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V. A. Krysko M. V. Zhigalov O. A. Saltykova A. V. Krysko 《Journal of Applied Mechanics and Technical Physics》2011,52(5):834-840
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. 相似文献