132NAST - Numerical analysis of structures

Lecturer: Tomáš Krejčí


Subject anotation


Short description: Overview of direct stiffness method of structural mechanics. Weak solution of one-dimensional elasticity equations. Galerkin method, Gauss integration, Principle of the Finite Element method. Steady state heat conduction in one dimension. Two-dimensional heat conduction problem, Triangular finite elements. Two-dimensional elasticity problems. Convergence of FEM, Error estimates.

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Date Lecture Tutorial
September 29 Dean's day Dean's day
October 6 Introduction to FEM, Overview of Direct Stiffness Method - 1D Elasticity Introduction to Programming - Matlab, Octave, Excel; Localization
October 13 Strong and Weak Forms, Weighted Residual Method, Lagrange Principle 1D Elastic Element: Localization, Benchmarks
October 20 Aproximation Functions and Numerical Integration - Gauss Quadrature, Finite Elements 2D Trusses
October 27 Finite Element Formulation for One-Dimensional Problems - Linear Elasticity Linear and Quadratic Bar Elements, Gauss Quadrature, Natural Coordinates
November 3 Finite Element Formulation for One-Dimensional Heat Conduction Problems 1D Heat Conduction
November 10 Finite Element Formulation for One-Dimensional Nonstationary Heat Conduction Problems 1D Nonstationary Heat Transfer
November 17 Public holiday Public holiday
November 20 Two-Dimensional Heat Conduction Problems 2D Heat Conduction
November 24 Finite Element Formulation for Two-Dimensional Problems - Linear Elasticity 2D Problems - Plane Stress and Plane Strain Problems
December 1 Mid-term test 2D Problems - Plane Stress and Plane Strain Problems
December 8 Finite Element Formulation for Beams Beams
December 15 Numerical Aspects of FEM I Beams
December 22 Numerical Aspects of FEM II A posteriori Error Estimation

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