title: Investigation of the frequency properties of a standard linear body
metadata.name: dc.contributor.author
metadata.value: Tregubov, Vladimir P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Egorova, Nadezhda K.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-07-14T13:29:59Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-07-14T13:29:59Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Tregubov V. Р., Еgorova N. К. Investigation of the frequency properties of a standard linear body. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 2, pp. 166-17З.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https //doi.org/10.21638/11701/spbu10.2021.206
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/29868
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: It is known that the Кelvin-Voigt model does not describe stress relaxation, which is observed along with elastic properties in many polymers and biomaterials. In this regard, the standard linear body model is used to describe the properties of these materials. Studies of its properties were mainly limited to the study of its reaction to an instantaneously applied load, as well as to the determination of the time and nature of stress relaxation. Аt the same time, the frequency properties of the standard linear body remained unexplored. In this regard, an analysis of its frequency properties was carried out, which made it possible to study its behavior under vibration exposure. Оn the basis of the equation of motion, the amplitude-frequency response (АFC) was constructed, and its peculiarity was revealed, which consists in the fact that an increase in the damping coefficient leads to a decrease in the maximum value of the АFC only to a certain value greater than one. А further increase in the damping coefficient leads to an increase in the maximum frequency response up to infinity at a frequency that should also be considered resonant. Thus, the frequency response of a standard linear body always has a maximum. The subsequent increase in the damping coefficient leads to the tendency of the maximum frequency response to zero at infinity.
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: standard linear body
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: frequency response
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: model parameters
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: uniqueness of parameter values
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Investigation of the frequency properties of a standard linear body
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 166-173.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/29868/1/166-173.pdf
resources.format: Adobe PDF
resources.size: 386,2 kB