Nonlinear dynamics of fractional viscoelastic PET membranes with linearly varying density
DOI10.1016/j.cnsns.2023.107559OpenAlexW4387004658MaRDI QIDQ6059004
Mingyue Shao, Jiajuan Qing, Jimei Wu, Shisheng Zhou
Publication date: 1 November 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107559
finite difference methodBubnov-Galerkin methodHamilton principleCaputo fractional derivativeKelvin-Voigt material
Vibrations in dynamical problems in solid mechanics (74H45) Linear constitutive equations for materials with memory (74D05) Finite difference methods applied to problems in solid mechanics (74S20) Membranes (74K15) Applications of fractional calculus in solid mechanics (74S40)
Cites Work
- Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam
- Kelvin-Voigt versus Bürgers internal damping in modeling of axially moving viscoelastic web
- Implicit finite difference approximation for time fractional diffusion equations
- Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method
- Nonlinear vibrations of a rectangular hyperelastic membrane resting on a nonlinear elastic foundation
- Nonlinear vibration of fractional Kelvin-Voigt viscoelastic beam on nonlinear elastic foundation
- Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function
- A numerical method for solving fractional-order viscoelastic Euler-Bernoulli beams
- Numerical analysis for compact difference scheme of fractional viscoelastic beam vibration models
- Vibration analysis of variable fractional viscoelastic plate based on shifted Chebyshev wavelets algorithm
- Numerical analysis of variable fractional viscoelastic column based on two-dimensional Legendre wavelets algorithm
- Parametric and internal resonances of in-plane accelerating viscoelastic plates
- Nonlinear vibration analysis of fractional viscoelastic cylindrical shells
- Two methods for studying the response and the reliability of a fractional stochastic dynamical system
- Free in-plane vibration of an axially moving membrane
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