title: Bending of a ribbed plate under complex loading
metadata.name: dc.contributor.author
metadata.value: Goloskokov, Dmitry Р.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Matrosov, Аlexander V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-13T10:36:03Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-13T10:36:03Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Goloskokov D. Р., Matrosov А. V. Bending of a ribbed plate under complex loading. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 2, pp. 120-130.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https //doi.org/10.21638/11701/spbu10.2021.202
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29863
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers the problem of a rectangular plate, supported by a cross system of stiffening ribs, bending. In addition to the transverse load, the plate is subjected to forces in its plane, transmitted through the ribs. Аn analytical solution to the boundary value problem for the resolving differential equation with respect to the normal deflection of the plate, describing the deformation of a rectangular plate supported by stiffeners, is obtained. The solution is presented in the form of series in combinations of regular and special discontinuous functions, which converge quickly and lead to a simple computational algorithm. The influence of the ribs is taken into account in the equation in the form of additional terms containing factors with a delta function. This approach allows us to get rid of a number of assumptions regarding the interaction of the plate with its reinforcing elements. The use of the apparatus of generalized functions when modeling objects of this type simplifies the boundary conditions (there are no conditions for conjugation of various structural elements), but at the same time the differential equations become more complicated. The problem is reduced to the so-called partially degenerate equations. Development of analytical methods that allow obtaining exact solutions of differential equations of this type, and their introduction into computational practice, is one of the urgent tasks of the mechanics of objects with disturbed regularity.
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. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stiffeners
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mathematical model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: numerical-analytical methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: special discontinuous functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Dirac function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Heaviside function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Fourier series
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: orthogonal series
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Bending of a ribbed plate under complex loading
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 120-130.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29863/1/120-130.pdf
resources.format: Adobe PDF
resources.size: 442,16 kB