FREE VIBRATION OF THREE-LAYER SHALLOW SPHERICAL SHELLS - SAYOZ O'RNATILGAN UCH QATLAMLI SFERIK QOBIQLARNING ERKIN TEBRANISHI

<em>The paper establishes the similarity of the problem of vibrations of a flat membrane with the problem of free vibrations of a three-layer spherical shell with rigidly fixed edges and bounded by straight lines. The paper proves that a three-layer flat curved spherical shell can be reduced to the theory of a single-layer spherical shell based on linear vibrations, strength theory and the most common manifestations of boundary conditions.-</em> <em>Ushbu maqolada tekis membrananing tebranishlari haqidagi masala hamda to‘g‘ri chiziqli kesmalar bilan chegaralangan, chetlari mahkamlangan uch qatlamli sferiksimon qobiqning erkin tebranishlari muammolari orasidagi o‘xshashlik o‘rnatilgan. Maqolada chiziqli tebranishlar, mustahkamlik nazariyasi va chegaraviy shartlarning eng ko‘p tarqalgan ko‘rinishlari asosida uch qatlamli tekis egilgan sferik qobiqni bir qatlamli sferik qobiq nazariyasi ko‘rinishiga keltirish mumkinligi isbotlangan.</em>

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