Geometric modelling and materially nonlinear numerical analysis of shells in the shape of one-sheet hyperboloid of revolution
| Autor: | Muhannad Jazzan, Mathieu Gil-oulbé, Jaafar Qbaily |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Surface (mathematics)
Plane curve Numerical analysis Mathematical analysis materially nonlinear numerical analysis finite elements linear analysis Rotation Finite element method Nonlinear system lcsh:Architectural engineering. Structural engineering of buildings lcsh:TH845-895 geometric modeling hyperboloids of revolution Surface of revolution Hyperboloid Mathematics finite elements nonlinear analysis |
| Zdroj: | Structural Mechanics of Engineering Constructions and Buildings, Vol 15, Iss 3, Pp 210-218 (2019) |
| ISSN: | 2587-8700 1815-5235 |
| Popis: | Aims of research. A surface of revolution is generated by rotation of a plane curve z = f(x) about an axis Oz called the axis of rotation. This paper provides information on hyperboloids of revolution surfaces and their classification. Their geometric modeling, linear and materially nonlinear analysis are worked out. Methods. Hyperboloids of revolution middle surface is plotted using the software MathCAD. The linear and materially nonlinear numerical analyses of thin shells of the shape of an hyperboloid of revolution surfaces on stress-strain state is given in this paper, using the finite elements method in a computer software R-FEM, the material which we use in our model is concrete with isotopic nonlinear 2D/3D stress-strain curve for materially nonlinear analysis and linear stress-strain curve for linear analyses. Comparison is done with the result of the finite elements linear analysis of their strain-stress results. Results. That displacements in the investigated shells subject to self-weight, wind load with materially nonlinear analysis are bigger than which done by linear analysis, in the other side the displacements is similarity subjected to free vibration load case. Based on these results, conclusions are made for the whole paper. |
| Databáze: | OpenAIRE |
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