Nonsinusoidal bending waves in Timoshenko beam lying on nonlinear elastic foundation

Ерофеев, В. И.; Kazhaev, V. V.; Lisenkova, E. E.; Semerikova, N. P.

doi:10.3103/s1052618808030059

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The Equation Derivation1

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2016

2024

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Cited by 10 publications

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“…Note that the equation similar to (8) was previously obtained in [16] for bending waves in Timoshenko-type beam lying on a nonlinear elastic foundation. The qualitative analysis of this equation was carried out for the case 3 = 4 = 0.…”

Section: The Equation Derivationmentioning

confidence: 60%

Axisymmetric Longitudinal-Bending Waves in a Cylindrical Shell Interacting with a Nonlinear Elastic Medium

Zemlyanukhin

Бочкарев

Mogilevich

et al. 2016

Modelling and Simulation in Engineering

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A nonlinear differential equation is derived which describes the propagation of axisymmetric stationary longitudinal-bending waves in infinite cylindrical shell of Timoshenko type, interacting with the external nonlinear elastic medium. A modified perturbation method based on the use of diagonal Pade approximants was applied to build exact solitary-wave solutions of the derived equation in the form of traveling front and the traveling pulse. Numerical solutions of the equation, obtained by means of finite difference method, are in good agreement with the corresponding exact analytical ones.

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Section: The Equation Derivationmentioning

confidence: 60%