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1. have a good understanding of the principles of vibrations, including concepts of vibration modes and natural frequencies, and the influence of mass, stiffness and damping on the motion of vibratory systems;
2. have a good understanding of how to estimate system parameters and measure the damping of simple vibratory systems;
3. understand the principles controlling basic vibration systems including forced vibratory systems, vibration isolation systems, and vibration absorbers;
4. have a basic understanding of the modes and natural frequencies of simple, idealized continuous systems;
5. understand the fundamentals of modelling complex continuous systems with discrete lumped-masses and springs;

1. be able to construct state space models of dynamic systems, and have an understanding of basic control concepts relating to these such as controllability, observability, poles and zeros, stability;
2. be able to design full-state feedback control system and optimal control systems;
3. be able to design an observer to estimate system states, including exposure to stochastic state estimation;
4. be able to design complex controllers such as observer-feedback and command-tracking;
5. have had experience with designing real control systems.

1. understand the fundamentals of acoustics;
2. understand basic concepts of psychoacoustics;
3. understand noise control techniques and able to select an appropriate technique;
4. be able to select appropriate instruments for measuring sound;
5. be able to assess occupational and environmental noise problems.

Inman, D.J., Engineering Vibration, Prentice Hall, Second Edition, 2001; or Thompson W.T., 1993, Theory of Vibration with Applications, Fourth Edition, Stanley-Thornes.

Dorf and Bishop “Modern Control Systems”, Chapt 3; Franklin, Powell and Emami-Naeini Feedback Control of Dynamic Systems”, Chapt 2.2, Chapt 7.1-7.2; Nise “Control Systems Engineering”, Chapt 3.

As per university recommendations, it is expected that students spend 48hrs/week during teaching periods, and that a 3 unit course has a minimum workload of 156 hours regardless of the length of the course. Additional time may need to be spent acquiring assumed knowledge, working on assessment during non-teaching periods, and preparing for and attending examinations.

Below is a breakdown of the scheduled learning activities for this course:

Acoustics

• Fundamentals of Acoustics
• Amplitude, frequency, wavelength, speed of sound.
• Logarithmic scale, octave and 1/3rd octave bands.
• Sound Pressure Level, addition and subtraction of pressure and SPLs.
• Noise reduction addition.
• Beating.
• Sound Intensity, Sound Power, Directivity, SPL at a distance from a sound power source.
• Subjective assessment of change in SPL & A-weighting.
• Instrumentation used in acoustics.
• Psychoacoustics
• The A-weighting scale.
• The subjective perception of loudness.
• The concept of masking noise and the limitation of human hearing.
• The concept of critical bands.
• How jury testing can be used for product evaluation.
• General Noise Control Techniques
• Basics of Acoustics.
• Vibro-acoustic noise control.
• Air-borne noise control.
• Liquid-borne noise control.
• Building acoustics.
• Silencers and mufflers.
• Occupational and Environmental Noise
• Noise induced and age related hearing loss.
• Estimation of noise exposure.
• Noise exposure trading rules.
• Metrics used to describe noise spectra in offices, such as Room Criteria.
• Community noise level criteria.

Vibrations

• Free vibration of single degree-of-freedom systems (2 lectures)
• Forced vibrations (3 lectures)
• Damped vibrations (2 lectures)
• Vibration isolation (3 lectures)
• Multi-degree of freedom systems (4 lectures)
• Vibration of continuous systems (2 lectures)
• Determination of natural frequencies and mode shapes (5 lectures)
• Two laboratories: Balancing machinery and Vibrating beam

Control

• Introduction to State Space Modelling (1 lecture)
• Construction of State Space Models (1 lecture)
• Modelling Multiple DOF Systems (1 lecture)
• Modelling Distributed Parameter Systems (1 lecture)
• Conversion between SS to TF and back again: Control canonical, observer canonical, Jordan form (1 lecture)
• Solution to state equations, poles, zeros and stability (1 lecture)
• Controllability and Observability (1 lecture)
• Feedback Control & Pole Placement (1 lecture)
• Optimal Control (LQR) (1 lecture) (1 lecture)
• Observers (Estimators) (1 lecture)
• Optimal Observers (Kalman-Bucy Filters, LQG) (1 lecture)
• Reduced Order Observers (1 lecture)
• Compensators (1 lecture)
• Reference Input & Command Tracking (1 lecture)
• Summary (1 lecture)
• Optional course content includes Linearisation of Non-linear Differential Equations & Lagrangian Mechanics
• Tutorials using MATLAB (10 tutorials)
• State Control of a MIMO Aerospace System and at least one other unstable MIMO plant (topic covered via assignments)

Total assessment in this course is 30% coursework and 70% exam. These are each divided into approximate components of 15% acoustics / 42.5% vibrations / 42.5% automatic control.

Controls

An assignment will be set approximately every four weeks. The computer tutorials are designed to provide instruction of Matlab and Simulink while simultaneously developing the understanding of the students’ control knowledge through simulation.

Vibrations

The Vibrationscoursework consists of assignments and two laboratories.

Acoustics

The Acoustics coursework consists of one assignment.

Note that the laboratory experiments are compulsory and it is a requirement to pass the laboratory experiments to pass the course.

Acoustics

The acoustics assignment is submitted electronically and comprises 4.5% of the total mark for this course.

Controls

Two assignments, each worth 4.5% of overall assessment. 10 computer tutorials, worth 3.75% of overall assessment.

Vibrations

Four (assessed) assignments provide 8.5% of the overall mark, with each assignment equally weighted. These assignments are set during the semester, each one released at least 2 weeks in advance of the submission deadline. The turnaround time for the return of marked assignments is weeks after the submission deadline. Late assignments are NOT accepted. Extensions are not granted.

Two equally weighted laboratory classes through the semester provide 4.25% of the overall mark. Students must achieve 35% of the maximum possible Vibrations laboratory mark in order to be eligible to pass the course. Students who have successfully completed the labs in a previous attempt at the course are exempt.

Variations in the assessment scheme are negotiable on medical and compassionate grounds.

All assignments and practical reports must be submitted either electronically or as a hard copy, as per instructions for each assessment, in the labelled box in the Mechanical Engineering submission area on Level 2 of Engineering South Building. Any assessment submitted as a hard copy must be accompanied by an assessment cover sheet available on the window ledge of room S116. Late assignments and reports will be penalised 10% per day. Extensions for assignments will only be given in exceptional circumstances and a case for this with supporting documentation can be made in writing after a lecture or via email to the lecturer. Hard copy assignments will be assessed and returned in 2 weeks of the due date. There will be no opportunities for re-submission of work of unacceptable standard. Due to the large size of the class feedback on assignments will be limited to in-class discussion resulting from questions from students.

All tutorials are submitted online using MyUni. Late tutorials cannot be accepted as they are submitted electronically via MyUni which automatically prevents submission after the due time on the due date.