Contrary to the usual procedure, a desired state of stress is assumed and that corresponding funicular shells shape is obtained. The reticulated domes that are developed from these equivalent shells are called Funicular domes. For shallow shells the governing equation is a Poisson's equation and for deep shells the governing equation is a nonlinear partial differential equation. The Boundary Integral Element method is used to obtain the shape of the funicular reticulated domes. Nonlinear analysis is carried out to investigate the snap through buckling and load deformation response. Numerical examples are solved using the program “NLA” developed.
Get full access to this article
View all access options for this article.
References
1.
BrebbiaC.A., “The Boundary Element Method for Engineers”, Pentech Press, London, 1978.
2.
FormenS.I.HutchinsonJ.W., “Buckling of Reticulated Structures”, International Journal of Solids and Structures”, Vol.6, pp909–932.
3.
HarrenstienH.P., “Configuration of Shell Structures for Optimal Stress”, Proceedings of the Symposium on shell research, Aug, 30–Sept. 2, 1961.
4.
KarunaM., “Shape Generation, Static and Instability Analysis of Funicular Domes”, Thesis submitted to the Bharathiar University as a partial fulfillment of M.E. degree, 1992.
5.
KollarHegedus, “Analysis and Design of Space frames by the Continuum method”, Elsevier Science Pub., Amsterdam and Akademia, Kiato, Budapest, 1985.
6.
RajasekaranS.MurrayD.W., “Incremental Finite Element Matrices”, ASCE, Journal of Structural division, vol.99, Dec. 1993.
7.
RamaswamyG.S., “The theory of New Funicular Shell of Double Curvature”, Indian Concrete Journal, Sept, 1960.
8.
TimoshenkoS.P.Wionowsky KriegerS., “Theory of Plates and Shells”, McGraw-Hill Book Co., N. York, 1959.
9.
WrightT., “Membrane forces and Buckling in Reticulated Shells”, ASCE, Journal of Structural Division, vol.91, No. ST.1, Feb. 1965.
