id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ajtas-2922	Narzullaev Muhammad Azamat	FLEXURAL VIBRATIONS OF A DOUBLE-LAYER ELASTIC PLATE	2025	8	.pdf	application/pdf	2173	101	58	The analysis of dispersion equations and their numerical solutions allows us to draw the following conclusions: - when replacing - k ~ with - k ~ symmetry of dispersion curves is observed; - the higher the value of m or the lower the value of β, the earlier and faster the dispersion curves with the positive and negative imaginary parts diverge; -the higher the value of m and the lower the value of b, the faster the variance curve with positive and negative fractions; - dispersion curves of the genetic-elastic spectrum, corresponding to the real grid of the elastic spectrum, consist of a complex number, the abstract part of which is positive, and this solution determines the inversion to zero of the coordinate; - the concept of a closing frequency for the hereditary-elastic spectrum loses its meaning, since y = 0 and ω>0 will not be the roots of the dispersion equation; -Networks of the hereditarily elastic spectrum have the greatest curvature near the closing frequency of the elastic spectrum.  In addition, the condition of continuity of displacements on the contact surface is y = b ( ) ( ) ( ) ( ) ( ) ( )+−+−+− === bwbwbbbubu ,;  (3) and the condition of equality: ( ) ( ) ( ) ( ) ( ) ( )+−+−+− === bbbbbb yzyzxyyyyyxy  ;; where (b=b/2) must be satisfied.	cache/ajtas-2922.pdf	txt/ajtas-2922.txt
