id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3350	Ramazanova, Aysel	On Determining Initial Conditions of Equations Flexural-Torsional Vibrations of a Bar	2019	14	.pdf	application/pdf	4454	175	81	= ∑N i=1 c N 2i (t)ωi (x) from the following rela- tions ∫ l 0 (E (x) I (x) ∂2δyN ∂x2 d2ωp(x) ∂x2 + ρ (x)A (x) ∂2δyN ∂t2 ωp(x)− − ρ (x)A (x) e (x) ∂2δθN ∂t2 ωp(x) ) dx = 0, p = 1, N, (33) ∫ l 0 (E (x)Cw (x) ∂2δθN ∂x2 d2ωp(x) ∂x2 − G (x)C (x) δθN d2ωp(x) ∂x2 − −ρ (x)A (x) e (x) ∂2δyN ∂t2 ωp(x)+ ρ (x) ( I (x) +A (x) e2 (x) ) Hence it follows that ∆Jα (v) = ∫ l 0 [(y (x, T ; v)− ϕ1 (x)) δy (x, T ) +	cache/ejpam-3350.pdf	txt/ejpam-3350.txt