BKA701 The Finite Element Method (Expanded Course)

Code BKA701
Name The Finite Element Method (Expanded Course)
Status Compulsory/Courses of Limited Choice; Courses of Free Choice
Level and type Post-graduate Studies, Professional
Field of study Civil Engineering
Faculty Faculty of Civil and Mechanical Engineering
Academic staff Jevgenijs Barkanovs, Andrejs Kovaļovs, Pāvels Akišins
Credit points 4.0 (6.0 ECTS)
Parts 1
Annotation The study course acquaints students with the theoretical and practical aspects used in the finite element analysis. The study course includes formulation of the finite element method and numerical procedures used for the building of finite element matrices and estimation of the numerical errors. The study course examines methods used for an efficient solution of the finite element equilibrium equations in nonlinear static, dynamic, buckling and thermal analyses. The study course gives students some modelling aspects and examines modern applications of the finite element method..
Contents
Content Full- and part-time intramural studies Part time extramural studies
Contact hours Independent work Contact hours Independent work
Introduction. Matrix algebra. 2 3 0 0
Finite element of shaft. 4 6 0 0
Finite element of bending beam. 2 3 0 0
Coordinate transformation. 2 3 0 0
Some modelling considerations. 2 3 0 0
Numerical errors. 2 3 0 0
Solution of equilibrium equations in static analysis. 2 3 0 0
Solution of equilibrium equations in nonlinear static analysis. 2 3 0 0
Solution of eigenproblems. 2 3 0 0
Frequency response analysis. 2 3 0 0
Solution of equilibrium equations in dynamic analysis. 4 6 0 0
Buckling analysis. 4 6 0 0
Finite element method program packages. 2 3 0 0
Practical works. Two dimensional beam. Two dimensional frame. Two dimensional truss. Laminated composite panel. 16 24 0 0
Practical works. Static, nonlinear static, eigenproblem, frequency response, dynamic, and buckling analyses. 16 24 0 0
Total: 64 96 0 0
Goals and objectives
of the course in terms
of competences and skills 		The study course acquaints students with the finite element analysis and provides a basis for an understanding of the complete solution process. The study course includes the following tasks: 1. To acquaint with a formulation of the finite element method and numerical procedures used for an evaluation of the finite element matrices and estimation of the numerical errors. 2. To provide in-depth knowledge of methods for an efficient solution of the finite element equilibrium equations in static, nonlinear static, dynamic and buckling analyses. 3. To develop skills in finite element modelling and correct application of modern finite elements.
Learning outcomes
and assessment 		Can understand and systematic to think as also to solve independently tasks of the finite element method. - Examination.
Knows various design aspects. - Personal work.
Knows various commercial finite element software (ANSYS, NASTRAN, LS-DYNA, ABAQUS) possibilities. - Personal work.
Able to calculate and design the structural elements. Can independently construct, calculate as also to execute the analysis of results. - Practical works.
Evaluation criteria of study results
Passed examination - 50%
Completed personal work - 30%
Completed practical works - 20%
 
Course prerequisites Mathematics, mechanics.
Course planning
Part CP ECTS Hours Tests Tests (free choice)
Lectures Practical Lab. Test Exam Work Test Exam Work
1 4.0 6.0 2.0 2.0 0.0 * *
[Extended course information PDF]