High-frequency cell vibrations and spatial skin effect in thick cascade junction with heavy concentrated masses
Gregory Aleksandrovich Chechkin, Taras Mel’nyk · Comptes Rendus Mécanique · 2014
We study the asymptotic behavior of eigenvalues and eigenfunctions of the Laplacian in a 2D thick cascade junction with heavy concentrated masses. We present two-term asymptotic approximations, as ε → 0 , for the eigenelements in the case of “slightly heavy”, “moderate heavy”, and “super heavy” concentrated masses. Asymptotics of high-frequency cell-vibrations are found as well.