21010048 - BASIC OF COMPUTATIONAL STRUCTURAL MECHANICS

The course provides an overview of some aspects of computational mechanics, able to improve basic knowledge and skill of structural mechanics that architecture students acquired and developed during undergraduate training.

It will give the key items of implementation for a structural analysis, through both theoretical presentations and practices making use of very common commercial software.



Course topics cover a wide variety of applications and mechanical problems, to which in particular the Finite Element Method (FEM) is applicable, according to the following outlines:

1) linear algebra and analysis (just enough);

2) linear elastic analysis of both 1D and 2D structures;

3) modal analysis;

4) theoretical formulation for general problems.

FORMICA GIOVANNI

scheda docente | materiale didattico

Programma

In the last seventy years, the evolution of computing power led to the development of modeling techniques and numerical strategies, first addressed only to analytic and often complicated procedures, aimed at structural analysis.
The Finite Element Method (FEM) plays nowadays a naturally multidisciplinary role, where physical models can be implemented by simple modular schemes and iterative algorithms.

The course focuses on this methodology and essentially applies to beam frame systems.
It will provide the basic notions to study structural problems via a computational frameworks, employing as starting point models usually formulated and analyzed during educational training of engineering and architectural schools.
Making more attractive the followed approach than usual courses for engineering schools, it also offers a different point of view for engineering students, with a more intuitive understanding of computational structural mechanics, models and numerical methods therein.

Modal analysis will be regarded in FEM as a natural extension of the linear elastic analysis.
It will be framed within few lectures for acquiring a basic knowledge of structural dynamics, also mentioning key aspects of the technical codes in order to better understand the structural behaviour under seismic loading conditions.

Moreover, the equilibrium field equations will be formulated in a general mathematical format, so as to have an overview of their use in general-purpose softwares, such as COMSOL MultiPhysics, a program able to simulate generic physical problems.


Finally, the course includes several hours of practices, making use of SAP2000, a very common commercial software.


Testi Adottati

T.J.R. Hughes. The Finite Element Method. Dover Publications, 2000.

Bibliografia Di Riferimento

T.J.R. Hughes. The Finite Element Method. Dover Publications, 2000. O. C. Zienkiewicz, R. L. Taylor, J. Z. Zhu : The Finite Element Method: Its Basis and Fundamentals, Butterworth-Heinemann, (2005) O. C. Zienkiewicz, R. L. Taylor, J. Z. Zhu : The Finite Element Method for Solid and Structural Mechanics, 1967, McGraw Hill, New York Argyris, J.H and Kelsey, S. Energy theorems and Structural Analysis. Butterworth Scientific publications, London, 1954 T.Y Yang, Finite Element Structural Analysis, Prentice-Hall, Inc, Englewood, NJ, 1986. K. J. Bathe: Numerical methods in finite element analysis, Prentice-Hall (1976)

Modalità Erogazione

The course is taught by lectures and practical exercises. Guided practice on workstations consists of the use of both general-purpose softwares (eg., Comsol Multiphysics, Wolfram Mathematica) and more specific softwares such as SAP2000. If the University will extend measures adopted for COVID-19 health emergency, guidance for remote studies and assessment will be implemented. In particular, live lectures will be held on software platform as it will be detailed at the beginning of the course.

Modalità Frequenza

Students are strongly encouraged to attend to their class for both theory and practice. According to the Degree programme teaching regulation, at least 75% of attendance needs to take the final examination during the current academic year.

Modalità Valutazione

The final assessment will be a presentation and discussion of an in-depth investigation on one specific topic, chosen among those presented during the course. Both self and group works are admitted. If the University will extend measures adopted for COVID-19 health emergency, guidance for remote studies and assessment will be implemented. In particular, final assessment will be held on software platform as it will be detailed at the beginning of the course.