Chaotic dynamic buckling of rectangular spherical shells under harmonic lateral load

J. Awrejcewicz, A. V. Krysko, M. V. Zhigalov, V. A. Krysko

Результат исследований: Материалы для журналаСтатья

2 Цитирования (Scopus)

Аннотация

Dynamic bucking criteria for spherical shells of a rectangular form under sinusoidal lateral load are proposed and developed taking into consideration geometric and physical non-linearity. A mathematical model of thin shallow shells is constructed on the basis of the Kirchoff-Love hypothesis and the von Kármán geometric non-linearity, whereas the physical non-linearity follows the Ilyushin theory of plastic deformations. Reliability of the results is proved by comparing them with the results obtained by means of higher-order approximations of the Faedo-Galerkin method. Three scenarios (Feigenbaum, Ruelle-Takens-Newhouse and Pomeau-Manneville) are detected while transiting from regular to quasi-periodic/chaotic vibrations.

Язык оригиналаАнглийский
Страницы (с-по)80-99
Число страниц20
ЖурналComputers and Structures
Том191
DOI
СостояниеОпубликовано - 15 окт 2017

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modelling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

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