Low and high frequency approximations to eigenvibrations of string with double contrasts

Nataliya Babych, Y Golovaty

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We study eigenvibrations for inhomogeneous string consisting of two parts with strongly contrasting stiffness and mass density. In this work we treat a critical case for the high frequency approximations, namely the case when the order of mass density inhomogeneity is the same as the order of stiffness inhomogeneity, with heavier part being softer. The limit problem for high frequency approximations depends nonlinearly on the spectral parameter. The quantization of the spectral semiaxis is applied in order to get a close approximations of eigenvalues as well as eigenfunctions for the prime problem under perturbation.
Original languageEnglish
Pages (from-to)1860-1867
Number of pages8
JournalJournal of Computational and Applied Mathematics
Volume234
Issue number6
DOIs
Publication statusPublished - 15 Jul 2010
Event8th International Conference on Mathematical and Numerical Aspects of Waves - Reading, UK United Kingdom
Duration: 23 Jul 200727 Jul 2007

Keywords

  • quantization
  • WKB method
  • eigenfunction approximation
  • mass perturbation
  • stiff problem
  • high frequency

Fingerprint Dive into the research topics of 'Low and high frequency approximations to eigenvibrations of string with double contrasts'. Together they form a unique fingerprint.

Cite this