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
October 27 Introduction to FEM, Overview of Direct Stiffness Method - 1D Elasticity Introduction to Programming - Matlab, Octave, Excel; Localization
October 4 Strong and Weak Forms, Weighted Residual Method, Lagrange Principle 1D Elastic Element: Localization, Benchmarks
October 11 Aproximation Functions and Numerical Integration - Gauss Quadrature, Finite Elements 2D Trusses
October 18 Finite Element Formulation for One-Dimensional Problems - Linear Elasticity Linear and Quadratic Bar Elements, Gauss Quadrature, Natural Coordinates
October 25 Dean's Day Dean's Day
November 1 Finite Element Formulation for One-Dimensional Heat Conduction Problems 1D Heat Conduction
November 8 Finite Element Formulation for One-Dimensional Nonstationary Heat Conduction Problems 1D Nonstationary Heat Transfer
November 15 Two-Dimensional Heat Conduction Problems 2D Heat Conduction
November 22 Finite Element Formulation for Two-Dimensional Problems - Linear Elasticity 2D Problems - Plane Stress and Plane Strain Problems
November 29 Mid-term test 2D Problems - Plane Stress and Plane Strain Problems
December 6 Finite Element Formulation for Beams Beams
December 13 Numerical Aspects of FEM I Beams
December 20 Numerical Aspects of FEM II A posteriori Error Estimation

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