KO‘P QATLAMLI SILINDRIK QOVUSHQOQ ELASTIKLIK STRUKTURAVIY BIR JINSLI BO‘LMAGAN QUDUQ TEBRANISHLARI VA TO‘LQIN TARQALISHI MASALASINI QO’YILISHI VA YECHISH METODIKASI
Keywords:
Qovushqoq-elastik muhit, differensial usul, silindrik jism, to’lqin, elastiklik moduli.Abstract
Ushbu maqolada uzun silindrik qovushqoq - elastiklik (dissipativ bir jinsli va bir jinsli bo‘lmagan) jismlarda to‘lqin tarqalishida masalaning qo’yilishi ikki xil usuli keltirib o’tilgan. Mexanik sistemadagi har bir qatlamning harakat differensial tenglamasi Lame tenglamasi orqali ifodalandi. Qatlamlar chegarasida qattiq mahkamlanganlik yoki sirpanish sharti qo‘yildi. Masalalar deformatsiyalanuvchan qattiq jismlar mexanikasining aralash masalasi va ko‘chishlar orqali qo‘yilgan masalalarga keladi. Qo‘yilgan masalalarning yechimlari eksponensional va maxsus Bessel, Neyman, Xankel va Mate funksiyalari (silindrik formadagi to‘lqin o‘tkazgichlarda) orqali ifoda qilinadi.
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