Postgraduate taught 

Mechanical Engineering & Management MSc

Vibration ENG5090

  • Academic Session: 2023-24
  • School: School of Engineering
  • Credits: 20
  • Level: Level 5 (SCQF level 11)
  • Typically Offered: Semester 2
  • Available to Visiting Students: Yes

Short Description

Multi-degree-of-freedom Lumped Parameter Systems: Matrix representation, forced vibration using normal mode analysis, principal coordinates, coordinate transformations, orthogonality, dealing with damping, Lagrangian dynamics. Continuous Systems: Longitudinal and torsional vibration of rods, lateral vibration of beams.


4 lectures per week

Excluded Courses

Vibration M4 ENG4137




75% Degree examination

25% Written report

Main Assessment In: April/May

Course Aims

The aims of this course are to:

■ provide a good grounding in vibration fundamentals in order to intelligently use Finite Element (FE) packages to obtain a meaningful and reliable result;

■ introduce vibration testing as a fundamental part of troubleshooting and demonstrate that much analysis can be performed using models based on experimental measurements;

■ provide enough theoretical background to understand the two powerful tools of FE and experimental modal analysis;

■ demonstrate how experimental modal analysis and FE analysis can be used as a troubleshooting tool or a design tool.

Intended Learning Outcomes of Course

By the end of this course students will be able to:

■ model and analyse simple lumped mass systems by hand;

■ model and analyse rods and beams by hand;

■ appreciate the principles of FE analysis and other approximation techniques;

■ appreciate the principles of and be able to perform experimental modal analysis;

■ have detailed knowledge and be able to use experimental modal analysis techniques for troubleshooting and design;

■ use FE packages for design and troubleshooting;

■ appreciate the principles of random vibration and some of the problems of nonlinear vibration.

Minimum Requirement for Award of Credits

Students must attend the degree examination and submit at least 75% by weight of the other components of the course's summative assessment.


Students must attend the timetabled laboratory classes.


Students should attend at least 75% of the timetabled classes of the course.


Note that these are minimum requirements: good students will achieve far higher participation/submission rates.  Any student who misses an assessment or a significant number of classes because of illness or other good cause should report this by completing a MyCampus absence report.