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 24 Lecture 1: Introduction to FEM, Overview of Direct Stiffness Method - 1D Elasticity Tutorial 1: Introduction to Programming - Matlab, Octave, Excel; Localization
October 1 Lecture 2: Strong and Weak Forms, Weighted Residual Method, Lagrange Principle Tutorial 2: 1D Elastic Element: Localization, Benchmarks
October 8 Lecture 3: Aproximation Functions and Numerical Integration - Gauss Quadrature, Finite Elements Tutorial 3: 2D Trusses
October 15 Lecture 4: Finite Element Formulation for One-Dimensional Problems - Linear Elasticity Tutorial 4: Linear and Quadratic Bar Elements, Gauss Quadrature, Natural Coordinates
October 22 Lecture 5: Finite Element Formulation for One-Dimensional Heat Conduction Problems Tutorial 5: 1D Heat Conduction
October 29 Lecture 6: Finite Element Formulation for One-Dimensional Nonstationary Heat Conduction Problems Tutorial 6: 1D Nonstationary Heat Transfer
November 5 Lecture 7: Two-Dimensional Heat Conduction Problems Tutorial 7: 2D Heat Conduction
November 12 Mid-term test Tutorial 8: 2D Heat Conduction
November 19 Monday class Monday class
November 26 Lecture 9: Finite Element Formulation for Two-Dimensional Problems - Linear Elasticity Tutorial 9: 2D Problems - Plane Stress and Plane Strain Problems
December 3 Lecture 10: Finite Element Formulation for Beams Tutorial 10: Beams
December 10 Lecture 11: Numerical Aspects of FEM Part I Tutorial 10: Beams (continuation)
December 17 Lecture 11: Numerical Aspects of FEM Part II (reserve) Tutorial 11: A posteriori Error Estimation (optional)

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