A Method for Separating the Matrix Spectrum by a Straight Line and an Infinite Strip Flutter Problem Full article
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Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
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| Output data | Year: 2024, Volume: 64, Number: 8, Pages: 1704-1714 Pages count : 11 DOI: 10.1134/s0965542524700891 | ||||
| Tags | spectrum dichotomy, stability domain, flutter, discretization of differential operator, neutral curve | ||||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0008 |
Abstract:
A novel method for separating the matrix spectrum by a straight line based on a fractional linear transformation is proposed. This method has a number of advantages over the approaches based on an exponential transformation; more precisely, the range of its application is wider and the number of iterations needed for its convergence is much lower. The proposed method is used to study flutter problems for an infinite strip under various edge fastening conditions, which, after suitable discretization of differential operators, are reduced to spectral problems for linear operators. The study of stability regions by the method of spectrum dichotomy by the imaginary axis makes it possible to construct neutral curves in the plane of parameters of the flutter problem.
Cite:
Biberdorf E.A.
, Rudometova A.S.
, Li W.
, Jumbaev A.D.
A Method for Separating the Matrix Spectrum by a Straight Line and an Infinite Strip Flutter Problem
Computational Mathematics and Mathematical Physics. 2024. V.64. N8. P.1704-1714. DOI: 10.1134/s0965542524700891 WOS Scopus РИНЦ OpenAlex
A Method for Separating the Matrix Spectrum by a Straight Line and an Infinite Strip Flutter Problem
Computational Mathematics and Mathematical Physics. 2024. V.64. N8. P.1704-1714. DOI: 10.1134/s0965542524700891 WOS Scopus РИНЦ OpenAlex
Original:
Бибердорф Э.А.
, Рудометова А.С.
, Ли В.
, Жумабаев А.Д.
Метод разделения матричного спектра относительно прямой и задача о флаттере бесконечной полосы
Журнал вычислительной математики и математической физики. 2024. Т.64. №8. С.1340-1352. DOI: 10.31857/S0044466924080026 РИНЦ OpenAlex
Метод разделения матричного спектра относительно прямой и задача о флаттере бесконечной полосы
Журнал вычислительной математики и математической физики. 2024. Т.64. №8. С.1340-1352. DOI: 10.31857/S0044466924080026 РИНЦ OpenAlex
Dates:
| Submitted: | Apr 2, 2024 |
| Accepted: | May 2, 2024 |
| Published print: | Sep 26, 2024 |
| Published online: | Sep 26, 2024 |
Identifiers:
| Web of science: | WOS:001324967400012 |
| Scopus: | 2-s2.0-85205368278 |
| Elibrary: | 69921017 |
| OpenAlex: | W4402883630 |
Citing:
| DB | Citing |
|---|---|
| Scopus | 1 |