Numerical simulation of nonlinear problems of dynamics of viscoelastic systems with finite numbers of degrees of freedom

Yusupov, M., Karshiev, D.K., Sharipova, U.B., Юсупов, М., Каршиев, Д.К., Шарипова, У.Б.

Ҳисоблаш ва амалий математика муаммолари · 2024-yil

Annotatsiya

The problem of dynamic vibration dampers of hereditarily deformable systems with f inite numbers of degrees of freedom is considered. The rheological properties of the spring (suspension) are taken into account using an integral model with the Koltunov Rzhanitsyn relaxation kernel. The behavior of a system with a damper is considered under free damped oscillations caused by given initial conditions, as well as under con stant, pulsed and periodic external influences. The results obtained allow us to conclude that it is advisable to use dynamic dampers to reduce the amplitude of vibrations in both ideally elastic and hereditarily deformable systems during transient processes. To solve problems, a computational algorithm based on the use of quadrature formulas was used.

Maqola ma’lumotlari
MualliflarYusupov, M., Karshiev, D.K., Sharipova, U.B., Юсупов, М., Каршиев, Д.К., Шарипова, У.Б.
JurnalҲисоблаш ва амалий математика муаммолари
NashriyotТошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази
ISSN2181-8460, 2181-046X
Nashr sanasi2024-05-21
Son1
Betlar111-121
TilIngliz
Ilmiy sohaFizika-matematika
Indeksga qo‘shilgan2026-08-27

Kalit so‘zlar

deformation, relaxation, instantaneous stiffness, rheological properties, viscoelasticity, physical nonlinearity, integral operator, heredity kernel, деформация, релаксация, мгновенная жесткость, реологические свойства, вязкоупругость, физическая нелинейность, интегральный оператор, ядро наследственности

Ilmiy soha

Iqtibos keltirish

APAYusupov, M., Karshiev, D.K., Sharipova, U.B., Юсупов, М., Каршиев, Д.К., & Шарипова, У.Б. (2024). NUMERICAL SIMULATION OF NONLINEAR PROBLEMS OF DYNAMICS OF VISCOELASTIC SYSTEMS WITH FINITE NUMBERS OF DEGREES OF FREEDOM. Ҳисоблаш ва амалий математика муаммолари, (1), 111-121. https://journals.airi.uz/index.php/pvpm/article/view/7
GOST (OAK)Yusupov, M. va b. NUMERICAL SIMULATION OF NONLINEAR PROBLEMS OF DYNAMICS OF VISCOELASTIC SYSTEMS WITH FINITE NUMBERS OF DEGREES OF FREEDOM // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 1. – P. 111-121.
MLAYusupov, M., Karshiev, D.K., Sharipova, U.B., Юсупов, М., Каршиев, Д.К., and Шарипова, У.Б. “NUMERICAL SIMULATION OF NONLINEAR PROBLEMS OF DYNAMICS OF VISCOELASTIC SYSTEMS WITH FINITE NUMBERS OF DEGREES OF FREEDOM.” Ҳисоблаш ва амалий математика муаммолари, (1), 111-121, 2024. https://journals.airi.uz/index.php/pvpm/article/view/7
ChicagoYusupov, M., Karshiev, D.K., Sharipova, U.B., Юсупов, М., Каршиев, Д.К., and Шарипова, У.Б. “NUMERICAL SIMULATION OF NONLINEAR PROBLEMS OF DYNAMICS OF VISCOELASTIC SYSTEMS WITH FINITE NUMBERS OF DEGREES OF FREEDOM.” Ҳисоблаш ва амалий математика муаммолари, (1), 111-121 (2024). https://journals.airi.uz/index.php/pvpm/article/view/7
HarvardYusupov, M., Karshiev, D.K., Sharipova, U.B., Юсупов, М., Каршиев, Д.К., and Шарипова, У.Б (2024) ‘NUMERICAL SIMULATION OF NONLINEAR PROBLEMS OF DYNAMICS OF VISCOELASTIC SYSTEMS WITH FINITE NUMBERS OF DEGREES OF FREEDOM’, Ҳисоблаш ва амалий математика муаммолари, (1), 111-121. https://journals.airi.uz/index.php/pvpm/article/view/7
BibTeX
@article{yusupovm2024,
  title = {NUMERICAL SIMULATION OF NONLINEAR PROBLEMS OF DYNAMICS OF VISCOELASTIC SYSTEMS WITH FINITE NUMBERS OF DEGREES OF FREEDOM},
  author = {Yusupov, M. and Karshiev, D.K. and Sharipova, U.B. and Юсупов, М. and Каршиев, Д.К. and Шарипова, У.Б.},
  journal = {Ҳисоблаш ва амалий математика муаммолари},
  year = {2024},
  number = {1},
  pages = {111-121},
  url = {https://journals.airi.uz/index.php/pvpm/article/view/7}
}

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