paper

An isoperimetric inequality for fundamental tones of free plates with nonzero Poisson's ratio

arXiv:1412.4152 · doi:10.1080/00036811.2015.1068299

Abstract

We establish a partial generalization of a prior isoperimetric inequality for the fundamental tone (first nonzero eigenvalue) of the free plate to plates of nonzero Poisson's ratio.

32 pages, 2 figures