SCIENTIFIC ABSTRACT ALUMYAE, N. - ALYABYEV, N. Z.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000101210016-9
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: March 20, 2001
• Sequence Number: 16
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

67964
S/023/60/009/01/001/011
D031/DO03
The Fundamental System of Integrals of the Equation of Small Stea-
dy Axisymmetrical Vibrations of an Elastic Conical Shell of Rota-
tion
5, a special equation (2-3) is introduced with coeffi-
cients approximating the leading coefficients A6, B21
Bl, Bo of Eq.(1.1) at x = 0. Solutions of Eq. (2-3)
are presented in form of a contour integral (2-5),
the contours C11 C51 CE (Fig. 1) defining the
solutions ul(z), u5(z), u. (z) respectively,
and the contours Djk (Fig. 2) the solutions Cjjk(z)'
Asymptotic expansions (2.8), (2.9) for the solu-
tions ul(z), ..., u5(z) are obtained by the method
of6depest descent. At sufficiently large values of
Card 3/5 z / , arg z on sector (2.15), the solution(jjl(z)

6796~
S/023/60/009/01/001/011
D031/DO03
The Fundamental System of Integrals of the Equation of Small Stea-
dy Axisymmetrical Vibrations of an Elastic Conical Shell of Rota-
tion
is asymptotic to the solution (j 11.0(z) given by
(2.16) of the membrane equation (2.19). If arg z is
not in sector (2.15), asymptotic forms for 6j j1(z)
can be obtained with the aid of solutions Uk(z), e.g.
if 4 -ff /5