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Irrigatsiya va melioratsiya №4(34). 2023 Journal of IrrigationBog'liq Irrigatsiya va Melioratsiya jurnaliuniversiteti
Annotasiya
Maqola to‘g‘onning xususiy chastotalari va tebranish formalarini hisoblash va aniqlash usulini ishlab chiqishga bag‘ishlangan.
D'Alembert printsipidan foydalangan holda Lagrange variatsion tenglamasi asosida tekis va fazoviy tuzilmalarning kuchlanish
holati va dinamik xususiyatlarini baholash uchun ishlab chiqilgan matematik model taqdim etilgan. Chekli elementlar usulidan
foydalanib variatsion masala bir jinsli bo‘lmagan algebraik tenglamalarni yoki algebraik xos qiymat masalalarini echishga olib
kelinadi. O
ʻrta Osiyoda qurilgan turli balandlikdagi gruntli toʻgʻonlarning dinamik xarakteristikalari aniqlangan.
Shu bilan birga, gruntli to‘g‘onlarning dinamik xarakteristikalari inshootlarning geometrik o‘lchamlari nisbatiga sezilarli
darajada bog‘liq ekanligi aniqlandi.
Tayanch so‘zlar: gravitatsion va gruntli to‘g‘onlar, tekis va fazoviy masalalar, xususiy chastotalar va formalar.
ASSESSMENT OF DYNAMIC CHARACTERISTICS OF GROUND
DAMS IN SPATIAL STATEMENT
P.J.Matkarimov – Doctor of technical sciences , professor, Namangan institute of engineering and technology,
D.P.Jurayev – PhD, National research university “Tashkent institute of irrigation and agricultural mechanization engineers”
Annotatsiya
The article is devoted to the development of a calculation method and determination of the natural frequencies and vibration
modes of the dam. A developed mathematical model is presented for assessing the stress state and dynamic characteristics of
flat and spatial structures based on the Lagrange variational equation using the D'Alembert principle. A variational problem
using the finite element method leads to the solution of inhomogeneous algebraic equations or to the solution of algebraic
eigenvalue problems. The dynamic characteristics (natural frequencies and natural vibration modes) of soil dams of different
heights built in Central Asia have been determined. The results obtained in spatial and plane formulations are compared and
corresponding conclusions are given.
At the same time, it was revealed that the dynamic characteristics of soil dams significantly depend on the ratio of the
geometric dimensions of the structures.
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