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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.
Citation:
V. V. Kazak, N. N. Solokhin, “Sufficient conditions of quasi-accuracy of a mixed boundary condition”, Meždunar. nauč.-issled. žurn., 2017, no. 10-3(64), 107–112
Linking options:
https://www.mathnet.ru/eng/irj219 https://www.mathnet.ru/eng/irj/v64/i10/p107
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