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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2017 Issue 10-3(64), Pages 107–112 (Mi irj219)

PHYSICS AND MATHEMATICS

Sufficient conditions of quasi-accuracy of a mixed boundary condition

V. V. Kazaka, N. N. Solokhinb

a Southern Federal University, Rostov-on-Don
b Don State Technical University, Rostov-on-Don

Abstract: The most common external constraints in the theory of infinitesimal bending of surfaces are the constraints that determine the dependence between the displacement of the edge points and the rotation of the tangent planes of the surface along the edgemixed outer bonds under infinitesimal bending. Such connections are a generalization of the boundary conditions of generalized slip and generalized rotation. In this paper, we study an infinitesimal bending of surfaces of the second order of positive curvature with boundary that are subordinate to the edge of an external connection of the mixed type. In this case we consider the vector field that does not belong to the surface.

Keywords: surface of positive curvature, infinitesimal bending, displacement field, rotation field.

DOI: 10.23670/IRJ.2017.64.019



© Steklov Math. Inst. of RAS, 2024