Optimal structural membranes - II. Form-finding of prestressed membranes using a curved quadrilateral finite element for surface definition

Computers and Structures

Volumn 61, Issue 5, 1996, Pages 885-895

  Gosling, P D ^a   Lewis, W J ^b  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; OPTIMIZATION; PRESTRESSING; STRAIN RATE; STRESS ANALYSIS; STRESS RELAXATION; SURFACE PROPERTIES;

CURVED QUADRILATERAL FINITE ELEMENT; FORM FINDING METHOD; SURFACE DEFINITION;

BUILDING MATERIALS;

EID: 0030315237     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(96)00091-0     Document Type: Article

References (15)

1. C. J. K. Williams, Form-finding and cutting patterns for air-supported structures. In: Symp. on Air-supported Structures: the State of the Art, Institute of Structural Engineering, London, pp. 99-120 (1980).
2. C. J. K. Williams, Defining and designing curved flexible tensile surface structures, The Mathematics of Surfaces, Conf. Proc., Institute of Mathematics and its Applications, University of Manchester, pp. 143-177 (1984).
3. Z. Sobotka, Shapes, sags and tensions of hanging roofs with horizontal boundaries. Acta Technica Csav 33(2), 233-268 (1988).
4. C. N. Kostem, Optimum shaped pneumatic roofs. In: Symp. on Industrial Spatial and Shell Structures, International Association for Shell and Spatial Structures, Kielce, Poland, pp. 77-87 (1973).
5. B. Rousselet, Shape design sensitivity of a membrane. J. Optim. Theory Applic. 40(4), 595-623 (1983).
6. K. Bach, B. Burkhardt and F. Otto, Forming Bubbles, Vol. 18. Institute of Lightweight Structures, University of Stuttgart (1987).
7. S. Gass, Experiments, Vol. 25. Institute of Lightweight Structures, University of Stuttgart (1990).
8. Dao Trong Thi and A. T. Fomenko, Minimal Surfaces, Stratified Multi-varifolds and the Plateau Problem. American Mathematical Society Providence, RI (1991).
9. K. Ishii and T. Suzuki, Shape of Membrane Structures. In: Tensions, Structures and Space Frames (II), Conf. Proc., I.A.S.S. Symp., Tokyo, pp. 127-136 (1972).
10. T. Suzuki and Y. Hangai, Shape analysis of minimal surfaces by the finite element method. In: Tension Structures and Space Frames, Conf. Proc., I.A.S.S. Symp., Copenhagen, pp. 103-110 (1991).
11. M. R. Barnes, Form-finding of minimum surface membranes. In: Space Enclosures, Conf. Proc., I.A.S.S. World Congress, Montreal, pp. 115-124 (1976).
12. W. J. Lewis, M. S. Jones and U. R. Rushton, Dynamic relaxation analysis of the non-linear static response of pretensioned cable roofs. Comput. Struct. 18, 989-997 (1984).
13. W. J. Lewis, The efficiency of numerical methods for the analysis of prestressed and pin-jointed frame structures. Comput. Struct. 33, 791-800 (1989).
14. P. A. Cundall, Explicit finite difference methods in geometries. In: E.F. Conf. Proc. on Numerical Methods in Geomechanics, Blacksburg, VA (1976).
15. M. R. Barnes, Form-finding and analysis of prestressed nets and membranes. Int. Conf. non-conv. Struct. 1, 327-338 (1987).