Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | VIBRATION AND CONTROL | ||
Code | MECH303 | ||
Coordinator |
Prof H Ouyang Mechanical, Materials & Aerospace Eng H.Ouyang@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2018-19 | Level 6 FHEQ | Second Semester | 15 |
Aims |
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To acquaint students with the techniques for analysing vibrational systems having multiple degrees-of-freedom. To teach system design through root locus, and introduce state-space formulation. |
Learning Outcomes |
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On successful completion of this module, students will be able to understand concepts of frequencies and modes and to derive the equations of motion of multi-degrees-of-freedom systems. |
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On successful completion of this module, students will be able to solve the equation of motion for multi-degrees-of-freedom systems and find frequencies, displacements, velocities and accelerations. |
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On successful completion of this module, students will be able to design a simple control system for enhanced stability and desired performance, using root locus and Routh-Hurwitz criterion. |
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On successful completion of this module, students will be able to gain basic understanding of modern control theory. |
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On successful completion of this module, students will be able to enhance their ability to solve differential equations and manipulate vectors and matrices. |
Syllabus |
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1 |
DYNAMICS
Properties of multi-degree-of freedom system
s:
Derivation of equations of motion; stiffness and mass matrices; free vibration analysis;
Natural frequencies; normal modes; Rayleigh qu
otient;
Forced vibration analysis; vibration absorber; orthogonality of modes; modal analysis;
CONTROL
Feedback control and its role in engineering, definitions of various classes of systems - single input/single output (SISO), multi-input/multi-output (MIMO).
T
ransfer function; poles and zeros; steady state error.
Stability criteria in the frequency domain. System performance.
Root locus techniques for SISO systems, m
agnitude and angle conditions; root locus construction rules; control system analysis using root locus; controller design using the root locus.
State-space formulation; transfer matrix.
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Teaching and Learning Strategies |
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Lecture - |
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Tutorial - |
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Other - revision |
Teaching Schedule |
Lectures | Seminars | Tutorials | Lab Practicals | Fieldwork Placement | Other | TOTAL | |
Study Hours |
44 |
4 |
2 revision |
50 | |||
Timetable (if known) | |||||||
Private Study | 100 | ||||||
TOTAL HOURS | 150 |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Unseen Written Exam | 3 hours | end of semester 2 | 100 | No reassessment opportunity | exam There is no reassessment opportunity, This is a year-3 module. Notes (applying to all assessments) May or June | |
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. Explanation of Reading List: |