Course code: wb1418

Course name: Engineering Dynamics

This concerns a Course

ECTS credit points: 3

Faculty of Mechanical Engineering and Marine Technology

Section of Engineering Mechanics

Lecturer(s): Daniel J. Rixen

Tel.:  015 - 27 1523 /      

Catalog data:

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

Course year:

MSc 1^st year

Course language:

English

In case of Dutch: Please contact the lecturer about an English alternative, whenever needed.

Semester:

1A / 1B

Hours per week:

2

Other hours:

16

Assessment:

Oral exam

Assessment period:

1B / 2A

(see academic calendar)

Prerequisites (course codes):

Statics and Strength of materials (e.g. wb1214), Dynamics (e.g. wb1311), Linear Algebra 

Follow up (course codes):

Engineering Dynamics and Mechanicsms (wb1419, extension of wb1418), Multibody Dynamics A (wb1310), Multibody Dynamics B (wb1413), Numerical Methods in Dynamics (wb1416), Non-Linear Vibrations (wb1412).

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

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, electromechanical and piezoelectric systems.

Course material:

•  Lecture notes (available through blackboard)

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. SInce the enphasis of the lectures will be on understanding concepts in dynamics more than memorizing formulas, the oral exam will be open book to evaluate your understanding of the concepts.

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:

The assignement will require using Matlab-like software.

Laboratory project(s):

-

Design content:

-

Percentage of design:  -0%