A simple technique for controlling element distortion in dynamic relaxation form-finding of tension membranes

Computers and Structures

Volumn 80, Issue 27-30, 2002, Pages 2115-2120

  Wood, R D ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Dynamic relaxation; Element distortion; Form finding

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; RELAXATION PROCESSES; STRESSES; STRUCTURAL LOADS; VISCOSITY;

DYNAMIC RELAXATION;

TRUSSES;

EID: 0036858328     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00274-2     Document Type: Conference Paper

References (15)

1. Barnes M.R. Applications of dynamic relaxation to the design and analysis of cable, membrane and pneumatic structures. International Conference on Space Structures, Guildford, 1975.
2. Wakefield DS. Dynamic relaxation analysis of pretensioned networks with flexible boundaries. IASS World Congress on Shell and Spatial Structures, Madrid, September 1979.
3. Schek H.J. The force densities method for form-finding and computation of general networks. Comput. Meth. Appl. Mech. Engng. 3:1974;115-134.
4. Linkwitz K., Grundig L., Bahndorf J., Neureither M., Strobel D. Optimizing the shape of the roof of the olympic stadium. Montreal Struct Engng Rev. 1:1988;225-232.
5. Tabarrok B., Qin Z. Nonlinear analysis of tension structures. Comput. Struct. 4(5/6):1992;973-984.
6. Bletzinger K-W. Form finding of membrane structures and minimal surfaces by numerical continuation. Proceeding of the IASS Congress on Structural Morphology: Towards the New Millennium, Nottingham, 1997. ISBN 0-85358-064-2, p. 68-75.
7. Bonet J., Mahaney J. Form finding of membrane structures by the updated reference method with minimum distortion. Int. J. Solids Struct. 38:2001;5469-5480.
8. Lewis W.J. Lightweight tension structures - an aesthetic integration of geometry and mechanics. Part 2 Finding the form of a minimal surface. Math Today. 1(June):1999;80-84.
9. Lewis W.J. Lightweight tension membranes - an overview. Proc Instn Civ Engrs Civ Engng. 126(August):1998;171-181.
10. Maurin B, Motro R. Density methods and minimal forms computation. Proceedings of the IASS Congress on Structural Morphology: Towards the New Millennium, Nottingham, 1997. ISBN 0-85358-064-2, p. 225-32.
11. Zienkiewicz O.C. The finite element method. 3rd edition:1977;McGraw-Hill.
12. Bathe K.-J. Finite element procedures in engineering analysis. 1982;Prentice-Hall, NJ. for central difference.
13. Massey H.S.W., Kestleman H. Ancillary mathematics. 1964;Pitman & Sons, London.
14. http://www.nada.kth.se/̃mihai/soap.html.
15. http://mathworld.wolfram.com/ScherksMinimalSurfaces.html.