title: Dynamics of rod under axial impact by a body
metadata.name: dc.contributor.author
metadata.value: Belyaev, Alexander K.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Ma, Chien-Ching
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Morozov, Nikita F.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tovstik, Petr E.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tovstik, Tatiana P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shurpatov, Anatoly O.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-09-20T13:55:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-09-20T13:55:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Belyaev A.K., Ma Ch.-Ch., Morozov N. F., Tovstik P.E., Tovstik T.P., Shurpatov A.O. Dynamics of rod under axial impact by a body. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 3, pp. 506–515.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.312
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/7152
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A longitudinal elastic impact a body makes on a thin rod is considered. The results of theoretical, finite
  element and experimental approaches to the solution of the problem are compared. The theoretical
  approach takes into account both the propagation of longitudinal waves in the rod and the local
  deformation due to the Hertz model. This approach leads to a differential equation with a delayed
  argument. A three-dimensional dynamic problem is considered within the framework of finite-element
  approach, in which the wave propagation and local deformation are automatically taken into account.
  A benchmark of these two approaches showed a complete qualitative and satisfactory quantitative
  agreement of the results in the contact force and the impact time.
  In the experiment, only the impact time was determined. Comparison of the measured impact time
  with the theoretical and finite-element results was satisfactory. Due to the fact that the tested rod was
  relatively short, an approximate model with two degrees of freedom was also developed to calculate the
  impact time.
  The problem of excitation of transverse oscillations after the impactor rebound off the rod is solved.
  For parametric resonance, the motion has the character of beats at which the energy of longitudinal
  oscillation is transferred into the energy of transverse oscillation and vice versa. An estimate for the
  maximum possible amplitude of transverse oscillation is obtained. Refs 12. Figs 6. Table 1.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при поддержке РФФИ (гранты №16.51.52025 MHT-a, №16.01.00580-a).
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 4 (62); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: rod
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: impact
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Saint-Venant theory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hertz theory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Sears theory
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: impact time
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: impact impulse
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: parametric resonance
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Dynamics of rod under axial impact by a body
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 12-Belyaev.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/7152/1/12-Belyaev.pdf
resources.format: Adobe PDF
resources.size: 349,87 kB