By W. C. Schnobrich (auth.), G. De Roeck, A. Samartin Quiroga, M. Van Laethem, E. Backx (eds.)
In contemporary years robust engineering workstations for a cheap expense turn into a worthwhile device for the layout of advanced structures resembling shell and spatial constructions. This availability factors an expanding use of complicated numerical thoughts for the static and dynamic research of those constructions, additionally within the non-linear variety. The I.A.S.S. operating staff nO thirteen fascinated by "Numerical equipment in Shell and Spatial constructions" and the dep. of Civil Engineering of the Katholieke Universiteit Leuven have taken the initiative to organise a world Symposium, offering a discussion board for dialogue and alternate of perspectives among researchers, experts in numerical research on one hand and architects, working towards engineer ings nonetheless. those court cases comprise the papers provided on the Symposium, held in Leuven, July 14-16 1986. The papers are organised in 5 sections 1. Shell buildings 2. Spatial constructions three. Dynamic research four. Non-linear research five. Presentation and interpretation of effects The papers masking a couple of area are categorized following the most topic. we are hoping that researchers in addition to working towards engineers will discover a lot of invaluable details within the book.
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Additional resources for Shell and Spatial Structures: Computational Aspects: Proceedings of the International Symposium July 1986, Leuven, Belgium
Example text
E. : w,=" , :. a.. ::h'z+itXf , Here in (19), H is a harmonic function. The partial differential equation in (19) is of order two which is two orders lower than that in (15) and is much easier to solve. Examille: A rectangular bottomed spherical thin shallo'1 shell, its bottom's edges are axb with a and b along x and y coordinates respectively. It is exerted by uniformly distributed pressure q. ' all edges are simply supported. The boundary conditions are When X=O,x=ai y=O,y=b: w,="'w,=+=V~;=O (ZO) 41 Since the boundary value of the harmonic function everywhere, thus we assume: H is zero, it is identically zero OlIO 04 I.
As a speCial case we have the posslblhty of calculating any plate by thiS program. 4. SAP-IV analysIs When we have executed all three parts we are able to submit the structure to SAP-IV, feeding It with the data file INSAP, for analysing and evaluating the results. 5. Postprocessing + ExtractIOn of feed-back informatIOn The output of SAP-IV analysIs IS directed to different files holding informatIOn about displacements of the nodes, the moments and stresses In the elements. As far as displacements are concerned we are able to produce graphs of the deformed structure, eventually superposed to the Original structure.
5J BERNADOU M. "Convergence of conforming finite element methods for general shell problems", Int. J. Engng. , 18, 249-276, 1980. H. ; FRIED I. W. : The TUBA Family of Plate Elements for the Matrlx Displacement Method, Aero. J. Royal Aeronaut. , 72, pp. 701-709, 1968. G. T. : Calculation of Arch Dams as a Shell USlng IBM-370 Computer and Curved Finite Elements, in "Theory of Shells", W. T. K. , North-Holland Publlshlng Co, Amsterdam, pp. 691-696, 1980. [8J BERNADOU M. L. ; LAUG P. ; VIDRASCU M.