Engineering and design

Dynamics of Machines & Vehicles

Module code: H7092
Level 6
15 credits in autumn semester
Teaching method: Lecture
Assessment modes: Unseen examination, Coursework

This module is about using the laws of physics in an effective way to describe the behavior of just about anything that moves. This could include something as complicated as the motion of a spacecraft to the elegant motion of a dancer.

Dynamics of machines and vehicles is a massively important subject. It covers almost the entire breadth of mechanical and automotive engineering – from the design of a Formula-One car suspension system to the vibration analysis of an Airbus A380 wing. There are a huge number of practical problems out there in the real world that require the tools of dynamics to solve them.

Having the skills in the field of dynamics opens up many career opportunities. You could go on to become a vehicle dynamicist in motor sport through to a vibration analyst in the aerospace industry, especially involved in jet engine fan and turbine blade design.

The module is also important for other parts of your course – especially where there is fluid-structure interaction, such as in wing design or in vehicle and engine technology.

Topics include:

  • kinematic analysis in two and three dimensions
  • dynamic equations of motion for rigid bodies in two dimensions (applications toplane mechanisms)
  • equations of motion for a rigid-body in 3D
  • gyrodynamic effects on rotors
  • balancing of rotating and reciprocating machinery
  • response of linear SDOF systems to general loading (superposition)
  • discrete model types; model construction via Equilibrium/Alembert's Principle, virtual work, and Lagrange equations; discrete dynamic equations for linear MDOF systems
  • orthogonality relations for normal modes; principal coordinates
  • forced vibration analysis of systems with proportional damping
  • superposition principles and frequency response functions for damped 2-DOF systems
  • Rayleigh’s principle.

Pre-requisite

Engineering Mathematics 2
Principles and Applications of Strength
Systems Analysis and Control

Module learning outcomes

  • Demonstrate a coherent knowledge of discrete dynamic model construction using momentum, virtual work, and energy principles, and kinematic and dynamic analysis of machine rotors and flexible structures.
  • Systematically understand the key properties of normal modes of vibration and demonstrate a coherent and detailed knowledge of the vibration analysis of linear structures informed by practical implementation of key theory.
  • Deploy established rotor balancing techniques and apply them theoretically to reciprocating machinery.
  • Demonstrate an understanding of the importance of dynamics in vehicle design.