SHE Level 5
SCQF Credit Points 15.00
ECTS Credit Points 7.50
Module Code MMH306616
Module Leader Paul McKenna
School School of Computing, Engineering and Built Environment
Subject Mechanical Engineering
  • B (January start)
  • A (September start)

Pre-Requisite Knowledge

Standard Programme Entry Requirements

Summary of Content

The aim of this module is to provide knowledge of advanced engineering mechanics, such as the analysis of single and multi degree of freedom systems for general forcing conditions, response spectra, and random vibrations.


Vibration under general forcing conditions Periodic (non harmonic) or non periodic using superposition, transient response found by the convolution integral for step force, time delayed step force, pulse load and blast load. Self excitation, vortex shedding. Seismic Analysis Response Spectra, sinusoidal pulse, base excitation, pseudo spectrum, earthquake response spectra, Laplace transform formulation. Multi-degree of Freedom Continuous systems, cables, frame structures, geared and branched systems under forced damped loading. Random Vibrations Nondeterministic data, time averaging and expected value, probability distribution, correlation, power spectrum and power spectral density, frequency response function.

Learning Outcomes

On completion of this module the student should:* have a critical understanding of a range of specialised theories and concepts* apply principles of vibration analysis for the design of a component under of general forcing conditions* analyse components for transient response for simple transient loading conditions* assess the vibratory response of structures via the response spectra approach* assess the vibratory response of frame structures* analyses multi degree of freedom and continuous systems* assess components subject to random vibrations

Teaching / Learning Strategy

The module will be delivered via a blend of lectures, seminars and tutorials. Examples and case studies from industry will be used to place the theory into context. GCU Learn will be used for supporting material and additional examples.

Indicative Reading

Structural Vibration Analysis Structures, C.F. Beards, Ellis Horwood, 1983 The Dynamical Behavious of Structures, G.B. Warburton, Pergamon Press, 1976 Elements of Vibration Analysis, Leonard Meirovitch, McGraw-Hill, 1986 Mechanical Vibrations, Singiresu S. Rao, Addison-Wesley, 1995 Theory of Vibration with Applications, William Thomson, George Allen & Unwin, 1986

Transferrable Skills

Critical thinking and problem solving; numeracy skills; knowledge and understanding in the context of the subject; independent working; advanced information retrieval; communication skills; written and listening cognitive/intellectual skills.

Module Structure

Activity Total Hours
Seminars (FT) 12.00
Seminars (PT) 12.00
Lectures (FT) 28.00
Lectures (PT) 28.00
Tutorials (PT) 10.00
Independent Learning (FT) 90.00
Assessment (PT) 10.00
Assessment (FT) 10.00
Independent Learning (PT) 90.00
Tutorials (FT) 10.00

Assessment Methods

Component Duration Weighting Threshold Description
Exam (Exams Office) 3.00 70.00 45% Exam (4Q from 6Q)
Coursework 0.00 15.00 45% Minor
Coursework 0.00 15.00 45% Minor