Eigenvalues of orthotropic continuous plates with two opposite sides simply supported
Abstract
It is shown that the eigenvalue ω_{mn} of an orthotropic continuous plate with sides a and b can be obtained from the eigenvalue ω _{mn}^{∗} of a corresponding isotropic continuous plate with sides a and b(D _{x}/H) ^{{1}/{2}} by the use of a reduction formula ω _{mn}ω _{mn}^{∗2}+ {1}/{ρh _{0}}D _{y}  {H ^{2}}/{D _{x}}{n+1}/{b}π ^{4}^{{1}/{2}} where ϱ is the mass density of both plates, h_{0} is the thickness of both plates, and D_{x}, H and D_{y} are the flexural rigidities of the orthotropic one.
 Publication:

Journal of Sound Vibration
 Pub Date:
 August 1976
 DOI:
 10.1016/0022460X(76)908841
 Bibcode:
 1976JSV....47..577S