Acos( t 0) . (3.38)
Matematik mayatnik uchun tebranish davri shunday ko’rinishga ega:
, (3.39)
bu yerda l - matematik mayatnikning uzunligi, g - erkin tushishi tezlanishi.
Fizik mayatnik uchun tebranish davri quyidagicha bo’ladi:
, (3.40)
bu yerda I- fizik mayatnikning inersiya momenti, t – massasi , L - fizik mayatnikning osilish nuqtasi bilan massa markazi orasidagi masofa.
Tebranishlarning fazoda tarqalishiga to’lqin deb ataladi. To’lqinlar ikki xil bo’ladi: kundalang va buylama to’lqinlar. Kundalang to’lqinlarda muhitning zarralari to’lqin tarqalayotgan yo’nalishga perpendikulyar yo’nalish bo’ylab tebranadi. To’lqin uzunligi , to’lqin tezligi v, tebranish davri T va chastotasi n orasida quyidagi boglanish bor:
v![](data:image/png;base64,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) ![](data:image/png;base64,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) n. (3.41)
Elastik muhitda tarqalayotgan ko’ndalang to’lqin tezligi formula bilan ifodalanadi:
Ve![](data:image/png;base64,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) , (3.42)
bunda G -siljish moduli (ko’ngdalang elastiklik moduli), - muhit zichligi.
Bo’ylama to’lqin tezligi quyidagi formula bilan ifodalanadi:
Vb![](data:image/png;base64,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) , (3.43)
bu yerda ye - YUng moduli.
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