Sumários
AP2 - 1D Problems
23 setembro 2019, 09:30 • Miguel Matos Neves
Prob 1 and Prob 3 (Colectania).
Choice of approximation function uh, coordinate transformation from [xe, xep1] to [-1,1], derivatives and jacobian.
AT3 - 1D Problems
23 setembro 2019, 08:00 • Miguel Matos Neves
Application of FE for discrete problems (from the book): 1) electric circuit; 2) net of circular pipes. Weak formulation for the classic bar in tension. Integration by parts and terms of boundary conditions (Dirichelet and Neumann). Bi-linear and linear form.
AT2 - 1D Problems
18 setembro 2019, 09:30 • Miguel Matos Neves
Discrete and continuous models of 1D problems in mechanics. Direct stiffness method to obtain a finite element matrix of discrete models: axial spring, torsional spring, electric circuit, viscous flow in circular pipes (z=0). Deduction of differential equations, boundary conditions and their analytical solutions for continuous systems (Strong formulation) : classic bar in tension, classic rod in torsion, cable (catenary), Euler-Bernoulli beam, thermal conduction and convection (variable change and solutions in theta=Troom-T).
AP1 - Unidimensional Problems
16 setembro 2019, 10:30 • Miguel Matos Neves
Differential equation for Torsion of a bar. Differential equation for conduction and convection with a bar. Prob 2 (Colectanea).
AP1 - Unidimensional Problems
16 setembro 2019, 09:30 • Miguel Matos Neves
Differential equation for Torsion of a bar. Differential equation for conduction and convection with a bar. Prob 2 (Colectanea).