Subject Datasheet

Download PDF
Budapest University of Technology and Economics
Faculty of Transportation Engineering and Vehicle Engineering
1. Subject name Nonlinear mechanical oscillations
2. Subject name in Hungarian Nemlineáris mechanikai lengések
3. Code BMEKOJSD003 4. Evaluation type exam grade 5. Credits 4
6. Weekly contact hours 2 (0) Lecture 1 (0) Practice 0 (0) Lab
7. Curriculum
PhD Programme
8. Role
Basic course
9. Working hours for fulfilling the requirements of the subject 120
Contact hours 42 Preparation for seminars 12 Homework 28
Reading written materials 14 Midterm preparation 0 Exam preparation 24
10. Department Department of Railway Vehicles and Vehicle System Analysis
11. Responsible lecturer Dr. Béda Péter
12. Lecturers Dr. Béda Péter
13. Prerequisites  
14. Description of lectures
Equilibrium of a mechanical system, stability of the equilibrium (definitions, stability and instability conditions). Stability of motions. Notion and construction of the Lyapunov function. Lyapunov~s direct and indirect method, the Routh-Hurwitz criterion. Nonlinear stability theory, notion of the bifurcation, soft and hard loss of stability. Reduction methods: central multitude method, Lyapunov-Schmidt reduction. Bifurcation equations, numerical methods of the bifurcation theory.
15. Description of practices
Examples from the topics of the lessons.
16. Description of labortory practices
17. Learning outcomes
A. Knowledge

  • Methods of the nonlinear mechanics.
B. Skills

  • Description of a nonlinear mechanical system behaviour, model building.
C. Attitudes

  • Being open to understand and learn novelties on that given domain.
D. Autonomy and Responsibility
  • Evaluation and choice of optimal model element.
18. Requirements, way to determine a grade (obtain a signature)
Semester note upon succesful realisation of the homework and an oral exam.
19. Opportunity for repeat/retake and delayed completion
Essay secondary deadlines precised in the lessons requirements.
20. Learning materials
Effective date 27 November 2019 This Subject Datasheet is valid for Inactive courses