Effect of transverse shears on complex nonlinear vibrations of elastic beams

V. A. Krysko, M. V. Zhigalov, O. A. Saltykova, A. V. Krysko

Результат исследований: Материалы для журналаСтатья

5 Цитирования (Scopus)

Аннотация

Models of geometrically nonlinear Euler-Bernoulli, Timoshenko, and Sheremet'ev-Pelekh beams under alternating transverse loading were constructed using the variational principle and the hypothesis method. The obtained differential equation systems were analyzed based on nonlinear dynamics and the qualitative theory of differential equations with using the finite difference method with the approximation O(h2) and the Bubnov-Galerkin finite element method. It is shown that for a relative thickness λ ≤ 50, accounting for the rotation and bending of the beam normal leads to a significant change in the beam vibration modes.

Язык оригиналаАнглийский
Страницы (с-по)834-840
Число страниц7
ЖурналJournal of Applied Mechanics and Technical Physics
Том52
Номер выпуска5
DOI
СостояниеОпубликовано - 1 сен 2011
Опубликовано для внешнего пользованияДа

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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