COMPUTATIONAL STRUCTURAL MECHANICS

Università degli Studi
"G. d'Annunzio"

Chieti - Pescara

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General Module

Course Sheet

Course code:

AI723

Academic Year of enrolment:

2023

Year of supply:

2023/2024

Type of Course:

Characterising

Degree:

Course of 2nd Cycle Degree in BUILDING ENGINEERING

Disciplinary Sector:

Construction Techniques

Is part of:

INTEGRATED COURSE IN SPACE STRUCTURES AND COMPUTATIONAL MECHANICS

Location:

PESCARA

Credits:

Programme Year:

Professor and Collaborators:

SPACONE ENRICO

CAMATA Guido

Cycle:

Second semester

Hours of classroom activity:

Individual study hours:

Objectives

The main objective of the course is to provide the basic knowledge, skills, and theoretical and practical foundations for the correct use of the direct stiffness and finite element methods.

Contents

Computational mechanics relies on numerical methods that allow the solution of complex problems in all fields of Engineering and Applied Sciences. It is therefore fundamental to master the basics of the Finite Element Methods, the central methods of computational mechanics, to be aware of the errors and simplifications that are introduced in the finite element computations.

Extended Syllabus

Linear Finite Element Analysis - basic concepts:

a. Basic equations of continuum mechanics (equilibrium, compatibility, material constitutive law).
b. Review of energy principles.
c. Bars and Beams (Euler-Bernoulli and Timoshenko) – 1D Elements
d. Displacement formulations for bar and beam elements (shape functions). Element stiffness matrix and its physical meaning
e. Assembly of stiffness matrix and external force vector
f. Boundary conditions
g. Solution of system of linear equations
h. Force recovery
i. Convergence to the exact solution (h- and p- convergence)
l. Finite Element formulations
m. Interpolation functions and approximations
n. Integration rules
o. Basics of 2D and 3D elements
p. Examples

Recommended Bibliography

Class notes by Instructor

Suggested textbooks (not required):
Edward L. Wilson THREE DIMENSIONAL STATIC AND DYNAMIC ANALYSIS OF STRUCTURES A Physical Approach With Emphasis on Earthquake Engineering University of California at Berkeley. http://www.berkeley.edu
Carlos A. Felippa, INTRODUCTION TO FINITE ELEMENT METHODS, Department of Aerospace Engineering Sciences and Center for Aerospace Structures University of Colorado Boulder, Colorado 80309-0429, USA. http://www.colorado.edu/engineering/CAS/courses.d/IFEM.d/Home.html
Robert D. Cook, Davis S. Malkus, Michael E. Plesha, Robert J. Witt, CONCEPTS AND APPLICATIONS OF FINITE ELEMENT ANALYSIS, University of Wisconsin – Madison, John Wiley & Sons Inc. 2002.
O. C., Taylor, R. E., THE FINITE ELEMENT METHOD, 4th ed., McGraw-Hill, London, Vol. I: 1988, Vol II: 1993.
Bathe J.J. FINITE ELEMENT PROCEDURES, MIT University, Prentice Hall, 1996

Teaching Methods

The teaching activity includes a theoretical part (with lectures and exercises carried out by the teacher in the classroom) and an applicative part (with assignment of simple projects that will be developed by the student under the supervision of the teacher, according to weekly review cycles)

Evaluation methods

Verification of learning:

The exam consists in:
1) two midterm written examinations that can be made up during the regular exam dates;
2) the discussion of the term project.

Università degli Studi
"G. d'Annunzio"

Chieti - Pescara

Aree

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