20 credits at level HE6
The purpose of this module is to develop and extend student knowledge, understanding and ability in the theory, practice and utility of Finite Element and Finite Difference methods of solution to a range of engineering problems. The module will investigate solutions to spaceframe, beam, plate, solids problems using the stiffness matrix and load/displacement equation approach and solve benchmark problems related to force, temperature and/or time dependancy.
The module will also look at the application of Finite Difference methods of solution to simple engineering problems.
Principles of finite element analysis - advantages, disadvantages, limitations and caution.
The concept and use of Finite Element Analysis for investigating physical phenomena.
Concept of Stiffness Matrices and the Force/Displacement equation for pin jointed bar element trusses and frames in 3D space and the concept and use of the Transformation Matrix.
Beam and Frame analysis by the Force/Displacement Equation.
Virtual work equation.
Shape functions for bars and beams.
Discritisation, Mesh properties and optimisation routines.
Time and frequency analysis
FE formulation for plates and solids.
Shells and idealisations. Plane Stress and Plane Strain.
Application to Fibre Reinforced Composite Materials.
Use of industry standard FEA software.
Conditioning Stability and convergence applied to: heat transfer problems, spring-mass-damper systems, beams and other engineering problems.
Numerical and graphical presentation of results.
Finite Difference techniques applied to beams.
The delivery of this module will be by formal lectures/tutorials/computer workshops. Worksheets will be issued students to familiarise themselves with the use FEA software and tutorial exercises will be set that deal with particular aspects of theory and solution to typical engineering problems. Assessment is by three coursework assignments of equal weighting
when you have successfully completed this module you will:
to demonstrate that you have achieved the learning outcome you will:
|1.||have a knowledge and understanding of mathematical and computer based models relevant to Finite Element methods of solution and to their application to engineering problems.||produce solutions, both paper based and software based, to static and dynamic problems using FEA techniques, including fibre reinforced composites.|
|2.||have an awareness of developing technologies in FEA techniques.||adopt and use appropriately FEA software to produce solutions to engineering problems.|
|3.||have the ability to extract data pertinent to an unfamiliar problem, and apply its solution using computer based engineering tools when appropriate||produce result plots and results tables and interpret their meaning, significance and make conclusions.|
|4.||have the ability to apply mathematical and computer-based models for solving problems in engineering, and the ability to assess the limitations of particular cases||perform Finite Element analyses on components and systems of components and interpret results and make recommendations.|
|5.||have an understanding of and the ability to apply a systems approach to engineering problems||produce analysis reports outlining the analysis procedure and justifying the approach taken|
|6.||have an extensive knowledge and understanding of a wide range of engineering materials and components||select appropriate materials, configurations and geometrical arrangements of components and systems for given engineering situations|
|7.||have an understanding use of technical literature and other information sources||extract pertinent data and information from literature and information sources|
Your achievement of the learning outcomes for this module will be tested as follows:
|Description||Static FEA Assignment||Dynamic FEA Assignment||End Exam|
Before taking this module you must have successfully completed the following:
No restrictions apply.
S P Timoshenko & J N Goodier, (1970) Theory of Elasticity, McGraw-Hill
S P Timoshenko & S Woinowsky, (1970) Theory of Plates & Shells, McGraw-Hill
F L Stasa, (1985) Applied Finite Element Analysis for Engineers, Rienhart
M J Fagan, (1997) Finite Element Analysis, Longman
G D Smith, (1985) Numerical Solution of Partial Differential Equations: Finite Difference Methods, Oxford
E J Hearn, (1993) Mechanics of Materials 2nd Edition, Pergamon
R Togood ProMechanica (2005)
J Fagan Introduction to FEA (2002)MIT opensource examples
N Kim & B Sankar, (2009) Intro to Finite Element Analysis & Design. Wiley
|Host Subject Group:||Engineering|
|User Name||Date Accessed||Action|