# NUMERICAL METHODS FOR STRUCTURAL ANALYSIS (UNIT 2) cod. 1004341

1° year of course - Second semester
Professor
Tecnica delle costruzioni (ICAR/09)
Field
Ingegneria civile
Type of training activity
Characterising
24 hours
of face-to-face activities
3 credits
hub: -
course unit
in - - -

Integrated course unit module: NUMERICAL METHODS FOR STRUCTURAL ANALYSIS

## Learning objectives

The aim of the course is to give the basis for a correct numerical modelling of generic structures with the finite element method

## Prerequisites

Structural mechanics
Technical structural mechanics

## Course unit content

Basic concepts of the finite element method
Isoparametric formulation
Structural discretisation with finite elements.
Use of finite elements in non linear problems
Some more aspects about the finite element method

## Full programme

Structural discretisation with finite elements.Choice of the finite element and of the shape functions. Shape functions in the local reference system and their derivatives. Examples of linear shape functions. Isoparametric elements: convergence requirements. Lagrangian and Serendipidy elements. Isoparametric elements in one, two and three dimensions.Numerical integration methods. Variable transformation in 1D, 2D, 3D. Gauss rule. Accuracy of the numerical integration. Examples.Use of finite elements in non linear problemsEigen analysis: linear buckling problems (geometry stiffness matrix), vibration mode shapes of a structure (mass matrix). Material non linear problems in static and dynamic situations.

## Bibliography

Cook, R.D., Malkus D.S., Plesha, M.E.: “Concept and application of finite element analysis”, 4th edition, John Wiley & Sons, 2002.
Zienkiewicz, O.C.: “The finite element method”, Mc Graw-Hill, 2000.

## Teaching methods

Theoretical and practical Lectures, use of the pc for the finite element analysis of structural problems

## Assessment methods and criteria

Development of a project and oral examination

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