Vibration Dynamics of an Inclined Cable Excited Near Its Second Natural Frequency
DOI10.1142/S0218127414300249zbMath1301.34068OpenAlexW1992957391MaRDI QIDQ2932611
Vassil Vassilev Tzanov, Bernd Krauskopf, Simon A. Neild
Publication date: 3 December 2014
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127414300249
parametric excitationbifurcation analysiscable dynamicsequilibrium surfacesmodal equationsquasi-periodic and chaotic cable motion
Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Stability of solutions to ordinary differential equations (34D20) Averaging method for ordinary differential equations (34C29) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Parametric resonances for nonlinear problems in mechanics (70K28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Cites Work
- Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. I: Theoretical formulation and model validation
- Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. II: Internal resonance activation, reduced-order models and nonlinear normal modes
- One-to-two global-local interaction in a cable-stayed beam observed through analytical, finite element and experimental models
- Nonlinear vibration and control. For flexible and adaptive structures.
- Elements of applied bifurcation theory.
- Nonlinear oscillations of cables under harmonic loading using analytical and finite element models.
- Multiple resonances in suspended cables: direct versus reduced-order models
- Amplitude modulated and chaotic dynamics in resonant motion of strings
- On the amplitude dynamics and crisis in resonant motion of stretched strings
- Non-linear, non-planar and non-periodic vibrations of a string
- On Kinetic Response of Cables of Cable-Stayed Bridges Due to Combined Parametric and Forced Excitation
- Vibration Amplitudes Caused by Parametric Excitation of Cable Stayed Structures
- Linear and Nonlinear Structural Mechanics
- Non-Linear vibration of an elastic string
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
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