DOI
10.34229/KCA2522-9664.25.1.18
UDC 519.6, 539.3
1 State University of Intellectual Technologies and Communication, Odesa, Ukraine
 pr-bob@ukr.net
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2 State University of Intellectual Technologies and Communication, Odesa, Ukraine
kovalev@ukr.net
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4 State University of Intellectual Technologies and Communication, Odesa, Ukraine
ygrikluda@gmail.com
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A SKEW-SYMMETRIC BOUNDARY-VALUE PROBLEM FOR A LAYER WEAKENED
BY TWO THROUGH HOLES WITH SLIDING SEALING OF THE ENDS
Abstract. The paper presents a new mathematical model for solving a static skew-symmetric boundary-value problem for a layer weakened by two through holes with sliding sealing of its ends. A new method based on a system of six singular integral equations has been developed and tested numerically. As a result of a high-precision numerical study, it was found that with a decrease in the center-to-center distance or Poisson’s ratio, an increase in the relative circumferential stress occurs. And with an increase in the Poisson’s ratio, the maximum relative circumferential stress shifts from the bases of the layer to its depth. Under certain combinations of parameters, the effect of the presence of the second hole in the layer ceases to affect. The corresponding values are given. The paper presents the respective dependency graphs.
Keywords: three-dimensional boundary-value problems, singular integral equations, numerical experiment, static bending, through holes.
full text
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