Simplified Numerical Experiments on the Effect of Hysteretic Damping of Cross-Ties on Cable Oscillations

Papadopoulos, Pantelis M.; Diamantopoulos, Andreas P.; Lazaridis, P.; Xenidis, H.; Karayannis, C.; Kyrgidis, S.

doi:10.4203/ccp.88.270

“…As a consequence, the spatial discretization presents difficulties in describing geometric nonlinearities [7][8][9]. Here, a truss model is proposed as an alternative to the usual finite elements [10][11][12]. Thanks to the very simple geometry of a truss, the equilibrium equations can be easily written and the global stiffness matrix can be easily updated with respect to the deformed truss, within each step of static analysis, so that to take into account the strong geometric nonlinearities.…”

Section: Introductionmentioning

confidence: 99%

Simple Nonlinear Static Analysis Using Truss Models for Modeling Snap-through of Thin Shallow Arches

Xenidis

¹

,

Morfidis

²

,

Papadopoulos

³

2012

AMM

0

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In this paper, a truss model is used for the geometrically nonlinear static analysis of a thin shallow arch subject to snap-through. Thanks to the very simple geometry of a truss, the equilibrium conditions can be easily written and the global stiffness matrix can be easily updated with respect to the deformed structure, within each step of the analysis. A very coarse discretization is applied. For the geometrically nonlinear static analysis, a short computer program has been developed by displacement control of a plane truss model of a structure. This very short, fully documented computer program is applied on the geometrically nonlinear static analysis of a specific thin shallow arch subject to snap-through.

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“…Based on the proposed algorithm of previous Section 2 7,. a simple and very short computer program has been developed, with only 115 Fortran instructions, consisting of the MAIN program (79 instructions) which performs the algorithm of step-by-step dynamic analysis, and of three subroutines: (1) Subroutine EVAL (17 instructions) which evaluates the present strain and stress state of the cable structure under consideration, (2) subroutine SE (Fifth application: couple of interconnected cables subject to wind.…”

mentioning

confidence: 99%

Simple Program to Investigate Hysteresis Damping Effect of Cross-Ties on Cables Vibration of Cable-Stayed Bridges

Papadopoulos

¹

,

Diamantopoulos

²

,

Xenidis

³

et al. 2012

Advances in Civil Engineering

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A short computer program, fully documented, is presented, for the step-by-step dynamic analysis of isolated cables or couples of parallel cables of a cable-stayed bridge, connected to each other and possibly with the deck of the bridge, by very thin pretensioned wires (cross-ties) and subjected to variation of their axial forces due to traffic or to successive pulses of a wind drag force. A simplified SDOF model, approximating the fundamental vibration mode, is adopted for every individual cable. The geometric nonlinearity of the cables is taken into account by their geometric stiffness, whereas the material nonlinearities of the cross-ties include compressive loosening, tensile yielding, and hysteresis stress-strain loops. Seven numerical experiments are performed. Based on them, it is observed that if two interconnected parallel cables have different dynamic characteristics, for example different lengths, thus different masses, weights, and geometric stiffnesses, too, or if one of them has a small additional mass, then a single pretensioned very thin wire, connecting them to each other and possibly with the deck of the bridge, proves effective in suppressing, by its hysteresis damping, the vibrations of the cables.

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“…Here, a simplified analytical method is proposed [7], in order to investigate the hysteresis damping effect of crossties, where, for every individual cable, an SDOF model is adopted, approximating its fundamental vibration mode. The geometric nonlinearity of the cables is taken into account by their geometric stiffness.…”

Section: Introductionmentioning

confidence: 99%

Simple Program to Investigate Hysteresis Damping Effect of Cross-Ties on Cables Vibration of Cable-Stayed Bridges

Papadopoulos

¹

,

Diamantopoulos

²

,

Xenidis

³

et al. 2012

AMR

1

0

View full text Add to dashboard Cite

A short computer program, fully documented, is presented, for the step-by-step dynamic analysis of isolated cables or couples of parallel cables of a cable-stayed bridge, connected to each other and possibly with the deck of the bridge, by very thin pretensioned wires (cross-ties) and subjected to variation of their axial forces due to traffic or to successive pulses of a wind drag force. A simplified SDOF model, approximating the fundamental vibration mode, is adopted for every individual cable. The geometric nonlinearity of the cables is taken into account by their geometric stiffness, whereas the material nonlinearities of the cross-ties include compressive loosening, tensile yielding, and hysteresis stress-strain loops. Seven numerical experiments are performed. Based on them, it is observed that if two interconnected parallel cables have different dynamic characteristics, for example different lengths, thus different masses, weights, and geometric stiffnesses, too, or if one of them has a small additional mass, then a single pretensioned very thin wire, connecting them to each other and possibly with the deck of the bridge, proves effective in suppressing, by its hysteresis damping, the vibrations of the cables.

show abstract

Simplified Numerical Experiments on the Effect of Hysteretic Damping of Cross-Ties on Cable Oscillations

Cited by 3 publications

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Simple Nonlinear Static Analysis Using Truss Models for Modeling Snap-through of Thin Shallow Arches

Simple Nonlinear Static Analysis Using Truss Models for Modeling Snap-through of Thin Shallow Arches

Simple Program to Investigate Hysteresis Damping Effect of Cross-Ties on Cables Vibration of Cable-Stayed Bridges

Simple Program to Investigate Hysteresis Damping Effect of Cross-Ties on Cables Vibration of Cable-Stayed Bridges

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