This paper proposes two numerical models for arbitrary quadrilateral panels, which are the generalisation of their counterparts for rectangular panels, presented in Refs. 3 and 4. The five force model is proved adequate to represent any state of equilibrium of a flat quadrilateral panel, subjected to nodal forces. The four-force model is found useful for warped panels through the investigation on the influence of curvature on flexibility of a panel. A six /four-bar assembly is also proposed as a substitute for the models to simplify the analysis of clad cable net structures.
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References
1.
ChienW., Variational Methods and Finite Element, Vol. 1, Science Press, Beijing, 1980. (In Chinese)
2.
LongY., Sub-region Generalised Variational Principles in Elasticity, Shanghai Mechanics, 2, 1981, 1-9. (In Chinese)
3.
ShanJ. and LewisW.J., Application of the Sub-region Mixed Energy Principle to the Analysis of Stressed Membrane Roofing Forms, in: Niku-LariA., ed., Numerical Analysis and Computer Aided Design (Vol. 1): Proceedings of the Fourth SAS-World Conference FEMCAD, Gournay-sur-Marne, 1988, 453-461.
4.
LewisW.J. and ShanJ., Numerical Modelling of the Nonlinear Static Response of Clad Cable Net Structures, Computers and Structures, 35(1), 1990, 15-22.
5.
BuchholdtH.A., DaviesM. and HusseyM., The Analysis of Cable Nets, Journal of Inst. Maths Applics, 4, 1968, 339-358.
6.
DayA.S. and BunceJ.H., Analysis of Cable Networks by Dynamic Relaxation, Civil Eng. and Public Works Review, April, 1970, 383-386.
7.
LewisW.J., JonesM.S. and RushtonjK.R., Dynamic Relaxation Analysis of the Non-linear Static Response of Pretensioned Cable Roofs, Computers and Structures, 18(6), 1984, 989-997.