INHOMOGENEOUS ANNULAR PLATES WITH EXACTLY BEAM-LIKE RADIAL SPECTRA

Authors
Citation
Hpw. Gottlieb, INHOMOGENEOUS ANNULAR PLATES WITH EXACTLY BEAM-LIKE RADIAL SPECTRA, IMA journal of applied mathematics, 50(2), 1993, pp. 107-112
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
02724960
Volume
50
Issue
2
Year of publication
1993
Pages
107 - 112
Database
ISI
SICI code
0272-4960(1993)50:2<107:IAPWEB>2.0.ZU;2-G
Abstract
There are seven classes of inhomogeneous beams which are isospectral w ith each other and with the homogeneous beam in the clamped-clamped co nfiguration. By a logarithmic coordinate transformation, eight classes of inhomogeneous clamped annular plates may thereby be obtained which have different radial distributions for densities and flexural rigidi ties but which all have the same radial vibration spectrum characteris tic of a clamped homogeneous beam.