title: Model study of the influence of multi-joint muscles on the frequency characteristics of the human 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: 2020-11-19T10:52:22Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-11-19T10:52:22Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Tregubov V. P., Egorova N. K. Model study of the influence of multi-joint muscles on the frequency characteristics of the human body. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 3, pp. 267–276.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.305
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/20731
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: It is noted that the Kelvin—Voigt model is unsuitable for describing some polymers and
  biological tissues. In these cases, a three-component combination of elements, which consists
  of a spring and damper, connected in parallel and a spring sequentially attached to them,
  is used. The force characteristic of such a combination includes not only the strain, strain
  rate, and force, but also the rate of force change. Examples of such systems are the blood
  vessel wall and the intervertebral disc, which have been given special attention. Since the
  motion of such systems is described by an ordinary third-order differential equation, they
  are classified as systems with a non-integer number of degrees of freedom. For a single-mass
  oscillating system with one and a half degrees of freedom, a transfer function was constructed
  using the Laplace transform. In addition, the amplitude-frequency response (AFR) was also
  constructed. Analysis of this characteristic showed that increasing the damping coefficient
  from zero to infinity first leads to a decrease in its maximum to a certain non-zero value, and
  then to an increase and reaching infinity with an infinite value of the damping coefficient.
  The same feature is demonstrated on a two-mass system of chain structure, each link of
  which has one and a half degrees of freedom. A sequential combination of seven such links
  was used to model the lumbar spine in the structure of a General body model of a sitting
  person subject to vertical vibration. Multi-link elastic-viscous joints were used to model the
  multi-articular muscles of the lumbar spine. Additional experimental studies are needed to
  determine the numerical values of the parameters of the proposed model.
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 16; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: mechanical system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: amplitude-frequency response
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: non-integer number of degrees of freedom
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: resonant frequency
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Model study of the influence of multi-joint muscles on the frequency characteristics of the human body
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 267-276.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/20731/1/267-276.pdf
resources.format: Adobe PDF
resources.size: 422,68 kB