Parametric resonance of an axially accelerating viscoelastic membrane with a fractional model
DOI10.1016/j.cnsns.2023.107691MaRDI QIDQ6183800
Jimei Wu, Jiahui Tang, Mingyue Shao, Jiajuan Qing, Shisheng Zhou
Publication date: 23 January 2024
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
bifurcationmultiple-scale methodKelvin-Voigt materialGalerkin truncationRouth-Hurwitz stability criterionvon Karman membrane model
Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear constitutive equations for materials with memory (74D05) Membranes (74K15) Applications of fractional calculus in solid mechanics (74S40)
Cites Work
- Multi-scale analysis and Galerkin verification for dynamic stability of axially translating viscoelastic Timoshenko beams
- Complex modes and traveling waves in axially moving Timoshenko beams
- Dynamic instability of axially moving viscoelastic plate
- Rotary inertia and temperature effects on nonlinear vibration, steady-state response and stability of an axially moving beam with time-dependent velocity
- Analytical analysis on nonlinear parametric vibration of an axially moving string with fractional viscoelastic damping
- Nonlinear vibration of fractional Kelvin-Voigt viscoelastic beam on nonlinear elastic foundation
- Nonlinear dynamics of high-dimensional models of in-plane and out-of-plane vibration in an axially moving viscoelastic beam
- Nonlinear transverse vibration of axially accelerating strings with exact internal resonances and longitudinally varying tensions
- The fractional derivative expansion method in nonlinear dynamic analysis of structures
- Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed
- Parametric and internal resonance of a transporting plate with a varying tension
- Parametric and internal resonances of in-plane accelerating viscoelastic plates
- Internal resonance in parametric vibrations of axially accelerating viscoelastic plates
- Two-dimensional rheological element in modelling of axially moving viscoelastic web
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