Dynamical stability of viscoelastic column with fractional derivative constitutive relation

DOI10.1023/A:1015506420053zbMath1116.74364OpenAlexW4233625387MaRDI QIDQ5941798

Chang-Jun Cheng, Genguo Li, Zheng-You Zhu

Publication date: 30 August 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015506420053

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05) Volterra integral equations (45D05)

Related Items (12)

Stochastic averaging of strongly nonlinear oscillators with small fractional derivative damping under combined harmonic and white noise excitations ⋮ Dynamic stability analysis of Mindlin viscoelastic plates subjected to constant and harmonic in-plane compressions based on free vibration analysis of elastic plates ⋮ Analysis on limit cycle of fractional-order van der Pol oscillator ⋮ Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin-Voigt type ⋮ Primary resonance of Duffing oscillator with fractional-order derivative ⋮ Dynamic analysis of a plate on the generalized foundation with fractional damping subjected to random excitation ⋮ NEIMARK BIFURCATIONS OF A GENERALIZED DUFFING–VAN DER POL OSCILLATOR WITH NONLINEAR FRACTIONAL ORDER DAMPING ⋮ Asymptotical stability analysis of linear fractional differential systems ⋮ Averaging oscillations with small fractional damping and delayed terms ⋮ The transversal creeping vibrations of a nonhomogeneous beam with fractional derivative order constitutive relation ⋮ Numerical analysis of fractional viscoelastic column based on shifted Chebyshev wavelet function ⋮ Dynamical behavior of nonlinear viscoelastic Timoshenko beams with damage on a viscoelastic foundation

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