Prior study of the module ‘Mechanical Structures’ or equivalent

This module will enable students to gain understanding, apply knowledge, analyse and evaluate problems and create solutions through a variety of activities, including lectures, laboratories, demonstrations, practical exercises, presentations and independent learning opportunities.

o Singiresu, S. RAO, (2017) Mechanical vibrations. Sixth Edition. Pearson.
o Inman, D.J., (2013) Engineering vibrations. Third Edition. Pearson.
o Thomson, W.T. and Dahleh, M.D., (2013) Theory of vibrations with applications. Fifth Edition. Pearson.
o Kelly, S.G. (2011) Mechanical vibrations: theory and applications. International Student Edition. CL Engineering.

Engineering Laboratory Equipment (e.g 2DOF vibration rig (s))

Finite element analysis software of an industrial standard capable of performing static and dynamic analyses (e.g. ANSYS)

In this module you will be introduced to the analysis needed to understand the vibration of systems with more than one degree of freedom. You will also be introduced to the important concept of a mode shape and the method of modal analysis which is highly used when studying the response of multi-degree-of-freedom systems. More specifically, you will cover the following topics:
- Two-degree-of-freedom systems: Free vibration, forced vibration, frequency equation method, characteristic equation method, vibration absorbers
- Multi-degree-of-freedom systems: Stiffness matrix, flexibility matrix, matrix iteration method.

1. Solve a range of problems in vibration analysis of multi-degree-freedom systems choosing an appropriate solution procedure and making use of the underlying concepts and principles. (AHEP 3: SM2b, EA2, P2)

2. Produce comprehensive and coherent critical assessment on outcomes of laboratory tests and determine the accuracy and repeatability of the results. (AHEP 3: P2)

3. Analyse, interpret and communicate effectively using qualitative and quantitative data relating to mechanical systems by preparing posters and be able to work within a group towards producing a shared understanding and co-producing coherent arguments to specialist and nonspecialist audiences. (AHEP: P3, G1)

4. Recognise the need for simplifying assumptions in order to solve a mathematical problem obtained from a physical problem (AHEP 3: D6)

You will be required to complete three elements of summative assessment as follows:

A 2hour-examination 70% assessing LO1 and LO4. Meeting AHEP 3 Outcomes SM2b. EA2, P2,

A poster based on laboratory activities 30% assessing LO2 and LO3. Meeting AHEP 3 Outcomes P2, P3, G1, D6. Students will be given formative guidance and feedback. Draft work will be reviewed during tutorials or electronically. Information on how to create posters will be provided in tutorial sessions and academic skills advisors will be available to further guide and advise the students.