Structural Acoustics

164 Structural Acoustics: Deterministic and Random Phenomena

© 2011 by Taylor and Francis Group, LLC

The

G

s are calculated from the extension of Eason and colleagues’ equations

given in the previous sections.

A more general solution for point loading of an innite homogeneous iso-

tropic space is given by Love

4

and Stokes.

5

The Stokes–Love solution gives

the relations for a point load with any time dependency, whereas the previ-

ous relations were for harmonic loading and the resulting Green’s functions,

which could be used in random loading situations. The Love relations are

as follows:

β λ ρ ρ= + = = − + − + −( )/ , / , ( ) ( ) ( )2

0

2

0

2

0

2

G b