A Closed-Form Refined Model of the Cables' Nonlinear Response in Cable-Stayed Structures

In this paper a refined second-order model for the analysis of the elastic response of cables in cable-stayed structures is proposed. Starting from the exact catenary theory, the Dischinger-Ernst formulation is rationally deduced and, performing a second order approximation both with respect to the stress variation and the apparent chord-strain one, a refined explicit equivalent constitutive relationship for elastic stays is obtained. Moreover, the geometrical non-linearities induced on the cable by the deformation of the stay-supported structure are taken into account through a second order displacement approach. Accordingly, a closed-form formulation describing nonlinear cable-structure interaction effects is obtained which, unlike the classical secant model, does not need iterative procedures, opening the possibility to develop refined analytical solutions for cable structures. Several numerical examples and benchmarks on different stay configurations are presented, showing the effectiveness and the accuracy of the proposed model.

[1]  Michel Virlogeux.  Recent evolution of cable-stayed bridges , 1999 .

[2]  Ki-Seok Kim,et al.  Analysis of target configurations under dead loads for cable-supported bridges , 2001 .

[3]  George T. Michaltsos,et al.  Preliminary design of cable-stayed bridges for vertical static loads , 2003 .

[4]  Jin Cheng,et al.  Nonlinear aerostatic stability analysis of Jiang Yin suspension bridge , 2002 .

[5]  Giuseppe Vairo,et al.  A quasi-secant continuous model for the analysis of long-span cable-stayed bridges , 2008 .

[6]  A. M. Abdel-Ghaffar,et al.  Modeling the nonlinear seismic behavior of cable-stayed bridges with passive control bearings , 1995 .

[7]  Domenico Bruno,et al.  Nonlinear structural models in cableway transport systems , 1999, Simul. Pract. Theory.

[8]  Domenico Bruno,et al.  Aerodynamic Behavior of Long-Span Cable-Stayed Bridges , 2008 .

[9]  Raid Karoumi,et al.  Some modeling aspects in the nonlinear finite element analysis of cable supported bridges , 1999 .

[10]  H. A. A. Buchholdt,et al.  An Introduction to Cable Roof Structures , 1985 .

[11]  Y. K. Cheung,et al.  On the determination of natural frequencies and mode shapes of cable-stayed bridges , 2001 .

[12]  Christos T. Georgakis,et al.  Cable supported bridges concept and design , 2011 .

[13]  Terence O'Brien,et al.  General Solution of Suspended Cable Problems , 1967 .

[14]  A. M. Goulois,et al.  Analysis of cable structures , 1979 .

[15]  Yeong-Bin Yang,et al.  Vibration reduction for cable-stayed bridges traveled by high-speed trains , 2004 .

[16]  H. B. Jayaraman,et al.  A curved element for the analysis of cable structures , 1981 .

[17]  Domenico Bruno,et al.  Dynamic impact analysis of long span cable-stayed bridges under moving loads , 2008 .

[18]  Domenico Bruno,et al.  VIBRATION ANALYSIS OF CABLE-STAYED BRIDGES , 1994 .

[19]  F. Maceri,et al.  Statical behaviour of long-span cable-stayed bridges , 1985 .

[20]  Y. Fujino,et al.  A NON-LINEAR DYNAMIC MODEL FOR CABLES AND ITS APPLICATION TO A CABLE-STRUCTURE SYSTEM , 1995 .

[21]  Jaroslav Kadlčák.  Statics of suspension cable roofs , 1995 .

[22]  Giuseppe Vairo,et al.  Modelling and Simulation of Long-Span Bridges under Aerodynamic Loads , 2004 .

[23]  Alain H. Peyrot,et al.  Sag‐Tension Calculations Valid for Any Line Geometry , 1990 .

[24]  João Negrão,et al.  Geometrical nonlinearities on the static analysis of highly flexible steel cable-stayed bridges , 2006 .

[25]  Domenico Bruno,et al.  Natural Periods of Long-Span Cable-Stayed Bridges , 1997 .

[26]  Nabil Ben Kahla.  Response of a guyed tower to a guy rupture under no wind pressure , 2000 .

[27]  Yogesh M. Desai,et al.  Simple model for dynamic analysis of cable supported structures , 2001 .

[28]  A. M. Abdel-Ghaffar,et al.  Three-dimensional nonlinear static analysis of cable-stayed bridges , 1990 .

[29]  Gunnar Tibert,et al.  Numerical analyses of cable roof structures , 1999 .

[30]  Seung-Eock Kim,et al.  Analysis of the overall collapse mechanism of cable-stayed bridges with different cable layouts , 2007 .