Upon completion of the course, the students will be able to:
• Develop comprehensive understanding of the fundamentals of the finite element method
• Develop the skills needed to build FEM models of physical problems and apply appropriate boundary conditions and the applied loads
• Implement the method in a finite element program
• Develop the appropriate knowledge of how commercial codes function
• Develop critical thinking in interpreting results from FEM analysis
• Avoid FE pitfalls, ensure accuracy and convergence
COURSE CONTENT AND SCHEDULE
7 June, 2016
Role of finite element in design
• Variational principles
• Minimum total potential Energy, and
• Weighted residual Methods • Introduction to course & design project assignment
• Euler-Lagrange; Rayleigh-Ritz; Galerkin and Collocation methods
• Solved examples
8 June, 2016
Fundamentals of finite element method
• Generalised concepts to determine element stiffness matrix generation
• Development of element stiffness matrix for bar elements • Equilibrium; Total potential energy & discretization
• Use of variational principle and weighted residual to determine element stiffness
• Solved Examples
9 June, 2016
Development of element stiffness matrix for truss elements
• Development of element stiffness matrix for truss and beam elements
• Consistent Loading
• Gauss Integration and Gauss Quadrature • Examine different types of truss elements in solved examples
• Examine different types of beam elements in solved examples
10 June, 2016
Development of 2D plane and axisymmetric element stiffness matrices
• Isoparametric transformation
• Jacobian matrix
• Development of 3D element stiffness matrix • Importance of Jacobian matrix
• Numerical integration using Gaussian Quadrature
• Reduced Integration
13 June, 2016
• Applied Finite Element
• Finite element programming & commercial codes
• Accuracy and limitations of method
Final Exam To Be Arranged Duration 3 hours
Daily lectures: 9:00AM-12:00 PM and 1:00-3:00 PM with 10 minutes break. Students will have access to power point presentations detailing all concepts.
Highly interactive and easy to follow with students participating in questions and answers.
ADDITIONAL COURSE REQUIREMENTS AND SKILLS
1) Finite Element Projects: Students are expected to develop a simple FE code during this course showing: (a) Pre-processing (Synthesis and Discretization), (b) Programming using triangular/quadratic element, (c) Element type, size and density, (d) Convergence, and (c) Post-Processing (Results).
2) Project Work Using Commercial Codes: Students will be asked to use a commercial code and apply it to a real design problem. The purpose is to enable students not only to synthesise real engineering problems but also to develop critical thinking skills in FEM.
3) Final Reports: Students will asked to submit two reports not exceeding FIVE pages each containing all aspects of FE project.
Students must have a solid background in fundamentals of engineering sciences, theory of elasticity, solid mechanics, differential equations and numerical analysis
Extensive and detailed power point presentations will be made available in advance of lectures, Tutorial Questions and Past Examinations. Recommended Textbooks:
Rao, S.S.,The Finite Element Method in Engineering, Pergamon Press.
Zienkiewicz, O. and Morgan, K., Finite Elements and Approximation, John Wiley & Sons.
Meguid, S.A., Integrated Computer-Aided Design of Mechanical Systems, Elsevier Applied Science Publishers.
Bathe, K. and Wilson, E., Numerical Methods in Finite Element Analysis, Prentice Hall
Mrs Licia Simonelli, email@example.com, Tel: 0223998212