Unit information: Vibrations 3 in 2020/21

Unit name	Vibrations 3
Unit code	MENG31301
Credit points	10
Level of study	H/6
Teaching block(s)	Teaching Block 1 (weeks 1 - 12)
Unit director	Professor. Neild
Open unit status	Not open
Pre-requisites	The vibrations component of MENG22200 Dynamics and Control 2 or equivalent.
Co-requisites	None
School/department	Department of Mechanical Engineering
Faculty	Faculty of Engineering

Description including Unit Aims

In this course, we will analyse the vibration behaviour of bars, beams and plates, in which the mass and stiffness are continuously distributed, rather than concentrated in discrete elements. The course covers analytical methods to determine natural frequencies, mode shapes and stresses in vibrating systems, and provides an introduction to numerical methods for solving more complex systems. It also covers the use of experimental testing to measure modal properties.

Aims:

The aim of this course is to examine and explain the vibrational behaviour of bars, beams and plates, in which the mass and stiffness are continuously distributed. Algebraic, numerical and experimental techniques will be examined.

Intended Learning Outcomes

By the end of this course, students will know how to do the following:

(1) Calculate the natural frequencies and determine the vibration mode shapes of bars, beams and plates.

(2) Allow for the various boundary conditions which occur in practice, and understand how these may be compromised.

(3) Calculate natural frequencies using the Rayleigh-Ritz numerical technique.

(4) Derive and use FE matricies for vibration analysis.

(5) Extract modal properties from experimental data.

Teaching Information

Students receive a 1-hour lecture each week over 21 weeks. Examples of similar standard to examination questions are provided. Students are expected to work through these examples and previous years' examination papers in their own time. This will help to inform them of their real understanding of the subject.

Assessment Information

There is a 2-hour written paper in January which counts for 100%. Students will be asked to answer 3 questions from a selection of 4.

Reading and References

• Thomson, W.T. & Dahleh, M.D., The Theory of Vibration with Applications. (1997), 5th ed., Pearson Prentice-Hall. ISBN-10: 013651068x. ISBN-13: 9780139153495. Classmark: TA355 THO. – Core Text.
• Meirovitch, L., Fundamentals of Vibrations. (2001), McGraw-Hill. ISBN-10: 0071181741. ISBN-13: 9780071181747. Classmark: TA355 MEI.