id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ajird-524	Gaynazarov Sultan; Rakhimdjanova Nodira	NUMERICAL INVESTIGATION OF INTERACTION OF UNDERGROUND STRUCTURE (TUNNELS) WITH ELASTIC WAVES PROPAGATED IN GROUND MEDIUM	2023	6	.pdf	application/pdf	2145	106	65	3. Calculate accelerations and velocities at time 𝑡 + ∆𝑡 2 : �̈� 𝑡+ ∆𝑡 2 = 𝑎1 (�̇� 𝑡+ ∆𝑡 2 − �̇�𝑡) − �̈�𝑡; �̇� 𝑡+ ∆𝑡 2 = 𝑎1 (𝑈 𝑡+ ∆𝑡 2 − 𝑈𝑡) − �̇�𝑡 . 2𝜇휀𝑇휀 − (𝑟 − 𝛺 𝜌�̈� − 𝑐�̇�)𝛿𝑢𝑑𝛺 − ∫ 𝑃 𝛤 𝛿𝑢𝑑𝛤 = 0 (8) where 𝑟 – volume load vector, 𝑃 – surface load vector.	cache/ajird-524.pdf	txt/ajird-524.txt
