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In this video we take a look at how vibrating systems can be modelled, starting with the lumped parameter approach and single degree of freedom models. We then go on to look at damping, the dissipation of energy that occurs in all real systems, as well as forced vibration, resonance and multiple degree of freedom models.

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ERRATA:
– At 04:16, the terms sqrt(k/m) appears not in the equation of motion, but in the *solution* to the equation of motion

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For further reading I’d recommend the following:

– J. L. Humar – Dynamics of Structures

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