Principal parametric resonances of a general continuous system with cubic nonlinearities
DOI10.1016/j.amc.2012.08.048zbMath1308.74073OpenAlexW2070171102WikidataQ58206637 ScholiaQ58206637MaRDI QIDQ2017906
Mehmet Pakdemirli, B. Burak Özhan
Publication date: 23 March 2015
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.048
method of multiple scalesnonlinear vibrationspipe conveying fluidviscoelastic pipeprincipal parametric resonance
Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)
Related Items (5)
Cites Work
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- Nonlinear dynamic response of axially moving, stretched viscoelastic strings
- Non-linear parametric vibration and stability analysis for two dynamic models of axially moving Timoshenko beams
- Vibrations and stability of axially traveling laminated beams
- Application of the differential transformation method to vibration analysis of pipes conveying fluid
- Dynamic response of clamped axially moving beams: integral transform solution
- Non-linear parametric vibration and stability of axially moving visco-elastic Rayleigh beams
- Non-linear vibrations and stability of an axially moving beam with time-dependent velocity
- Non-linear vibration of a traveling tensioned beam
- Reduced-order models of weakly nonlinear spatially continuous systems
- A comparison of two perturbation methods for vibrations of systems with quadratic and cubic nonlinearities
- A general solution procedure for coupled systems with arbitrary internal resonances
- Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models
- Stability of axially accelerating viscoelastic beams: Multi-scale analysis with numerical confirmations
- Classical Vibration Analysis of Axially Moving Continua
- A COMPARISON OF DIFFERENT VERSIONS OF THE METHOD OF MULTIPLE SCALES FOR PARTIAL DIFFERENTIAL EQUATIONS
- Comparison of direct-perturbation methods with discretization-perturbation methods for non-linear vibrations
- DIRECT TREATMENT AND DISCRETIZATIONS OF NON-LINEAR SPATIALLY CONTINUOUS SYSTEMS
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