On Kinetic Response of Cables of Cable-Stayed Bridges Due to Combined Parametric and Forced Excitation

Uhrig, Richard

doi:10.1006/jsvi.1993.1252

Cited by 17 publications

(7 citation statements)

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“…In the past decades, many studies have been carried out to explore the dynamics of cable. Various vibration problems, including free vibration (Irvine and Caughey, 1974;Irvine, 1981;Luongo et al, 1984), forced vibration (Irvine and Griffin, 1976;Geschwindner and West, 1980;Triantafyllou, 1984;Ni et al, 2004) and resonance subjected to external/ parametric excitation (Uhrig, 1993;Cai and Chen, 1994), have been studied. Simultaneously, many methods, for example, the finite element method (Gambhir and Batchelor, 1978), finite difference method (Lacarbonara and Pacitti, 2008), perturbation method (Al-Noury and Ali, 1985), numerical method (Luongo et al, 2008) and experimental method (Benedettini, 1997), have been developed to investigate the nonlinear dynamics of cable.…”

Section: Introductionmentioning

confidence: 99%

Linear and nonlinear dynamics of suspended cable considering bending stiffness

Kang

Zhao

Zhu

2013

Journal of Vibration and Control

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This paper reports a systematic investigation on the linear and nonlinear dynamics of a suspended cable, taking bending stiffness into account. Firstly, the linear dynamics features, for example, eigen frequencies and modes for in-plane and out-of-plane motions, are formulated. Secondly, parametrical studies are conducted to explore the effect of bending stiffness on the natural frequencies and mode shapes of the symmetrical/antisymmetrical in-plane and out-of-plane modes. Then, the three-to-one internal resonance between the first- and third-order in-plane symmetrical modes is analyzed by applying directly the method of multiple scales dealing with the nonlinear partial differential equation and boundary conditions. Finally, the frequency-response curves and force-response curves are obtained through solving the modulation equations using the Newton–Raphson method and the pseudo-arclength scheme. The results show that the bending stiffness plays a considerable role in changing the natural frequencies and mode shapes, shifting the conditions for the occurring of nonlinear interaction, saddle-node bifurcation and Hopf bifurcation of suspended cables.

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Section: Introductionmentioning

confidence: 99%

Linear and nonlinear dynamics of suspended cable considering bending stiffness

Kang

Zhao

Zhu

2013

Journal of Vibration and Control

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“…Parametric vibrations are serious hindrances for stay cables, and analyzing this aspect has drawn considerable attention [ 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ]. Three steel and three CFRP cables were used to compare the differences in parametric vibration characteristics ( Table 5 ).…”

Section: Dynamic Characteristics Of Cfrp Stay Cablesmentioning

confidence: 99%

Static and Dynamic Characteristics of a Long-Span Cable-Stayed Bridge with CFRP Cables

Xie

Shen

2014

Materials

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In this study, the scope of CFRP cables in cable-stayed bridges is studied by establishing a numerical model of a 1400-m span of the same. The mechanical properties and characteristics of CFRP stay cables and of a cable-stayed bridge with CFRP cables are here subjected to comprehensive analysis. The anomalies in the damping properties of free vibration, nonlinear parametric vibration and wind fluctuating vibration between steel cables and CFRP cables are determined. The structural stiffness, wind resistance and traffic vibration of the cable-stayed bridge with CFRP cables are also analyzed. It was found that the static performances of a cable-stayed bridge with CFRP cables and steel cables are basically the same. The natural frequencies of CFRP cables do not coincide with the major natural frequencies of the cable-stayed bridge, so the likelihood of CFRP cable-bridge coupling vibration is minuscule. For CFRP cables, the response amplitudes of both parametric vibration and wind fluctuating vibration are smaller than those of steel cables. It can be concluded from the research that the use of CFRP cables does not change the dynamic characteristics of the vehicle-bridge coupling vibration. Therefore, they can be used in long-span cable-stayed bridges with an excellent mechanical performance.

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“…Analysis of parametric excitation of cables has often been based on the Mathieu-Hill equation for a single mode (Caetano, 2007;Lilien and Pinto da Costa, 1994;Nayfeh and Mook, 1979;Tagata, 1977;Uhrig, 1993) neglecting non-linear coupling between modes. On this basis, Lilien and Pinto da Costa (1994) provide the following expression for the minimum axial support amplitude required to cause parametric excitation in the first mode…”

Section: Parametric Excitationmentioning

confidence: 99%

Dynamic excitation of cables by deck and/or tower motion

Macdonald

Dietz

Neild

2010

Proceedings of the Institution of Civil Engineers - Bridge Engi

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Large-amplitude cable vibrations have been observed on many major cable-stayed bridges. One possible source of excitation is movement of the deck and/or tower. Of particular concern is parametric excitation, whereby small deck/tower motion at one frequency can cause large cable motion at half the frequency under certain conditions. More commonly, deck/tower motion causes direct excitation of the cable at the same frequency in the same plane. Since cables have low damping, the response amplitudes can be large and geometric non-linearities can become important. Current design guidelines treat the axial and transverse components of end motion separately, but for an inclined cable subject to vertical deck motion at the lower anchorage and/or in-plane horizontal motion at the upper anchorage, both components occur simultaneously, modifying the behaviour considerably. This paper gives simplified results of non-linear mathematical modelling of inclined cable dynamics, with experimental validation, with the aim of providing more reliable guidelines for use in design. The proposed guidelines are summarised an appendix.

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On Kinetic Response of Cables of Cable-Stayed Bridges Due to Combined Parametric and Forced Excitation

Cited by 17 publications

References 0 publications

Linear and nonlinear dynamics of suspended cable considering bending stiffness

Linear and nonlinear dynamics of suspended cable considering bending stiffness

Static and Dynamic Characteristics of a Long-Span Cable-Stayed Bridge with CFRP Cables

Dynamic excitation of cables by deck and/or tower motion

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