# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2022/2023

### Timetable information in the Course Catalogue may be subject to change.

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# 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 SCQF Credits 10 ECTS Credits 5 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. Course description 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]
 Pre-requisites Co-requisites Prohibited Combinations Other requirements None
 Pre-requisites None High Demand Course? Yes
 Academic year 2022/23, Available to all students (SV1) Quota:  None Course Start Semester 1 Timetable Timetable Learning and Teaching activities (Further Info) Total Hours: 100 ( 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 65 ) Assessment (Further Info) Written Exam 100 %, Coursework 0 %, Practical Exam 0 % Additional Information (Assessment) Final Examination 100% Feedback Not entered Exam Information Exam Diet Paper Name 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 Not entered Keywords Dynamics,Vibrations,Wave Propagation,System Response,Continuous Systems,Discrete Systems
 Course organiser Dr Filipe Teixeira-Dias Tel: (0131 6)50 6768 Email: F.Teixeira-Dias@ed.ac.uk Course secretary Mr James Foster Tel: (0131 6)51 3562 Email: James.Foster@ed.ac.uk
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