| 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 |
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.
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)
This is a 22-hour lecture-based course. The course is supported by examples sheets and the use of Matlab/Simulink demonstrations as appropriate.
2 hour examination, 3 Questions from 4
Meriam & Kraige, Engineering mechanics: Dynamics (John Wiley and Sons) 2007 or later
Wagg and Neild, Nonlinear vibration with control (Springer) 2015
