Non-linear interactions in the flexible multi-body dynamics of cable-supported bridge cross-sections

Lepidi, Marco; Gattulli, Vincenzo

doi:10.1016/j.ijnonlinmec.2015.09.009

Cited by 41 publications

(8 citation statements)

References 39 publications

(64 reference statements)

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“…e maximum amplitude of the longitudinal vibration in the forward and reverse directions at each excitation frequency is − 55.1 and 50.5 m/s 2 , respectively. [22,24]. e superharmonic resonance [38][39][40] of the wire rope is stimulated when the wire rope is excited near 43.3 Hz.…”

Section: Different Excitation Frequenciesmentioning

confidence: 99%

“…Many scholars have performed rich research on the rope dynamic characteristics under static or quasi-static tension conditions such as bridges and buildings. Lepidi and Gattulli [22,23] noted that a relevant contribution of higher modes might arise as a result of nonlinear coupling phenomena. e modal interactions in both planar and spatial responses to the periodic in-plane and out-of-plane cable loads were studied using analytical and finite element models.…”

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confidence: 99%

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Experimental Study on the Nonlinear Dynamic Characteristics of Wire Rope under Periodic Excitation in a Friction Hoist

Guo

Zhang

et al. 2020

Shock and Vibration

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e nonlinear dynamic responses of a wire rope under periodic excitation in a friction hoisting system are investigated.Longitudinal excitation experiments of different periodic excitation frequencies are performed. e nonlinear dynamic characteristics of the rope, including transverse, longitudinal, and coupled vibrations, are discussed with time-frequency analysis. e results show that the transverse vibration is a forced vibration following the excitation, while the longitudinal vibration shows a complex, random vibration state. e vibration amplitude and intensity deviate significantly from their linear trend (superharmonic resonance) at some excitation frequencies, and this deviation indicates the typical nonlinear multiorder natural frequency characteristics. e lifting motion can lead to additional corrugated high-order harmonics and cause a fundamental wave distortion of low-frequency excitation. Experimental evidence for the coupling characteristics of the transverse-longitudinal rope vibration in the lifting process is found.

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Section: Different Excitation Frequenciesmentioning

confidence: 99%

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confidence: 99%

Experimental Study on the Nonlinear Dynamic Characteristics of Wire Rope under Periodic Excitation in a Friction Hoist

Guo

Zhang

et al. 2020

Shock and Vibration

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“…It was later extended into a 4‐DOFs model to study the vertical motion of the supporting main cables. A multi‐body model for long‐span bridges was also proposed for the study of its linear and nonlinear dynamic properties 9,10 . The 4‐DOFs bridge sectional model accounts for both the transverse motion of the stay cables (or hangers) and the vertical‐torsional motion of the bridge deck.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear characteristics of suspension bridges with inclined hangers under harmonic excitations and countermeasures for vibration control

Wang

Hui

Law

et al. 2021

Structural Contr & Hlth

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Summary Spatially arranged cable systems and inclined hangers are becoming popular in shallow pedestrian suspension bridges to improve the lateral stiffness. However, the vertical motions of bridge decks under vortex shedding or pedestrian loadings may still cause annoying vibrations which may induce primary and internal resonances of the deck‐cable systems. This study investigates the primary and internal resonances of the deck‐cable systems with inclined hangers when the bridge deck suffers from vertical harmonic motion. A six‐degrees‐of‐freedom (6‐DOFs) mathematical model is adopted to simulate the linear and nonlinear dynamics of a cross‐section of the bridge deck. Nonlinear behaviors of the structural system are systematically studied for the conditions under which internal resonance between two lower modes of the deck will occur. The analysis is conducted with the incremental harmonic balance method. The deck heaving mode in primary resonance does not exhibit distinct nonlinear property with different force magnitude, but notable nonlinearity is observed in the amplitude–frequency curve of the deck torsional mode. The nonlinear behavior of the structural system during the 1:2 internal resonances of the first two modes is also studied. Knowledge gained from this study may help in the vibration control of this type of bridge structures.

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“…The structural behaviour of such bridges, however, is complicated due to the movement (horizontal displacement) of intermediate supports under traffic load [10,11]. An ideally flexible ribbon is also just a theoretical assumption [12,13]. To ensure the adequacy of analytical predictions, these nonlinear effects must be included into mathematical models [9,10,14].…”

Section: Introductionmentioning

confidence: 99%

Experimental and Analytical Investigation of Deformations and Stress Distribution in Steel Bands of a Two‐Span Stress‐Ribbon Pedestrian Bridge

Sandovič¹,

Juozapaitis²,

Gribniak³

2017

Mathematical Problems in Engineering

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The article is dedicated to the analysis of problems related to design of pedestrian bridges with flexible ribbon bands made of steel. The study is based on test results of a bridge model that has two spans (each with a length of five meters). A simplified analytical technique has been proposed for predicting vertical deformations of the bridge structure subjected to symmetrical or asymmetrical loading patterns. The technique also allows assessing the tension forces in the ribbons, which are very important for design of such structures. The analysis reveals the importance of the flexural rigidity of the ribbons that might cause significant redistribution of stresses within the steel bands.

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Non-linear interactions in the flexible multi-body dynamics of cable-supported bridge cross-sections

Cited by 41 publications

References 39 publications

Experimental Study on the Nonlinear Dynamic Characteristics of Wire Rope under Periodic Excitation in a Friction Hoist

Experimental Study on the Nonlinear Dynamic Characteristics of Wire Rope under Periodic Excitation in a Friction Hoist

Nonlinear characteristics of suspension bridges with inclined hangers under harmonic excitations and countermeasures for vibration control

Experimental and Analytical Investigation of Deformations and Stress Distribution in Steel Bands of a Two‐Span Stress‐Ribbon Pedestrian Bridge

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