Keywords
Abstract
Ushbu maqolada tarang tortilgan torning ko‘ndalang tebranish jarayoni fizik va matematik nuqtai nazardan tadqiq etiladi. Dastlab torning soddalashtirilgan fizik modeli qaralib, uning kichik elementiga ta’sir etuvchi kuchlar muvozanati Nyutonning ikkinchi qonuni asosida tahlil qilinadi. Shu yondashuv orqali tor tebranishini ifodalovchi xususiy hosilali differensial tenglama, ya’ni to‘lqin tenglamasi hosil qilinadi. Tenglama uchun boshlang‘ich va chegaraviy shartlar kiritilib, masalaning to‘liq matematik qo‘yilishi shakllantiriladi hamda yechim o‘zgaruvchilarni ajratish va Fourier qatorlari usuli yordamida ifodalanadi.
References
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