Internal resonance of an axially transporting beam with a two-frequency parametric excitation
DOI10.1007/S10483-022-2930-9OpenAlexW4309925002MaRDI QIDQ2690016
Ruquan Liang, Deng-Bo Zhang, Yuanmei Song, You-Qi Tang, Li Qun Chen
Publication date: 14 March 2023
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-022-2930-9
method of multiple scalesperturbation methodnonlinear vibrationKelvin-Voigt modelRouth-Hurwitz stability criterionviscoelastic Euler-Bernoulli beam
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55) Linear constitutive equations for materials with memory (74D05)
Cites Work
- Two-frequency parametric excitation and internal resonance of a moving viscoelastic beam
- Parametric and internal resonance of axially accelerating viscoelastic beams with the recognition of longitudinally varying tensions
- Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well
- Resonance of a nonlinear forced system with two-frequency parametric and self-excitations
- Non-linear parametric vibration and stability analysis for two dynamic models of axially moving Timoshenko beams
- On transversal vibrations of an axially moving string with a time-varying velocity
- Principal parametric resonances of nonlinear mechanical system with two-frequency and self-excitations
- On the weakly nonlinear, transversal vibrations of a conveyor belt with a low and time-varying velocity
- Transverse vibration of viscoelastic sandwich beam with time-dependent axial tension and axially varying moving velocity
- Dynamic stability of an axially transporting beam with two-frequency parametric excitation and internal resonance
- Vibration of axially moving hyperelastic beam with finite deformation
- Stability of axially accelerating viscoelastic beams: Multi-scale analysis with numerical confirmations
- Chaotic Dynamics of an Axially Accelerating Viscoelastic Beam in the Supercritical Regime
- Vibration and Stability Analysis of Axially Moving Beams with Variable Speed and Axial Force
- Response of two-degree-of-freedom systems to multifrequency parametric excitations
- Parametric Instability of Axially Moving Media Subjected to Multifrequency Tension and Speed Fluctuations
This page was built for publication: Internal resonance of an axially transporting beam with a two-frequency parametric excitation
