QOVUSHQOQ-ELASTIK TO‘G‘RI TO‘RTBURCHAKLI ORTOTROP PLASTINANING ERKIN TEBRANISHI

Authors

  • A. Asatullaev Toshkent arxitektura-qurilish universiteti1, “Toshkent irrigatsiya va qishloq xo‘jaligini mexanizatsiyalash muxandislari instituti” Milliy tadqiqot universiteti2,
  • D. Xodjaev Toshkent arxitektura-qurilish universiteti1, “Toshkent irrigatsiya va qishloq xo‘jaligini mexanizatsiyalash muxandislari instituti” Milliy tadqiqot universiteti2,
  • R. Abdikarimov Toshkent arxitektura-qurilish universiteti1, “Toshkent irrigatsiya va qishloq xo‘jaligini mexanizatsiyalash muxandislari instituti” Milliy tadqiqot universiteti2,

Keywords:

to‘g‘ri to‘rtburchakli plastina, erkin tebranishlar, qovushqoq-elastiklik xususiyat, ortotropiya, matematik model, relaksatsiya yadrosi, integral-differensial tenglama, sonli usul.

Abstract

Maqolada o‘zgarmas qalinlikka ega bo‘lgan qovushqoq-elastik to‘g‘ri to‘rtburchakli ortotrop plastinaning erkin tebranishlari to‘g‘risidagi masalaning turli xil chegaraviy shartlar ostida matematik modeli taqdim etilgan.  Kirxgof-Lyav gipotezasidan foydalangan holda o‘zgarmas qalinlikdagi qovushqoq-elastik plastinaning erkin tebranishlari to‘g‘risidagi masalaning geometrik chiziqli matematik modeli ishlab chiqilgan. Egilishning ko‘phadli approksimaksiyasiga asoslangan Bubnov-Galerkin usuli yordamida masala o‘zgarmas koeffitsientli chiziqli integral-differensial tenglamalar tizimini yechishga olib kelinadi. Zaif-singulyar yadro sifatida uchta reologik parametrli Koltunov-Rjanitsin yadrosi tanlangan. O‘zgarmas qalinlikdagi qovushqoq-elastik plastinaning erkin tebranishiga materialning reologik parametrlari, fizik-mexanik va geometrik parametrlarning ta’siri o‘rganilgan.

References

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Published

2023-05-25

How to Cite

Asatullaev, A., Xodjaev, D., & Abdikarimov, R. (2023). QOVUSHQOQ-ELASTIK TO‘G‘RI TO‘RTBURCHAKLI ORTOTROP PLASTINANING ERKIN TEBRANISHI. GOLDEN BRAIN, 1(1), 339–343. Retrieved from https://researchedu.org/index.php/goldenbrain/article/view/4590

Issue

Vol. 1 No. 1 (2023): QURILISHDA INNOVATSION TEXNOLOGIYALAR

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Articles

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