Progettazione agli Elementi Finiti
Finite Elements in Mechanical Design Edoardo Mancini
For the comprehension of the subject covered in the course, the student need to have the knowledge acquired in machine design, reliability and safety of mechanical systems and the courses that are preparatory.
KNOWLEDGE AND UNDERSTANDING:
The course aims to give students basic and advanced knowledge on the finite element method, about its use in mechanical design and, in general, in all problems of engineering interest. The course will integrate the knowledge acquired in machine design, reliability and safety of mechanical systems and the courses that are preparatory. The course will enrich the student's ability in understanding and identifying problems and, accordingly, in formulation of solutions. In addition, the knowledge acquired will allow the student to select and apply methods of modeling based on the numerical analysis in order to simulate the behavior of mechanical components, and improve their performanceCAPACITY TO APPLY KNOWLEDGE AND UNDERSTANDING:
In order to address advanced design themes, even of considerable complexity, and treat the innovation and development of new products through the application of knowledge, students must demonstrate that they acquired the ability of creating finite element models of mechanical components or simple assemblies. This ability will be assessed through a number of vocational skills, such as: 1. the ability of understanding how the component can be modeled numerically; 2. the ability of identifying whether the problem can be properly simplified or divided into more basic problems; 3. the ability of assigning the correct boundary conditions and loading, and interpreting properly the results of finite element analysesTRANSVERSAL SKILLS:
The student will be required to solve an engineering problem using the finite elements method, the project will be carried out individually and will lead to the drafting of a report. This will improve the degree of independence of judgment and communication skills of students, as well as the ability to learn independently and to draw conclusions
The couse is divided in a theoretical part, where the basic Finite Element theory is presented, and an practice part, where the student is trained on the use of commercial FE codes.
Theoretical part. Matrix strucutral analysis, concept of shape or displacement function, deformation matrix, elasticity matrix, stiffness matrix. Assembly of the stucture stiffness matrix. Loads and constraints application. Element types: truss, beam, three and four node plane elements. Plane stress, plane strain, and axialsymmetric formulation. Isoparametric elements. 3D elements. Outline on non-linear solution preocedures: contact, geometric and material non-linearity. Eigenvalue analysis, dynamic problems and buckling. Evaluation of mesh quality.
Practice part. Training on commercial FE codes (Ansys Workbench, MSC/Marc). Case studies and practice exercises in the classroom.
Development of the examination
LEARNING EVALUATION METHODS
two tests will be used:
- oral examination on the theoretical topics explained during the course
- the discussion of a report where the student explain how to solve a complex engineering problem using the finite element method.
The project will be carried out individually and will lead to the drafting of a report.
LEARNING EVALUATION CRITERIA
The student will be evaluated according to his comprehension of the Finite Element Method and his ability of apply it to complex problem usign a commercial software. Therfore, the ability will be assessed through a number of vocational skills, such as: 1. the ability of understanding how the component can be modeled numerically; 2. the ability of identifying whether the problem can be properly simplified or divided into more basic problems; 3. the ability of assigning the correct boundary conditions and loading, and interpreting properly the results of finite element analyses.
LEARNING MEASUREMENT CRITERIA
The learning measurement will be done on the basis of the confidence and the understanding shonw by the student during the exam
FINAL MARK ALLOCATION CRITERIA
The final mark will be the average of the mark given to the report and the one given to the oral examination
.D. Cook, D.S. Malkus, M.E. Plesha, R.J. Witt, "Concepts and Applications of Finite Element Analysis, Wiley
G. Belingardi, "Il Metodo degli Elementi Finiti nella Progettazione Meccanica, Levrotto&Bella
G. Santucci, "Dispense del Corso di Costruzione di Macchine
O.C. Zienkiewicz, The Finite Element Method, McGraw-Hill."
- Ingegneria Meccanica (Corso di Laurea Magistrale (DM 270/04))