Next academic year

Dynamics

Module aims

This module aims to enable students to master the essential basic topics in vibrations and dynamics. Vibration can be a key feature of an engineering system or a source of system failure and this module studies the free vibration of single-degree-of-freedom undamped and damped systems and an introduction to multi-degree-of-freedom systems. In dynamics topics include work-done-energy equation, general plane motion , impulse-linear momentum, angular impulse-angular momentum, impact, generalized angular impulse-angular momentum, simple gyroscopic motion.

ECTS units: 5

Learning outcomes

On completion of this module students should be able to: 

1. Derive and explain the dynamical behaviour of one-degree-of-freedom dynamical systems in general terms, using the concepts of natural frequency, damping, free response, forced response, transmissibility, isolation, phasor diagrams and Bode plots

2. Derive and explain the dynamical behaviour of multi-degree-of-freedom systems in terms of natural frequencies and associated mode shapes, using the concept of modal summation

3. Explain the concepts of energy-work done, linear momentum-linear impulse, angular momentum-angular impulse and simple gyroscopic motion

4. Model relatively simple engineering structures as single- and two-degree-of-freedom systems with translational and rotational co-ordinates

5. Determine the dynamic response of such systems for free and forced vibration

6. Solve dynamics problems using the concepts of linear impulse-linear momentum and angular impulse-angular momentum

Module syllabus

Vibrations: Free vibration of single-degree-of-freedom undamped and damped systems, resonance, natural frequency, damping, forced vibration of single-degree-of-freedom systems, base excitation, vibration isolation, vibration transmission, introduction of multi-degree-of-freedom systems, matrix methods, modal superposition, vibration of linear stretched string.

Dynamics: work-done-energy equation, general plane motion with translation and rotation, impulse-linear momentum, angular impulse-angular momentum, impact, generalized angular impulse-angular momentum, simple gyroscopic motion.

Pre-requisites

ME1-HMCX

Teaching methods

Students will be introduced to the main topics through lectures, supported by technology (PowerPoint, Panapto and Blackboard). Short activities (using interactive pedagogies) will occasionally be introduced in the classroom setting to reinforce learning, for example through mentimeter and the like. You will be provided with problem solving sheets and should complete these as part of your independent study. Tutorials sessions will provide small group interaction with teaching staff where you are expected to engage in discussion on specific problems. 

Assessments

Reading list

Dynamics

• Vector mechanics for engineers: Statics and dynamics

  Beer, Ferdinand P. (Ferdinand Pierre), 1915-2003, author.

  Twelfth edition., McGraw-Hill Education

• Engineering vibration analysis with application to control systems

  Beards, C. F. (Christopher F).

  Edward Arnold

• Engineering Vibrations

  Inman, Daniel

  4th, Pearson Education Limited

• Mechanical vibration

  Palm, William J. (William John), 1944-

  John Wiley

Module leaders

Dr Christoph Schwingshackl