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EM40JM: DYNAMICS 2 (2015-2016)

Last modified: 25 Mar 2016 11:39

Course Overview

The course is aimed principally at students interested in mechanical engineering.  It aims to equip students with the analytical and problem-solving skills required to calculate the vibration response of nonlinear systems and engineering components like rods, tensioned cables and beams.  The course includes a mixture of analytical and numerical methods (Matlab) for the solution of these problems.  It also includes an alternative method for generating equations of motions and an overview of instability in dynamic systems with the Tacoma Narrows Bridge used as an example.

Course Details

Study Type Undergraduate Level 4
Session First Sub Session Credit Points 10 credits (5 ECTS credits)
Campus Old Aberdeen Sustained Study No
  • Dr James Ing

Qualification Prerequisites


What courses & programmes must have been taken before this course?

What other courses must be taken with this course?


What courses cannot be taken with this course?

Are there a limited number of places available?


Course Description

The course will commence with an introduction to the vibration of non-linear systems with a qualitative description of non-linear effects, and quantitative evaluation of the influence of small non-linearities on single degree of freedom vibrating systems using perturbation procedures and simulation. Subsequently, the axial and torsional vibration of rods and lateral vibration of strings and beams will be examined with techniques presented for the calculation of the free vibration, normal modes and natural frequencies and forced response. An overview of Lagrange’s equations of motion is presented as an alternative formulation to Newton’s equations. The final part of the course will be a short overview of instability in single degree of freedom systems will be presented.

Further Information & Notes

Available only to students following an Engineering degree programme.

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers

Details, including assessments, may be subject to change until 31 August 2023 for 1st half-session courses and 22 December 2023 for 2nd half-session courses.

Summative Assessments

1st Attempt: 1 three-hour written examination paper (90%) and continuous assessment (10%).

Formative Assessment

There are no assessments for this course.


Students can receive feedback on their progress with the Course on request at the weekly tutorial/feedback sessions.  There will be tutorial sessions dedicated solely to feedback on sample/past exam papers towards the end of the course.

Course Learning Outcomes


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