Spectral Analysis Of Elastic Waveguides
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Beykent Üniversitesi
Erişim Hakkı
Özet
This paper deals with the spectral analysis of elastic waveguides shaped like an infinite cylinder with a bounded or unbounded cross section. Note that waveguides with bounded cross sections were studied in the framework of the operator and operator pencil theory. In this paper we extend this theory on elastic waveguides with a unbounded cross section. The problem reduces to the spectral theory of a one-parameter family of unbounded operators. The spectral structure, the asymptotics of the eigenvalues, comparisons between the solutions of different problems and the existence of special guided modes for these operators are the main questions that we study in this paper. We use an operator approach to solve these problems, and on the basis of this approach, we suggest alternative methods to solve spectral problems arising in the theory of both closed elastic waveguides and elastic waveguides with unbounded cross sections.
Açıklama
Anahtar Kelimeler
Eigenvalue, Spectrum, Operator, Wave solution, Elastic waveguide, Perturbation
Kaynak
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
BUJSE 13/1 (2020), 43-54
