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
Year CATS Level Semester CATS Value
Session 2018-19 Level 6 FHEQ Second Semester 15

Aims

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

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.

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.

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.

On successful completion of this module, students will be able to gain basic understanding of modern control theory.

On successful completion of this module, students will be able to enhance their ability to solve differential equations and manipulate vectors and matrices.


Syllabus

 
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.

 

 

 


Teaching and Learning Strategies

Lecture -

Tutorial -

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

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

Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
Explanation of Reading List: