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EM40JM: DYNAMICS 2 (2021-2022)

Last modified: 31 May 2022 13:05

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 Aberdeen Sustained Study No
  • Dr Oleksandr Menshykov

Qualification Prerequisites

  • Either Programme Level 3 or Programme Level 4

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.

Contact Teaching Time

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

Teaching Breakdown

  • 2 Seminars during University week s 9 - 19
  • 1 Tutorial during University week s 10, 11, 12, 13, 14, 15, 16, 17, 18, 19
  • 1 Workshop during University week s 9 - 19

More Information about Week Numbers

Summative Assessments

2x coursework (50% each)

Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
FactualRememberILO’s for this course are available in the course guide.

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