Undergraduate Course: Dynamics 4 (MECE10002)
|School||School of Engineering
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 10 (Year 4 Undergraduate)
||Availability||Available to all students
|Summary||The Dynamics 4 course provides an understanding of core aspects of advanced dynamic analysis, dealing with system modelling, dynamic response and vibration analysis, structural dynamics both in the linear and non-linear regimes, wave propagation and the dynamics of continuous and multi-degree of freedom systems. The main objective is to obtain an understanding and appreciation of the potential and limitations of analytical approaches and solutions, and the value of these in underpinning modern computer methods for simulating dynamic structural response.
The Dynamics 4 course covers the following three main subject areas:
1. The Lagrange method of analytical dynamics. This is a formal approach for setting up equations of motion (EoM) for complex dynamic systems with dynamic constraints (e.g. constrained motions). Free Body Diagrams (FBD) prove quite difficult when dealing with complex systems which operate under dynamic constraints. Lagrange's method, however, allows the derivation of correct Equations of Motion through formal calculations from the energy functions of the system. Covered applications include the analysis of the conditions for dynamic system stability.
2. Wave propagation in continuous systems. Systematic approaches for deriving the parameters of lumped-parameter descriptions. Properties of wave propagation, including sound propagation, and the standing waves which characterise the fundamental vibration modes of continuous systems with boundaries. Longitudinal and transverse waves and solutions to the corresponding differential equations (e.g. standing and travelling wave solutions)
3. Vibration of multi-degree-of-freedom systems, using the more formal approach of principal coordinate analysis to describe vibration behaviour, and to analyse vibration hazards in engineering structures.
[AHEP outcomes: SM2m, EA1m, EA3m]
Entry Requirements (not applicable to Visiting Students)
||Other requirements|| None
Information for Visiting Students
|High Demand Course?
Course Delivery Information
|Academic year 2022/23, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 20,
Seminar/Tutorial Hours 10,
Formative Assessment Hours 1,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Final Examination 100%
||Hours & Minutes
|Main Exam Diet S1 (December)||2:00|
|Resit Exam Diet (August)||2:00|
On completion of this course, the student will be able to:
- Apply virtual work-based methods to dynamical systems, relating between Lagrangian and Newtonian Mechanics.
- Derive system differential equations of motion for dynamical systems from energy-based approaches (e.g. Lagrange's method).
- Recognise forms of advanced dynamical behaviour, such as system instability and non-linearity, and appreciate their effects on the dynamical response and methods used to analyse them.
- Identify structural dynamic instability causes and propose solutions.
- Know the common wave equations for basic structural elements and be able to use these to find natural frequencies and mode shapes.
|S.S. Rao. Mechanical Vibrations (5th Edition in SI units), Prentice Hall, ISBN 978-981-06-8712-0, 2011.|
|Graduate Attributes and Skills
|Keywords||Dynamics,Vibrations,Wave Propagation,System Response,Continuous Systems,Discrete Systems
|Course organiser||Dr Filipe Teixeira-Dias
Tel: (0131 6)50 6768
|Course secretary||Mr James Foster
Tel: (0131 6)51 3562