Engineering System Dynamics

Module summary

Module code: MECH1059
Level: 6
Credits: 15
School: Engineering and Science
Department: Engineering
Module Coordinator(s): Kaushika Hettiaratchi

Specification

Pre and co requisites

Mechanics and Dynamics of Engineering Systems MECH1081

Aims

To provide students with an opportunity to enhance and extend their understanding of engineering dynamics in terms of advanced analysis and modelling of dynamic systems.

Learning outcomes

On successful completion of this module a student will be able to:
1 Apply analytical methods to dynamic systems in engineering.
2 Analyse systems (that have several degrees of freedom) in two and three dimensions using classical and Lagrangian mechanics.
3 Reflect on the outcome of case studies and experimental data and formulate appropriate conclusions.
4 Evaluate and critically appraise the design of systems and the response of systems with reference to initial conditions and synthesis of elements within any given design.

Indicative content

Kinematics and kinetics of systems with respect to fixed and moving reference frames. Applications to translating and rotating systems using vector and matrix notation for mechanisms. Energy concepts, kinetic and potential energy. Lagrange's equations of motion with applications to vibrating systems having two and three degrees of freedom. Effect of damping. Vibration absorbers and vibration isolators and instruments. Characteristic equations and mode shapes for coupled system and lumped parameter models. Matrix representation. Orthogonality of modes. Introduction to the matrix displacement method. Stiffness and flexibility matrices, modes shapes, global and local co-ordinates. Rotation matrix. Applications to two and three dimensional trusses and stiff-jointed frames. Structural dynamics, Dunkerley’s method and whirling of shafts and dynamic stresses in systes.