MJ2484 Advanced Mechanics and Finite Element Methods 6.0 credits
This course will be discontinued.
Last planned examination: Spring 2024
Decision to discontinue this course:
The course is discontinued at the expiration of the autumn semester 2024 according to a decision by the Dean of the ITM School : M-2022-0626. Decision date: 22/04/2022.
The course is given for the last time during spring semester 2022. Final opportunity for examination will be given during spring semester 2024.
Content and learning outcomes
Course contents
The main focus of the course lies on both developing theoretical concepts and applying the finite element method practically. Based on the mechanical behaviour of simple mechanical systems like pin joint designs, fundamental concepts in solid mechanics analysis are introduced. Thereafter, focus is on demonstrating how general elastic equations established in the continuum mechanics is discretised and how an approximated solution for these equations can be achieved.
Intended learning outcomes
Complex mechanical vibrations are mainly studied with a focus on analytical and numerical methods for application in machine design. Motion equations are derived using Lagrange principle. One-dimensional systems are applied to learn more about free oscillations, forced oscillations, impulse responses and random excitation. Systems with several degrees of freedom are applied to study eigenvectors and modal analysis. Finite Element Methods is used to analyse vibration behaviour of more complex models with several degrees of freedom.
After passing the course, the student should be able to:
1. Explain and apply concepts and approximations in the theory of finite element methods (FEM)
2. analytically model and analyse responses of elastic structures
3. Use a commercial FEM tool to carry out analyses of strength of machine elements
Literature and preparations
Specific prerequisites
Engineering mathematics, mechanics, BSc level
Only for students who follow the Master's programme (two-year) TAETM
Recommended prerequisites
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- PRO1 - Project work, 2.0 credits, grading scale: A, B, C, D, E, FX, F
- TEN1 - Written exam, 4.0 credits, grading scale: A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Opportunity to complete the requirements via supplementary examination
Opportunity to raise an approved grade via renewed examination
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.