Sumudu Transform - Practical Importance

Practical Importance

In mechanical and material engineering, the Laplace–Carson transform

 C\{f(t)\} = G(p)
= \int_0^\infty pe^{-pt}f(t)\,dt\qquad(3)

is used in the study of the behavior of linear visco-elastic materials. When the linear visco-elastic constitutive law is transformed to the Laplace–Carson domain, its integral form reduces to the simple . This is not the case when using the Laplace transform itself. Some other constitutive laws are more appropriately described by the Carson transform,

 Car\{f(t)\} = G_{Car}(p)
= p\int_0^\infty e^{-pt}f(t)\,dt\qquad(4)

with the p in front of the integral.

Read more about this topic:  Sumudu Transform

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