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Unit information: Interactions in Rotational and Nonlinear Dynamics in 2018/19

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Unit name Interactions in Rotational and Nonlinear Dynamics
Unit code MENGM0033
Credit points 10
Level of study M/7
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Dr. Tom Hill
Open unit status Not open
Pre-requisites

Dynamics of Rigid Bodies MENG10201 or similar, plus Engineering Mathematics EMAT10100 or similar, plus Engineering Mathematics 2M EMAT20200 or similar, plus Vibrations 3 MENG31301 or similar

Co-requisites

None

School/department Department of Mechanical Engineering
Faculty Faculty of Engineering

Description

The aim of this unit is to expand upon the students’ knowledge of dynamics and provide an understanding of nonlinear dynamic behaviour in engineering systems.

This optional unit encompasses these sections. 3D rotational dynamics are considered (e.g. 'gyroscopic' effects and Euler's equations). Lagrange's equation is used to determine the differential equations of motion of systems. This is extended to the analysis of the dynamics of general multi-degree of freedom systems. Some attributes of non-linear systems are explored. The course is supported by examples sheets and the use of Matlab demonstrations as appropriate.

Intended learning outcomes

On completion of the unit, students should be able to analyse and compute:

(1) 3-D rotational dynamics

(2) Multi-degree of freedom linear dynamical systems

(3) Interactions between rotational components and modes of dynamic systems

(4) Nonlinear dynamic behaviours in engineering structures

(5) Internally-resonant interactions in nonlinear systems

These intended learning outcomes satisfy learning outcomes SM1m, SM2m and SM5m defined by an accrediting body ( I. Mech. E. , AHEP3/ OSV5)

Teaching details

This is a 22-hour lecture-based course. The course is supported by examples sheets and the use of Matlab/Simulink demonstrations as appropriate.

Assessment Details

2 hour examination, 3 Questions from 4

Reading and References

  • Meriam, J. & Kraige, L.G., Engineering Mechanics: Statics. (2002), 5th ed., Wiley & Sons. ISBN: 0471406465.
  • Meriam, J. & Kraige, L.G., Engineering Mechanics: Dynamics. (2012), 7th ed., Wiley & Sons. ISBN: 1118083458.
  • Wagg, D. & Neild, S., Nonlinear Vibration with Control: For Flexible & Adaptive Structures (Solid Mechanics & its Applications), (2009), Springer. ISBN: 9048128366.

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