On an attraction basin of the generalized Kapitsas problem

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Abstract

The classic Kapitsa’s problem and its various generalizations about a stability of an inverted pendulum under action of vertical vibrations of support are investigated. By using asymptotic method of two-scale expansions the level of vibrations such, that the vertical position of rod is stable, are found. An attraction basin of a vertical position of rod in the case when this position is stable is found. The both harmonic and random stationary vibrations of support are considered.

Original languageEnglish
Title of host publicationCOMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings
EditorsManolis Papadrakakis, Michalis Fragiadakis
Place of PublicationGreece
PublisherNational Technical University of Athens (NTUA)
Pages3593-3602
Number of pages10
VolumeIII
ISBN (Electronic)9786188284470
DOIs
StatePublished - 2019
Event7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 - Crete, Greece, Hersonissos, Greece
Duration: 24 Jun 201926 Jun 2019
Conference number: 7th
https://2019.compdyn.org

Publication series

NameCOMPDYN Proceedings
Volume2
ISSN (Print)2623-3347

Conference

Conference7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019
Abbreviated title COMPDYN 2019
CountryGreece
CityHersonissos
Period24/06/1926/06/19
Internet address

Scopus subject areas

  • Computers in Earth Sciences
  • Geotechnical Engineering and Engineering Geology
  • Computational Mathematics
  • Civil and Structural Engineering

Keywords

  • Attraction basin
  • Harmonic
  • Kapitsa’s pendulum
  • Random vibrations
  • Stability
  • Two-scale asymptotic expansions

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