Practical Stability of the “Cross” Scheme in the Numerical Integration of Dynamic Equations for Flexible Thin-Walled Structural Elements Obeying the Hypotheses of the Timoshenko Theory

DOI10.1007/S10958-017-3284-9zbMath1349.74369OpenAlexW2587850308MaRDI QIDQ2812866

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Publication date: 13 June 2016

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3284-9

zbMATH Keywords

Runge-Kutta methodsisotropic beam-wall

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (1)

Construction of a refined model of the dynamic behavior of flexible reinforced plates of nonlinear elastic materials based on the explicit numerical ``cross scheme

Cites Work

• Runge-Kutta convolution quadrature for the boundary element method
• Stability by Liapunov's direct method. With applications
• Instability of local deformations of an elastic rod
• Pulses, fronts and oscillations of an elastic rod
• A method for the numerical integration of differential equations of second order without explicit first derivatives
• Investigation of elastic-plastic strain processes of plates and shells of revolution under pulse loading in a nonclassical formulation
• Impact buckling of orthotropic shells of revolution with allowance for geometric nonlinearity
• Nonlinear problems of elasticity
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