Dynamic Modelling and Vibration Analysis of a Flexible Cable-Stayed Beam Structure

Fung, Rong‐Fong; Lu, Lyan Ywan; Huang, Shyh‐Chin

doi:10.1006/jsvi.2001.4123

Cited by 21 publications

(6 citation statements)

References 10 publications

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“…In this respect, a number of low-dimensional analytical models have been proposed to parametrically investigate a single or a few specific phenomena. In particular, different monodimensional continuum models have been formulated to describe paradigmatic simple systems, typically composed of a non-linear Irvine cable joined with a linear simplysupported beam or cantilever [13][14][15][16][17]. The latest enrichments of these models include up to four cables sustaining a multi-span beam deck [18].…”

Section: Introductionmentioning

confidence: 99%

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

Lepidi

Gattulli

2016

International Journal of Non-Linear Mechanics

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Section: Introductionmentioning

confidence: 99%

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

Lepidi

Gattulli

2016

International Journal of Non-Linear Mechanics

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“…A suitable configuration of the pre-tensioning force in the cable system can be considered an important issue since the internal force distribution, emerging from the interaction with mast, significantly affects the structural dynamic behavior of the tensile structure [2][3][4][5]. The study of the structural optimization of these systems has recently received attention by the researches.…”

Section: Introductionmentioning

confidence: 99%

Modeling Non-Linearity on Cable Stayed Masts of Tensile Fabric Structures

Rizzo¹,

Viskovic²

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Tensile membrane structures are part of a unique technology that gives designers the capability to experiment new forms and new solutions to conventional design problems. These structures are extremely efficient for long span application and allows considerable savings in the foundations and supporting structure costs. Cable stayed masts are integral part of this structure typology and consists of a inclined elements supported by several layers of pre-tensioned cables. Generally their dynamic loading is not a concern in the design of tensile structures, nevertheless in case of massive shafts, their dynamics can play a fundamental role for global behaviour of the structure. Therefore pre-tensioning force on supporting cables system is an important issue since the internal force distribution, significantly affects their structural dynamic behaviour. A non-linear cable model, combined with the taut-cable theory has been employed to simulate the non-linearity conditions in the stays and cables, by using a restoring-force equivalent spring model to replicate the behaviour of each cable. In the present paper a simplified based displacement technique is utilized to examine the non-linear dynamics of the system. The proposed approach, based on energetic method Equivalent Linearization method (ELM), shows a robust simplified technique capable to linearize the non-linear system, taking into account of slackening effects of pre-tensioned stays. It is concluded that performance coefficient and linearized frequency, may possibly be used as useful indicators for designing pre-tensioned cable stayed masts where a suitable selection of the initial pre-tensioning force can effectively improve dynamic performance of the system.

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“…Gattulli et al [3,4] studied the nonlinear interaction between beam and cable dynamics in a cable-stayed bridge system and verified the results by both experimental and finite element models. Hamilton's principle was utilized to derive the equations of motion of a cablestayed beam structure, and finite element techniques were used to analyze the effect of the tension and the length of the cable [5]. It was found that the cable tension is relative to the cable length, which is a function of the longitudinal and transverse displacements of the cable.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear study of the dynamic behavior of a string-beam coupled system under combined excitations

et al. 2011

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In this paper, the nonlinear dynamic behavior of a string-beam coupled system subjected to external, parametric and tuned excitations is presented. The governing equations of motion are obtained for the nonlinear transverse vibrations of the string-beam coupled system which are described by a set of ordinary differential equations with two degrees of freedom. The case of 1:1 internal resonance between the modes of the beam and string, and the primary and combined resonance for the beam is considered. The method of multiple scales is utilized to analyze the nonlinear responses of the string-beam coupled system and obtain approximate solutions up to and including the second-order approximations. All resonance cases are extracted and investigated. Stability of the system is studied using frequency response equations and the phase-plane method. Numerical solutions are carried out and the results are presented graphically and discussed. The effects of the different parameters on both response and stability of the system are investigated. The reported results are compared to the available published work.

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Dynamic Modelling and Vibration Analysis of a Flexible Cable-Stayed Beam Structure

Cited by 21 publications

References 10 publications

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

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

Modeling Non-Linearity on Cable Stayed Masts of Tensile Fabric Structures

Nonlinear study of the dynamic behavior of a string-beam coupled system under combined excitations

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