Sumários
Isoparametric elements.
14 dezembro 2017, 08:00 • Carlos Manuel Tiago Tavares Fernandes
Justification of the need to use isoparametric elements: curved boundaries, generation of compatible approximation functions and integration of the weak form.
The transformation of coordinates for isoparametric elements. Examples of isoparametric elements: triangular (3 and 6 nodes) and quadrilateral (4 and 9 nodes).
Theorem of coordinate transformation in 2D space for evaluating area integrals.Application to the calculation of terms of the equivalent nodal forces vector.
Evaluation of derivatives of functions defined in natural coordinates in order to global coordinates: the derivative theorem of the function defined implicitly. Application to the calculation of terms of the stiffness matrix.
Numerical integration rules in 1D and 2D (quadrilateral domains).
Elementos isoparamétricos
7 dezembro 2017, 10:00 • João António Teixeira de Freitas
Generalização da geometria dos elementos finitos. Elementos isoparamétricos. Elementos 3D. Revisões.
The problem of beam torsion.
7 dezembro 2017, 08:00 • Carlos Manuel Tiago Tavares Fernandes
The problem of beam torsion. Combination with flexure and shear effects. The grid element. The plane frame element.
Solution of an exam plate problem.
Plate elements based on Reissner-Mindlin's theory.
5 dezembro 2017, 15:30 • Carlos Manuel Tiago Tavares Fernandes
Application of the ACM thin plate element to the analysis of a plate subjected to a hydrostatic load. Assembling of elementary terms in global ones. Physical meaning of the terms of the stiffness matrix and vector of equivalent nodal forces. Evaluation of the deformed shape and tensor moments in the elements. Checking the lack of equilibrium at the interelemintar boundary.