Postgraduate Course: Finite Element Analysis for Solids (MSc) (PGEE10006)
Course Outline
| School |
School of Engineering |
College |
College of Science and Engineering |
| Course type |
Standard |
Availability |
Not available to visiting students |
| Credit level (Normal year taken) |
SCQF Level 10 (Postgraduate) |
Credits |
10 |
| Home subject area |
Postgrad (School of Engineering) |
Other subject area |
None |
| Course website |
None
|
Taught in Gaelic? |
No |
| Course description |
The finite element method (FEM) (also called finite element analysis or FEA) originated from the need to solve complex problems in solid mechanics. FEM is used to obtain approximate numerical solutions to a variety of equations of calculus. Today it is used in a wide range of disciplines for solution of problems in solid/fluid mechanics, heat transfer, electromagnetism and acoustics. This course is an introduction to FEA as applied to elasticity problems in solid mechanics. The mathematical equations are developed using the virtual work basis of FEM and this is used to develop equations for one, two and three dimensional elements. As FEA is a computational tool this course includes practical exercises using the commercial package ABAQUS. A number of tutorials involving hand calculations are provided to aid understanding of the technique. |
Entry Requirements
| Pre-requisites |
|
Co-requisites |
|
| Prohibited Combinations |
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Other requirements |
None
|
| Additional Costs |
None |
Course Delivery Information
|
| Delivery period: 2010/11 Semester 2, Not available to visiting students (SS1)
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WebCT enabled: Yes |
Quota: None |
| Location |
Activity |
Description |
Weeks |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
| No Classes have been defined for this Course |
| First Class |
First class information not currently available |
| Exam Information |
| Exam Diet |
Paper Name |
Hours:Minutes |
Stationery Requirements |
Comments |
| Main Exam Diet S2 (April/May) | | 1:30 | 8 page book and graph paper | Open book exam |
Summary of Intended Learning Outcomes
By the end of the course, the student should be able to:
&· describe the analytical methods and procedures which the finite element programs use to analyse elastic solid structures;
&· be able to use the computer based finite element methods to solve simple problems by hand calculations;
&· identify and understand all the various matrix operations involved in the process;
&· use computer programs to analyse elastic structures, present results in appropriate graphical formats, carry out checks to assess the correctness of the output, and interpret results properly.
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Assessment Information
Coursework (40%) Exam (60%)
|
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
&· Introduction to FE terminology; steps of the analysis using an assumed displacement field approach for linear elastic analysis of structures.
&· Feeding a finite element program (ABAQUS) with geometric, physical and loading information; understanding and interpreting results from a FE program.
&· Introduction to plane stress, plane strain, axisymmetric, and 3D problems; degrees of freedom; stress-strain and strain-displacement relations.
&· Derivation of FE equilibrium equations using the virtual work principle; examples of derivation of stiffness and equivalent load vector for a two node truss element.
&· Beam, Triangular and quadrilateral elements; normalised coordinates; shape functions.
&· Isoparametric concept of mapping; derivation of element matrices; the need to use a Jacobian matrix; numerical integration for computing FE matrices.
&· Factors influencing the choice of a model, element and order of Gauss integration; concept of reduced integration and zero energy modes; acceptable distortion of elements; choice of mesh; convergence requirements; adaptive meshing.
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| Transferable skills |
Not entered |
| Reading list |
Recommended texts:
1. Cook, RD; Malkus, DS; Plesha, ME; Witt, RJ. Concepts and Applications of Finite Element Analysis, Wiley, 2002.
2. Zienkiewicz, OC; Taylor, RL. The Finite Element Method for Solid and Structural Mechanics, Butterworth-Heinemann, 2005.
3. Bathe, KJ. Finite Element Procedures, Prentice Hall, 1996.
4. Kim, NH; Sankar, BV. Introduction to Finite Element Analysis and Design, Wiley, 2009.
5. Smith, IM; Griffiths, DV. Programming the Finite Element Method, Wiley, 2004.
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| Study Abroad |
Not entered |
| Study Pattern |
Lectures: 18 hrs; Tutorials: 5 hrs; Computer labs: 10 hrs |
| Keywords |
Numerical methods, solid mechanics, elasticity |
Contacts
| Course organiser |
Dr Pankaj
Tel: (0131 6)50 5800
Email: Pankaj@ed.ac.uk |
Course secretary |
Mrs Laura Smith
Tel: (0131 6)50 5690
Email: laura.smith@ed.ac.uk |
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copyright 2011 The University of Edinburgh -
31 January 2011 8:05 am
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