Workshop 2

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Mechanical Dynamics 2012 Workshop 2 Additional Help in Laplace Transforms Workshop Goals ã Consolidate on the concepts of Laplace transform ã Revise/practise transform from first principals ã Properties of Laplace transforms ã Reading the table ã Head start practice for the tutorials Laplace Transform ã Transform from time domain into s-domain – Oscillations – Magnitude ã Time is more natural Solution : convert between the 2 ã Laplace is more appropriate
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  Mechanical Dynamics 2012Workshop 2 Additional Help in Laplace Transforms  Workshop Goals ã Consolidate on the concepts of Laplace transform ã Revise/practise transform from first principals ã Properties of Laplace transforms ã Reading the table ã Head start practice for the tutorials  Laplace Transform ã Transform from time domain into s-domain  – Oscillations  – Magnitude ã Time is more natural Solution : convert between the 2 ã Laplace is more appropriate  How to Transform ã The transformation can be described as  – Treat “s” as a CONSTANT    – Integrate from 0 - to infinity in TIME domain  – Captures ALL time features into LAPLACE variable ã Every transform must have its reverse
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