A continuous vibration analysis model for cables with sag and bending stiffness

Ricciardi, Giuseppe; Saitta, Fernando

doi:10.1016/j.engstruct.2007.08.008

Cited by 96 publications

(62 citation statements)

References 9 publications

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“…(15) is related to the tangent versor to the cable with reference to configuration II C , according to Eqs. (3), (4) and (6). Such a configuration, i.e.…”

Section: Equilibrium Under Self Weight and Mean Windmentioning

confidence: 99%

“…While cable elasticity has been shown to be essential in the dynamic of low-sagged cables, the along cable inertia forces are usually neglected by statically condensing the longitudinal equation of motion [4]- [6]. However, the noncondensed approach is more appropriate for describing motion of inclined cables, which exhibit peculiar dynamic behaviour as testified by the veering in frequency curves and the associated hybrid mode shapes [7].…”

Section: Introductionmentioning

confidence: 99%

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Vibrations of inclined cables under skew wind

Impollonia

Ricciardi

Saitta

2011

International Journal of Non-Linear Mechanics

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A non-linear finite element model of inclined cables, i.e. cables with non-leveled supports, in the large displacement and deformation fields is proposed for computing the dynamic response to wind loads which blow in arbitrary direction. The initial equilibrium, assumed as the static configuration under self weight and mean wind component, is defined by a continuous approach, following an iterative procedure which starts from the configuration under self weight only. The proposed formulation, which accounts for longitudinal inertia forces, allows to spot the circumstances when the simplified small-sag approach, adopting longitudinal mode condensation, becomes too crude. Numerical simulations have been performed empoying the Proper Orthogonal Decomposition to lower the computational effort.

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“…(15) is related to the tangent versor to the cable with reference to configuration II C , according to Eqs. (3), (4) and (6). Such a configuration, i.e.…”

Section: Equilibrium Under Self Weight and Mean Windmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibrations of inclined cables under skew wind

Impollonia

Ricciardi

Saitta

2011

International Journal of Non-Linear Mechanics

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“…Although the structure characteristics between the strands in suspension bridges and the cables in cable-stayed bridges are similar, a detailed investigation showed that the former was shorter and stiffer, whereas the latter was longer and more flexible; references may be valuable for the latter but may not be directly used by the former. In addition, a notable detail is that accurate identification can be obtained by considering the effect of bending rigidity and boundary conditions (Ricciardi and Saitta, 2008;Zuo and Li, 2011). Strand tension control in suspension bridges needs further investigation.…”

Section: Introductionmentioning

confidence: 99%

“…To alleviate this problem, the indirect method was developed using vibration frequency of the strand, which is widely used in practice. However, the indirect method is easily affected by boundary conditions and bending rigidity (Ni, 2002;Riceiardi and Saitta, 2008;Liu and Liu, 2010;Choi and Park, 2011;Li et al, 2011). Many studies were conducted for cable tension control of cable-stayed bridges (Loh and Chang, 2007;Hua et al, 2009;Ye et al, 2012), and a few conclusions could be taken as references for the strand tension control in the anchor span of suspension bridges.…”

Section: Introductionmentioning

confidence: 99%

Strand Tension Control in Anchor Span for Suspension Bridge Using Dynamic Balance Theory

Wang

Zhang

Liu

et al. 2016

Lat. Am. j. solids struct.

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Strand tension control is essential in suspension bridge safety. However, few quantitative studies have examined the bending rigidity and boundary condition behavior of strands in the anchor span of suspension bridges because of their special structure and complex configuration. In this paper, a new calculation method for strand tension is explored by using dynamic balance theory to determine the effect of bending rigidity and boundary conditions. The accuracy and effectiveness of the proposed method are tested and confirmed with verification examples and application on Nanxi Yangtze Suspension Bridge in China. The results indicated that only low-order frequency calculation could be used to calculate the strand tension without considering the effect of bending rigidity to ensure control accuracy. The influence of bending rigidity on the control precision is related to the tension and the length of the strands, which is significantly determined by the specific value between the stress rigidity and the bending rigidity. The uncertain boundary conditions of the anchor span cable, which are fixed between consolidated and hinged, also have a major effect on the control accuracy. To improve the accuracy of strand tension control, the least squares method is proposed during the tension construction control of the anchor span. This approach can significantly improve the accuracy of the tension control of the main cable strand. Some recommendations for future bridge analysis are provided based on the results of this study.

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“…There twist, but not bending, was accounted for, and the influence of the initial curvature on the torsion strain was ignored. Recently, the free dynamics and the modal properties of cables with bending stiffness have been analyzed in [18][19][20], while the bending effect on the damping of cables equipped with TMD has been studied in [21]. Complete nonlinear models were proposed in [22,23]; these, however, lead to very complicated equations and suffer of some numerical problems related to the existence of boundary layers, due to the smallness of the flexural terms (nearly singular equations).…”

mentioning

confidence: 99%