Tópicos Avançados em Mecânica Estrutural
Objectives
The aim of the course is to allow students to learn some subjects that can be considered important in the area of Structural Mechanics. This is the case of structural optimization in the sense of obtaining improved structural designs from the point of view, for example, of weight (lighter) and mechanical strength (more resistant). The other subject is the study of the mechanical behavior of composite materials consisting of a fiber-reinforced matrix, arranged in several sheets to form a laminate, which are increasingly used to build structures in Mechanical Engineering. It is intended that students analyze these problems using commercial software for automatic calculation of structures commonly used in industry
General characterization
Code
12043
Credits
6.0
Responsible teacher
Pedro Samuel Gonçalves Coelho
Hours
Weekly - 4
Total - 56
Teaching language
Português
Prerequisites
To enroll in this course it is strongly recommended that the students had done successfully the previous classes on Solid Mechanics I/II.
Bibliography
Mechanics of Composite Materials, Robert M. Jones, Taylor & Francis, London, 1999.
Introduction to Optimum Design, Fourth Edition, Jasbir S. Arora, Science Direct, 2016
Teaching method
Theoretical lectures and laboratory sessions.
Evaluation method
The continuous evaluation finishes at the last day of classes in the semester and it consists of two projects and one test:
1st Project ( TR1 ) –Team work on structural modeling, analysis and optimization.
2nd Project ( TR2 ) – Team work involving the determination of macroscopic properties of a composite through the analysis of an RVE.
Test ( T ) – Individual test (open book test).
The projects require the preparation of reports.
To be approved in the discipline, the student must have positive weighted average for the three classifications, computed by the following formula,
0,35 x TR1 + 0,35 x TR2 + 0,3 x T >= 10val
In the case of failure in the continuous evaluation it is possible to perform an Exam (E) that should be graded higher than 9,5 val. The final note is computed by the following formula,
0,35 x TR1 + 0,35 x TR2 + 0,3 x E >= 10
Subject matter
Formulation of structural optimization problems. Optimization of dimensions, shape and topology. Constrained and not constrained optimization. The Lagrange Multiplier Concept. Linear and nonlinear optimization. Optimality conditions (KKT). Continuous and discrete optimization. Gradient based algorithms and meta-heuristics. Solution of size and topology structural optimization problems using OCTAVE (MATLAB) and ANSYS.
Introduction to composite materials made of fiber reinforced resins. Macromechanical behavior of a blade. Stress-strain relationships for anisotropic materials. Micromechanical behavior of a blade. Laminate behavior. Failure modes and failure criteria. Numerical models of composites: micro, meso and macro scale. Optimization of structures made of composite materials.