Plates and Shells
Keywords |
Classification |
Keyword |
OFICIAL |
Applied Mechanics |
Instance: 2012/2013 - 1S
Cycles of Study/Courses
Acronym |
No. of Students |
Study Plan |
Curricular Years |
Credits UCN |
Credits ECTS |
Contact hours |
Total Time |
MIEM |
10 |
Syllabus since 2006/2007 |
5 |
- |
6 |
56 |
160 |
Teaching language
Portuguese
Objectives
This course aims to acquaint students with theories and methods that are necessary to understand engineering problems, especially related with plates and shells. This course also aims to develop students’ skills (analysis, summary and critical observation) through assignments using Maple symbolic programming to study plates and/or laminated anisotropic.
By the end of the semester, students should:
- be able to understand papers about plates and shells, as well as codes;
- be able to derive fundamental equations to investigation problems related with plates and shells;
- be able to obtain analytical solutions for plates and shells;
- have a notion about plates and shells limitations;
- be able to obtain solutions by finite elements of plates and shells using commercial packages; have a notion about the limitation of the elements and know how to chose the proper ones.
Program
Fundamental concepts of continuum mechanics
Classical plate buckling theory
Solution methods: Ritz method, Galerkin and Kantorovich, numerical methods;
Reissner-Mindlin’s theory
Solution methods based on Fourier series and on general Fourier series, approximate analytical methods and numerical methods
Von Kármán’s theory
Shell deformation and stress
M-theory and revolution shells
Buckling theory and cylindrical shells
Buckling theory for revolution shells- applications
Force method to calculate stress in shell components
Finite element method for plates and shells
Mandatory literature
Ugural, A. C.;
Stresses in plates and shells. ISBN: 0-07-116793-5
Flugge, Wilhelm;
Stresses in shells. ISBN: 3-540-05322-0
Cox, .H. L.;
The Buckling of Plates and Shells
Reddy, J. N.;
Theory and analysis of elastic plates and shells. ISBN: 978-0-8493-8415-8
Reddy, J. N.;
Mechanics of laminated composite plates and shells. ISBN: 0-8493-1592-1
Timoshenko, S.;
Theory of plates and shells. ISBN: 0-07-085820-9
J.F. Silva Gomes; Análise de Tensões em Placas, Cascas e Resevatórios, INEGI, 2007. ISBN: 978-972-8826-13-0
Teaching methods and learning activities
Classes will be based on exposition and discussion of course’s themes, as well as problem solving. Classes will be given with the support of an overhead projector (theoretical classes) and computer (practical classes). Students will be asked to do assignments using Maple program. These assignments should be presented both written and orally.
Software
Maple, ANSYS, Abaqus e Matlab
Evaluation Type
Distributed evaluation without final exam
Calculation formula of final grade
0.50* (average grade of the assignments) + 0.50* (grade of the exam)
Special assessment (TE, DA, ...)
Students with a special status will be assessed as ordinary students.
Classification improvement
Students can improve their grade by doing an assignment or an exam.