On certain methods of solving systems of integrodifferential equations encountered in viscoelasticity problems

DOI10.1016/0021-8928(87)90025-6zbMath0681.73024OpenAlexW2014611577MaRDI QIDQ1823759

Kh. Eshmatov, M. Yusupov, F. B. Badalov

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90025-6

zbMATH Keywords

quadrature formulasfreezinglongitudinal vibrationsviscoelastic roddynamic viscoelasticity problemsnumerical Runge-Kutta method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical and other methods in solid mechanics (74S99) Dynamical problems in solid mechanics (74Hxx)

Related Items (8)

Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia ⋮ Investigation of nonlinear vibrations of viscoelastic plates with initial imperfections ⋮ Nonlinear vibrations of a viscoelastic plate with concentrated masses ⋮ Flutter of a viscoelastic plate in a supersonic gas flow ⋮ Nonlinear flutter of viscoelastic rectangular plates and cylindrical panels of a composite with a concentrated masses ⋮ Dynamic stability of viscoelastic circular cylindrical shells taking into account shear deformation and rotatory inertia ⋮ Mathematical simulation of nonlinear oscillations of viscoelastic pipelines conveying fluid ⋮ Dynamic stability of viscoelastic flexible plates of variable stiffness under axial compression

Cites Work

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