2014
DOI: 10.1142/s0218127414300249
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Vibration Dynamics of an Inclined Cable Excited Near Its Second Natural Frequency

Abstract: Inclined cables are essential structural elements that are used most prominently in cable stayed bridges. When the bridge deck oscillates due to an external force, such as passing traffic, cable vibrations can arise not only in the plane of excitation but also in the perpendicular plane. This undesirable phenomenon can be modelled as an auto-parametric resonance between the in-plane and out-of-plane modes of vibration of the cable. In this paper we consider a threemode model, capturing the second in-plane, and… Show more

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Cited by 8 publications
(2 citation statements)
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“…In the modeling of cable vibration, Tagata [31] reduces the cable to a massless tensioned string and derives the dimensionless Mathieu equation. On this basis, many scholars have done a lot of research on the parametric vibration of cables [32][33][34][35]. However, in the above studies, the cable is stationary along its axial direction and the cable length is invariable.…”
Section: Introductionmentioning
confidence: 99%
“…In the modeling of cable vibration, Tagata [31] reduces the cable to a massless tensioned string and derives the dimensionless Mathieu equation. On this basis, many scholars have done a lot of research on the parametric vibration of cables [32][33][34][35]. However, in the above studies, the cable is stationary along its axial direction and the cable length is invariable.…”
Section: Introductionmentioning
confidence: 99%
“…By considering how the system's equilibria (or other invariant objects) change under the variation of a parameter of interest, it is possible to build up a global picture of the structure of equilibria that govern the dynamic behaviour. Several examples in the literature have shown the benefits offered by this approach for the analysis of engineering systems: with applications in aerospace [17][18][19][20][21], civil [22] and automotive engineering [23,24], a dynamical systems approach has been shown to provide a useful, complementary tool, when paired with more traditional dynamic simulations.…”
Section: Introductionmentioning
confidence: 99%