title: About stresses in elastic stripe under normal forces on longitudinal borders
metadata.name: dc.contributor.author
metadata.value: Dahl, Yuriy M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T18:03:48Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T18:03:48Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Dahl Yu.M. About stresses in elastic stripe under normal forces on longitudinal borders. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 318–328.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.214
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15565
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of stresses in the ﬂat stripe S with constant wide 2c which borders loaded concentrated forces was analyzed. The analytical solution of this problem was founded in the terms of the function of complex variable. The stresses in arbitrary point of the strip determined by means of two regular functions Φ(z) and Ψ1(z). These functions are founded by the use of conform reﬂection of the region S on the lower half plane ζ. The problem of this half plane solved analytical (method Cauchy’s integrals). The exact mathematical expressions of the functions Φ(z) and Ψ1 (z) are obtained. The inversely conform reﬂection reduce to known quantity Φ(z) and Ψ1(z). The function Ψ1 (z) is coupled with Φ (z), and so stresses are deﬁned by means of Φ(z) and its derivative Φ (z). The graphics of the nor- mal and tangent stresses on the lines parallel strip’s borders are produced. The comparison of stresses on the axis of strip and Filon’s data were investigated. The solutions satisfy diﬀerential equations of equilibrium, border’s conditions and the equation of continuous.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: plane problem of the theory of elasticity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: infinite stripe
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: complex variable
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Kolosov’s formulas
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: About stresses in elastic stripe under normal forces on longitudinal borders
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 318-328.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15565/1/318-328.pdf
resources.format: Adobe PDF
resources.size: 899,82 kB