Computational Mechanics
Objectives
The course in Computational Mechanics aims to provide the student with a theoretical background and programming skills at the level of numerical simulation of static and dynamic mechanical systems. This is an important tool in the practice of aerospace engineering because basically, the modern structural analysis in an academic, business or industrial environment is computer-assisted (CAE). For this reason, the course puts students in contact, on the one hand, with commercial finite element reference software (ANSYS and LS-Dyna), and multibody dynamics (SW Motion). On the other hand, the entire programming part is carried out in an OCTAVE environment so that the student develops their code generation capabilities tailored to the needs of problems that may arise in engineering practice.
General characterization
Code
13155
Credits
6.0
Responsible teacher
Marta Isabel Pimenta Verdete da Silva Carvalho, Pedro Samuel Gonçalves Coelho
Hours
Weekly - 4
Total - 52
Teaching language
Português
Prerequisites
N/A
Bibliography
Problemas de Elementos Finitos em MATLAB
A.J.M. Ferreira
Fundação Calouste Gulbenkian
Fundamentals of Finite Element Analysis, D.V. Hutton, McGraw-Hill
Planar Multibody Dynamics Formulation, Programming with MATLAB®, and Applications
P.E. Nikravesh
CRC Press
Teaching method
Theoretical Lectures and laboratory sessions are included. At the lectures notes at the blackboard are given as well as powerpoint slideshows. A the Lab sessions the students interact with PC machines using the installed software (OCTAVE and ANSYS).
Evaluation method
The evaluation comprises two elements
Project ( TR ) – Individual or teamwork, with a presentation in the last week of classes.
Test ( T ) – Written individual assessment test (with form consultation).
Frequency - obtained through the submission and presentation of the work and the grade for this element must be positive, i.e. TR>= 9.5val. Regardless of the assessment period, obtaining frequency to be admitted to the assessment is necessary.
The work requires the preparation of a report. To pass the subject through continuous assessment, the grade is given by:
0.7 x TR + 0.3 x T
(>= 9.5val to pass. The minimum grade for each assessment element is 9.5val)
If the student fails the continuous assessment or wishes to improve the grade obtained, he/she must take an Exam (E). The grade is given by:
0.7 x TR + 0.3 x E
(>= 9.5val to pass)
The student may not repeat the work during the Exam period. The minimum exam score is 9.5 points.
Subject matter
Review of linear algebra and, in particular, index notation in vectorial/matrix calculus. Introduction to the Finite Element Method. Bar and beam finite elements. Assembly. Coordinate transformation. Static, dynamic, and buckling analysis. Use of the finite element commercial program ANSYS and introduction to its programming language, APDL. Use of the non-linear finite element commercial program LS-DYNA: numerical integration rules. Mesh quality, meshing and remeshing. Composite laminate materials modelling. Cohesive Zone Modelling: adhesive joints modelling. Introduction to the Multibody Dynamics: kinematic analysis of planar mechanisms.