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:

“Tried by a New England eye, or the more practical wisdom of modern times, they are the oracles of a race already in its dotage; but held up to the sky, which is the only impartial and incorruptible ordeal, they are of a piece with its depth and serenity, and I am assured that they will have a place and significance as long as there is a sky to test them by.”
—Henry David Thoreau (1817–1862)

“Whoever deliberately attempts to insure confidentiality with another person is usually in doubt as to whether he inspires that person’s confidence in him. One who is sure that he inspires confidence attaches little importance to confidentiality.”
—Friedrich Nietzsche (1844–1900)