Non-Linear Interactions of Acoustic Fields with Plates under Harmonic Excitations
The method of renormalization is used to determine a uniformly valid expansion for the problem of non-linear interactions of acoustic fields with plates under harmonic excitations. The expansion obtained is in agreement with that obtained by Ginsberg, who used the method of strained co-ordinates to render the potential uniform and then used the method of renormalization to render the non-uniform pressure and velocity components calculated from the resulting potential uniform.
Journal of Sound and Vibration
Nayfeh, A. H. and Kelly, S. Graham, "Non-Linear Interactions of Acoustic Fields with Plates under Harmonic Excitations" (1978). Mechanical Engineering Faculty Research. 869.