Modelling of Nonlinear Systems | Faculty of Technical Sciences

Subject: Modelling of Nonlinear Systems (17.M4505)

Native organizations units: Chair of Technical Mechanics

Type of studies	Title
Master Academic Studies	Technical Mechanics and Technical Design (Year: 1, Semester: Winter)

General information:

Category	Scientific-professional
Scientific or art field	Mechanics
ECTS	4

Introducing students to fundamental methods of analysis and modeling of physical and engineering problems.

Students acquire knowledge on analysis and design of engineering systems. In particular, they got a working knowledge of asymptotic methods and their application in engineering problems.

Basic modeling techniques. Units, dimensions and dimensional analysis. Asymptotic approximations. Application of asymptotic techniques in engineering - boundary layer. Multiple scales. The method of homogenization. Case studies.

Lectures, auditory/computer exercises. During the lectures fundamental methodological and practical aspects of modeling are presented. In practical classes acquired theoretical and methodological knowledge is applied in the analysis and modelling of physical and engineering systems. Special attention is paid to independent student work in case studies of actual physical and engineering systems and the use of computer in the analysis of mathematical models.

Authors	Title	Year	Publisher	Language
T. Witelski, M. Bowen	Methods of Mathematical Modelling	2015	Springer	English
Haug, E.J.	Computer Aided Kinematics and Dynamics of Mechanical Systems, Volume I: Basic methods	1989	Allyn and Bacon, Boston	English
Close, C.M., Frederick, D.K., Newell, J.C.	Modeling and Analysis of Dynamic Systems	2001	John Wiley & Sons, New York	English
Ahmed A. Shabana	Computational continuum mechanics Third edition	2018	Wiley	English
Mase, G.	Theory and problems of continuum mechanics	1970	McGraw-Hill, New York	English
D.E. Thompson	Design Analysis: Mathematical Modeling of Nonlinear Systems	1999	Cambridge University Press, Cambridge	English
Mark H. Holmes	Introduction to Perturbation Methods	1995	Springer-Verlag, New York	English
Howison, S.	Practical Applied Mathematics	2005	Cambridge University Press, Cambridge	English