High frequency asymptotics of global vibrations in a problem with concentrated mass

Abstract

We consider an elastic system containing a small region where the density is very much higher then elsewhere. Such system possesses two types of eigenvibrations, which are local and global vibrations. Complete asymptotic expansions of global eigenvibrations for ordinary differential operator of the fourth order are constructed using WKB--technique.

9 pages; published in Ukrainian (1999)