| Initially, a short introduction to Finite Element Modelling and the links with Fundamentals of Numerical Methods will be given. The core part of the course is on various advanced topics of FEM, covering the application of constraint equations as an extension of boundary conditions and the principles of solving a typical Finite Element problem. Subsequently, the solution is analysed in terms of accuracy and common numerical issues such as locking. |
Methods to improve the quality or mitigate numerical issues while marginally compromising the efficiency of the solution, are addressed. The domain will then be extended to dynamic problems. Advancing to the different types of elements available in FEM will provide insight when to choose for shell elements over continuum elements, in light of their characteristics and limitations. Finally, the implications of geometrical nonlinearities will be addressed, shedding light on the solution processes required in cases related to large deformations and buckling of complex structures.
Why this course: This course provides the ability to work in an advanced way with the Finite Element Method, which differs (but is essential for) working in an advanced way with a Finite Element Package.
Within this course, the following knowledge and skills will be developed:
- Application of constraint equations by the Lagrangian multiplier technique and the penalty method, analysis of the choice between these methods and synthesis of the best choice for a given mechanical problem based on the main characteristics of the method and the problem at hand;
- Explanation of the basics of direct and iterative solvers for linear systems and their applicability and synthesis of the best solution method for a given problem in the mechanical domain;
- Explanation of the principles of modelling strategies for large and complex structures (e.g. sub-modelling and sub-structuring) and formulation of a solution approach for a given problem in the mechanical domain;
- Analysis of different types of dynamic analyses (natural frequency, harmonic and implicit or explicit transient), formulation of a solution and evaluation of the results of such a dynamic analysis;
- Analysis and evaluation of the accuracy of a FEM solution of a given mechanical problem, using error estimators;
- Recognition of numerical phenomena such as locking, and formulation of a strategy to resolve the negative effect of such phenomena for a given problem in the mechanical domain;
- Explanation of the differences between shell and continuum elements, and formulation of an effective modelling strategy for a mechanical problem in which the choice between these types of elements is relevant;
- Application of solution techniques for non-linear sets of equations including numerical stabilization methods;
- Analysis of geometrical nonlinearities that occur in structural analysis, synthesis of a modelling approach for a given nonlinear problem and evaluation of results of such a problem;
- Application of a linear stability analysis to structures and evaluation of the results of such an analysis.
Course highlights:
- Knowledge of the working principles of the FEM;
- Understanding of error, locking, shell elements widely used in FEA;
- Detailed explanation of types of dynamic analysis and their principles;
- Contact and geometrically nonlinear analysis, theory and application.
For whom: Professionals with knowledge on BSc level in Mechanical Engineering or equivalent. Recommended is a certain basis in Numerical Methods and Mathematics related to FEM. Abaqus and Matlab will be used in the course.
From whom:
- dr. A. Chatterjee
- dr.ir. E.S. Perdahcioglu
Practical information: This is a regular master course, in which students as well as professionals can participate. The lectures are accompanied by assignments, in which the knowledge can be applied and skills can be developed. Lecture notes as well as microlectures will be distributed.
Literature: A part of the theory is taken from the book: Concepts and Applications of Finite Element Analysis, R.D. Cook, D.S. Malkus, M.E. Plesha, R.J. Witt, 4th ed., ISBN 0-471-35605-0
Location: University of Twente, Enschede, NL
Duration: The course is scheduled annually November till January. It requires 140 hours of study load.
Costs: € 2067,15
More information:
Content of the course: dr. A. Chatterjee, a.chatterjee@utwente.nl
Registration: Registration form | Faculty of Engineering Technology (ET)