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Solid Mechanics Dynamics Tutorial – Damped Vibrations
This work covers elements of the syllabus for the Engineering Council
Exam D225 – Dynamics of Mechanical Systems, C105 Mechanical and
Structural Engineering and the Edexcel HNC/D module Mechanical
Science.
On completion of this tutorial you should be able to do the following.
Define a free damped oscillation.
Explain the purpose of damping.
Define damping coefficient.
Define damping ratio.
Derive formulae that describe damped vibrations.
Determine the natural frequency and periodic time for
damped systems.
Define amplitude reduction factor.
Calculate damping coefficients from observations of
amplitude.
This tutorial covers the theory of natural vibrations with damping and
continues the studies in the tutorial on free vibrations. To do the tutorial
fully you must be familiar with the following concepts.
Simple harmonic motion.
Free vibrations
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