Last modified: 25 Mar 2016 11:32
The course is aimed principally at students interested in mechanical engineering. It aims to equip students with the analytical and problem-solving skills required to calculate the vibration response of nonlinear systems and engineering components like rods, tensioned cables and beams. The course includes a mixture of analytical and numerical methods (Matlab) for the solution of these problems. It also includes an alternative method for generating equations of motions and an overview of instability in dynamic systems with the Tacoma Narrows Bridge used as an example.
|Session||First Sub Session||Credit Points||10 credits (5 ECTS credits)|
The course will commence with an introduction to the vibration of non-linear systems with a qualitative description of non-linear effects, and quantitative evaluation of the influence of small non-linearities on single degree of freedom vibrating systems using perturbation procedures and simulation. Subsequently, the axial and torsional vibration of rods and lateral vibration of strings and beams will be examined with techniques presented for the calculation of the free vibration, normal modes and natural frequencies and forced response. An overview of Lagrange’s equations of motion is presented as an alternative formulation to Newton’s equations. The final part of the course will be a short overview of instability in single degree of freedom systems will be presented.
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Students can receive feedback on their progress with the Course on request at the weekly tutorial/feedback sessions. There will be tutorial sessions dedicated solely to feedback on sample/past exam papers towards the end of the course.