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This and the next slide are from:
Anita Handruleva, Vladimir Matuski and Konstantin Kazakov (Dept of Mechanics, Higher School of Civil Engineering “L. Karavelov”, Sofia, Bulgaria), “Combined mechanisms of collapse of discrete single-layer spherical domes”, Study of Civil Engineering and Architecture (SCEA) Vol. 1, No. 1, December 2012
ABSTRACT: This paper presents investigation of combined mechanisms of collapse of discrete single-layer domes. Main factors influencing sustainable behavior are: morphology of the grid configuration, geometry and material characteristics of the structural elements, type of joints and the supporting conditions. On this basis, representative configuration of discrete spherical dome for structural analysis is selected. The numerical solution is performed by software based on the Finite Element Method. Several load cases are considered. These are consistent with the surfaces of influence that have been determined. In order to define the critical value of the load parameter, the loading is increased incrementally and iterative procedure is used in a given load step in order to exclude the structural elements which have reached their limit capacity. Thus the boundary equilibrium of the system is defined. The study reveals geometric nonlinearities by accounting for P-Δ effects, i.e. the influence of normal forces on the stiffness of the system. It is assumed that the displacements increase after exclusion of the elements which have reached their limit capacity. The equilibrium conditions are defined for the deformed shape of the structure. Results are presented in graphical and tabular form.
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