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Structural Dynamics and Vibration in Practice: An Engineering Handbook

By Douglas Thorby

Appendix A: A Short Table of Laplace Transforms

f( t)	F( s)	Notes
?(t)	1	Unit impulse or Dirac function.
H( t)		Unit step or Heaviside function.
e ^- ^at
te ^- ^at
t ⁿ		n must be a positive integer n! = factorial n
Sin ?t
cos ?t
e ^-atSin ?t
e ^-at cos ?t
e ^-at(1- at)
1 - COS ?t

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