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

Famous quotes containing the words practical and/or importance:

“Call them rules or call them limits, good ones, I believe, have this in common: They serve reasonable purposes; they are practical and within a child’s capability; they are consistent; and they are an expression of loving concern.”
—Fred Rogers (20th century)

“I am not sure that it is of the first importance that you should be happy. Many an unhappy man has been of deep service to himself and to the world.”
—Woodrow Wilson (1856–1924)