Plates and Shells

Code:

EM0072

Acronym:

PC

Keywords
Classification	Keyword
OFICIAL	Applied Mechanics

Instance: 2012/2013 - 1S

Active?	Yes
Web Page:	http://paginas.fe.up.pt/~ldinis/placasecascas.html
Responsible unit:	Applied Mechanics Section
Course/CS Responsible:	Master in Mechanical Engineering

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.