., Quasi-Newton methods for linearly constrained optimization, (NPL Report NAC 32 (May 1973), National Physical Laboratory) · Zbl 0264.49026
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