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 STRUCTURAL DYNAMICS
Code ENGG301
Coordinator Prof JE Mottershead
Mechanical, Materials & Aerospace Eng
J.E.Mottershead@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2019-20 Level 6 FHEQ First Semester 7.5

Aims

To develop an understanding of the essential principles governing the free and forced vibration of simple structural systems. To develop skills in carrying out and reporting upon simple experiments in Structural Dynamics.

Learning Outcomes

(S1) On successful completion of the module, students will be able to show experience and enhancement of the following key skills: Technical report writing.

(S2) On successful completion of the module, students should be able to show experience and enhancement of the following disciple-specific skills: carrying out a laboratory experiment on a damped vibrating system, using measurement equipment, collecting, recording and analysing data.

(S3) On successful completion of the module, students should be able to demonstrate ability in applying knowledge of the above topics to: modelling simple dynamic systems determining natural frequencies and damping ratios solving single degree of freedom free- and forced-vibration problems determining the natural frequencies and mode shapes of simple MDOF systems

(S4) On successful completion of the module,students should be able to demonstrate knowledge and understanding of: natural frequencies and damping ratios; the free vibration of simple systems; harmonic excitation, resonance and the effect of viscous damping; transient excitation and structural response; the dynamical behaviour of simple multi-degree-of-freedom systems.

Syllabus
 

Analysis Techniques. (4 hours) The phasor diagram - examples of its use in describing simple harmonic motion. Laplace transforms - impulse and step response Free Vibration. (4 hours) Free vibration of the mechanical M-C-K system. Natural frequency and damping ratio. Free vibration response to various initial conditions.
Harmonic Forced Vibration. (4 hours) The dynamic magnifier in amplitude and phase, Resonance. Peak of the damped FRF, Base excitation, Transmissibility.
Transient Forced Vibrations (3 hours) The Dirac delta function and Duhamel's integral. General transient excitation and response. Response to blast loading.
Introduction to Multi-Degree-of-Freedom systems (3 hours) Natural frequencies and mode shapes (eigenvalues and eigenvectors) of undamped multi-degree-of-freedom systems. Orthogonality of the undamped normal modes. Labs Single DOF Damped Vibrating System. (D2)

Teaching and Learning Strategies

Teaching Method 1 - Lecture Description: Teaching Method 2 - Laboratory Work Description: Teaching Method 3 - Other Description:

Teaching Schedule
  Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL
Study Hours 18

     3

   2

 23
Timetable (if known)              
Private Study 52
TOTAL HOURS 75

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Assessment 2 Assessment Schedule (When) :Semester 1  2 hrs    90       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Assessment 1 Assessment Schedule (When) :Semester 1  3 hrs    10       

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.