Course code: wb1418 (extended course: wb1419)

Course name: Engineering Dynamics

This concerns a course

DUT credit points: 2

ECTS credit points: 3

Faculty of Mechanical Engineering and Marine Technology

Section of Engineering Mechanics

Lecturer(s): Prof. Dr. Ir Daniel Rixen

Tel.:  015 - 27 81523 / 85733

Catalog data:

dynamical systems, solid mechanics, equations of motion, continuous system, discretization, Finite Elements, harmonic response, mechatronics, vibrations

Course year:

MSc 1^st year

Semester:

1A / 1B

Hours per week:

2

Other hours:

16

Assessment:

Oral exam

Assessment period:

1B, 2B

(see academic calendar)

Prerequisites (course codes):

Statics and Strength of materials (e.g. wb1214 and wb1309), Dynamics (e.g. wb1308), )

Follow up (course codes):

Detailed description of topics:

The dynamic behavior of structures (and systems in general) plays an essential role in engineering mechanics and in particular in the design of controllers. In this master course, we will discuss how the equations describing the dynamical behavior of a structure and of a mechatronical system can be set up. Fundamental concepts in dynamics such as equilibrium, stability, linearization and vibration modes are discussed. Also an introduction to discretization techniques to approximate continuous systems is proposed.

The course will discuss the following topics:

- Review of the virtual work principle and Lagrange equations

- linearization around an equilibrium position: vibrations

- elastodynamics in a solid and  continuous systems

- discretization techniques (Rayleigh-Ritz and Finite Elements)

- Free vibration modes and modal superposition

- Forced harmonic response of non-damped and damped structures

- Dynamics of electromechanical systems.

Other advanced topics relevant to mechanical engineering will be covered if time permits and depending on the interest of the students: basics of rotor dynamics, non-linear vibrations, random vibrations, prestressed structures, piezoelectric systems, travelling waves in disk-like structures.

Course material:

• lecture notes

References from literature:

• Mechanical Vibrations, Theory and Application to Structural Dynamics, M. Géradin and D. Rixen, Wiley, 1997.
• Applied Dynamics, with application to multibody and mechatronic systems, F.C. Moon, Wiley, 1998, isbn 0-471-13828-2.
• Engineering vibration, D.J. Inman, Prentice Hall, 2001, isbn 0-13-726142-X
• The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, T.J.R. Hughes Prentice-Hall, 1987.
• Structural Dynamics in Aeronautical Engineering, M.N. Bismark-Nasr, AIAA education series, 1999, isbn 1-56347-323-2

Remarks assessment, entry requirements, etc.:

An assignment will be given which will make up part of the final mark.

Learning goals:

The objective of the course is to model the dynamical behavior of structure and mechatronical systems in order to perform simulation, analysis and control. 

Computer use:

Laboratory project(s):

Design content:

Percentage of design:     %