VIBRATIONS OF ARCHIMEDEAN SPIRALS WITH DISPLACEMENTS PERPENDICULAR TO THE PLANE OF THE CURVE: Ruziyev T.R Associate professor of Bukhara State Pedagogical Institute

Рузиев Т.Р

Таълим ва инновацион тадқиқотлар · 2025-yil

Annotatsiya

The work examines vibrations of the Archimedes spiral. Differential equations of motion are integrated using the asymptotic method. To do this, the basic partial differential equations are reduced to ordinary differential equations with variable coefficients. The viscoelastic properties of materials are taken into account using complex elastic moduli. The construction of asymptotic expansions for eigenfunctions and eigenfrequencies corresponding to both types of oscillations of a repeatedly twisted flat spiral spring with fixed ends is presented. A technique has been developed for obtaining asymptotic resolving equations over a large range of changes in the variable φ and the corresponding boundary conditions. The solution is obtained in the form of series.

Maqola ma’lumotlari
MualliflarРузиев Т.Р
JurnalТаълим ва инновацион тадқиқотлар
NashriyotБухДУ
ISSN2181-1709, 2181-1717
Nashr sanasi2025-01-04
Son5
Betlar300-304
TilIngliz
Ilmiy sohaPedagogika
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

спирали Архимеда, обыкновенные дифференциальные уравнения, вязкоупругие свойства, смещения, Archimedes’ spirals, ordinary differential equations, viscoelastic properties, displacements

Ilmiy soha

Pedagogika

Iqtibos keltirish

APAРузиев Т.Р (2025). VIBRATIONS OF ARCHIMEDEAN SPIRALS WITH DISPLACEMENTS PERPENDICULAR TO THE PLANE OF THE CURVE: Ruziyev T.R Associate professor of Bukhara State Pedagogical Institute. Таълим ва инновацион тадқиқотлар, (5), 300-304. https://interscience.uz/index.php/home/article/view/4198
GOST (OAK)Рузиев Т.Р VIBRATIONS OF ARCHIMEDEAN SPIRALS WITH DISPLACEMENTS PERPENDICULAR TO THE PLANE OF THE CURVE: Ruziyev T.R Associate professor of Bukhara State Pedagogical Institute // Таълим ва инновацион тадқиқотлар. – 2025. – № 5. – P. 300-304.
MLAРузиев Т.Р. “VIBRATIONS OF ARCHIMEDEAN SPIRALS WITH DISPLACEMENTS PERPENDICULAR TO THE PLANE OF THE CURVE: Ruziyev T.R Associate professor of Bukhara State Pedagogical Institute.” Таълим ва инновацион тадқиқотлар, (5), 300-304, 2025. https://interscience.uz/index.php/home/article/view/4198
ChicagoРузиев Т.Р. “VIBRATIONS OF ARCHIMEDEAN SPIRALS WITH DISPLACEMENTS PERPENDICULAR TO THE PLANE OF THE CURVE: Ruziyev T.R Associate professor of Bukhara State Pedagogical Institute.” Таълим ва инновацион тадқиқотлар, (5), 300-304 (2025). https://interscience.uz/index.php/home/article/view/4198
HarvardРузиев Т.Р (2025) ‘VIBRATIONS OF ARCHIMEDEAN SPIRALS WITH DISPLACEMENTS PERPENDICULAR TO THE PLANE OF THE CURVE: Ruziyev T.R Associate professor of Bukhara State Pedagogical Institute’, Таълим ва инновацион тадқиқотлар, (5), 300-304. https://interscience.uz/index.php/home/article/view/4198
BibTeX
@article{article2025,
  title = {VIBRATIONS OF ARCHIMEDEAN SPIRALS WITH DISPLACEMENTS PERPENDICULAR TO THE PLANE OF THE CURVE: Ruziyev T.R Associate professor of Bukhara State Pedagogical Institute},
  author = {Рузиев Т.Р},
  journal = {Таълим ва инновацион тадқиқотлар},
  year = {2025},
  number = {5},
  pages = {300-304},
  url = {https://interscience.uz/index.php/home/article/view/4198}
}

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