Vibration, Data Analysis and Data Decomposition
Overview
This unit of study aims to introduce students to the underlying fundamentals as well applications of system analysis, signal processing theories and methods as well as their applications for various mechanical systems These will be focused on vector calculus, Laplace transforms and Fourier series for analysing mechanical systems; digital filters, time and frequency domain analysis, and emerging technologies in data-driven computation. The unit will also equip students with hands-on design skills through virtual laboratory.
Requisites
MTH10012 Calculus and Applications
AND
MTH10013 Linear Algebra and Applications
OR for PDE
MTH10007 Engineering Mathematics 2 *
OR
MTH10003 Engineering Mathematics 2P *
01-June-2025
Learning outcomes
Students who successfully complete this unit will be able to:
- Apply signal sampling and Nyquist theory to design acquisition systems.(K2, K3, S1, S2, S3)
- Apply digital filters, time and frequency domain analysis techniques to signal processing (K2, K3, S1, S2, S3)
- Apply Laplace transforms to analyse dynamic systems and control (K2, K3, S1)
- Apply Fourier series and the Fast Fourier Transform to analysing sound and vibration signals (K2, K3, S1)
- Apply data-driven computation techniques and regression methods to derive system model from empirical data (K2, K3, K4, S1, S2)
Teaching methods
Hawthorn
| Type | Hours per week | Number of weeks | Total (number of hours) |
|---|---|---|---|
| Face to Face Contact (Phasing out) Lecture | 3.00 | 12 weeks | 36 |
| Face to Face Contact (Phasing out) Tutorial | 2.00 | 12 weeks | 24 |
| Unspecified Learning Activities (Phasing out) Independent Learning | 7.50 | 12 weeks | 90 |
| TOTAL | 150 |
Assessment
| Type | Task | Weighting | ULO's |
|---|---|---|---|
| Assignment 1 | Individual | 10 - 20% | 1 |
| Assignment 2 | Individual | 10 - 20% | 2 |
| Assignment 3 | Individual | 10 - 20% | 3,4,5 |
| Examination | Individual | 40 - 60% | 1,2,3,4 |
Content
- Fundamentals and applications of  system analysis
- Signal processing theories and methods
- Laplace transforms and Fourier series for analysing mechanical systems; digital filters, time and frequency domain analysis
- Emerging technologies in data-driven computation.Â
Study resources
Reading materials
A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.