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.