1. Solve a Range of Problems in Vibration Analysis of Multi-Degree-Freedom Systems choosing an appropriate Solution Procedure and Making Use of Advanced Concepts and Principles (AHEP 4: B1)
2. Reflect on the Outcomes of Laboratory Measurements and Determine the Accuracy of the Results (AHEP 4: B12)
3. Analyse, Interpret and Communicate effectively using Qualitative and Quantitative Data relating to Mechanical Systems by Preparing Reports producing an Understanding and Coherent Arguments to Specialist and Non-Specialist Audiences (AHEP 4: B17)
4. Discuss the Need for Simplifying Assumptions in order to Solve a Mathematical Problem obtained from a Physical Problem (AHEP 4:B1)

You will be required to complete two elements of summative assessment as follows:
1. A 2hour-examination unseen 70% assessing LO1 and LO4
2. A report based on laboratory measurements 30% assessing LO2 and LO3
Students will be given formative guidance and feedback.

In this module you will be introduced to the analysis needed to understand the vibration of systems with Single, two and more than two degrees 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. Focus would be not only the modelling the complex vibration system but also looking into vibration control techniques. More specifically, you will cover the following topics:

1. Single degree of freedom systems: Free vibration, forced vibration, undamped vibration, damped vibration.
2. Two-degree-of-freedom systems: Free vibration, forced vibration, frequency equation method, characteristic equation method
3. multi-degree-of-freedom systems: Stiffness matrix, flexibility matrix, matrix iteration method.
4. Vibration Control: Vibration isolator and Absorber, whirling motion and critical speed

This module you will cover the analysis needed to understand the vibration of systems with Single, two and more than two degrees 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.

Distance Learning using the Blackboard VLE. Use of libraries and on-line research. Learning will be supported by student centred tasks to build towards the final examination and assignments. Links to on-line video and student research will support the materials on Blackboard VLE.

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

Blackboard VLE
Library facilities
Standard office software