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: SM2m, EA2m, D7m, EP2m) Analysis, Learning

2. REFLECT ON THE OUTCOMES OF LABORATORY MEASURMENTS AND DETERMINE THE ACCURACY OF THE RESULTS. (AHEP 3: SM5m, EA2m) Reflection

3. ANALYSE, INTERPRET AND COMMUNICATE EFFECTIVELY USING QUALITATIVE AND QUANTITATIVE DATA RELATING TO MECHANICAL VIBRATING SYSTEMS BY PREPARING REPORTS PRODUCING AN UNDERSTANDING AND COHERENT ARGUMENTS TO SPECIALIST AND NONSPECIALIST AUDIENCES (AHEP: EA3m, ET3m/ET6m, EP3m, GSa) Communication

4. DISCUSS THE NEED FOR SIMPLIFYING ASSUMPTIONS IN ORDER TO SOLVE A MATHEMATICAL PROBLEM OBTAINED FROM A PHYSICAL PROBLEM. (AHEP 3: SM5m, EA4m, D4m/D6m), Problem Solving, Knowledge and Understanding, Application

You will be required to complete two elements of summative assessment as follows:
• A 2hour-examination unseen in exam conditions 70% assessing LO1 and LO4
• 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 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:
• Single degree of freedom systems: Free vibration, forced vibration, undamped vibration, damped vibration.
• 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.

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.

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

Blackboard VLE
Library facilities