Engineering and design

Dynamics of Machines & Vehicles

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

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
  • vehicle axes systems
  • basic tyre mechanics
  • vehicle traction: acceleration and braking
  • ride and handling principles
  • steering and steady-state cornering: stability and control of vehicle roll
  • crash dynamics.

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.