Layout and size optimization of suspension bridges based on coupled modelling approach and enhanced particle swarm optimization

Abstract This paper presents a computationally efficient optimal design approach for suspension bridges. The proposed method utilizes a coupled suspension-bridge modelling approach, which integrates an analytical form-finding method with the conventional finite element (FE) model to enhance the FE modelling efficiency during the optimization process. This study also employs an enhanced particle swarm optimization (EPSO), which introduces a particle categorization mechanism to handle the constraints instead of the commonly used penalty method, to improve the computational efficiency of the optimization procedure. The numerical investigation examines the feasibility and computational efficiency of the proposed method on the optimization of a three-span suspension bridge with both size and geometric design variables. The results demonstrate that the proposed method successfully overcomes the difficulties in the FE-based suspension bridge optimization, while considering the bridge geometric parameters (the sag-to-span ratio and side-to-central span ratio) as design variables, and improves significantly the computational efficiency of PSO-based methods as used in large-scale and complex structural optimization problems.

[1]  Akhil Upadhyay,et al.  Computationally efficient analysis of cable-stayed bridge for GA-based optimization , 2009, Eng. Appl. Artif. Intell..

[2]  Pengzhen Lu,et al.  Optimization Analysis Model of Self-Anchored Suspension Bridge , 2014 .

[3]  A. A. El Damatty,et al.  Determination of optimum post-tensioning cable forces of cable-stayed bridges , 2012 .

[4]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[5]  Hongping Zhu,et al.  New Method for Shape Finding of Self-Anchored Suspension Bridges with Three-Dimensionally Curved Cables , 2015 .

[6]  Pao-Hsii Wang,et al.  Parametric studies on cable-stayed bridges , 1996 .

[7]  Víctor Yepes,et al.  Hybrid harmony search for sustainable design of post-tensioned concrete box-girder pedestrian bridges , 2015 .

[8]  Luis Simões,et al.  Optimization of cable-stayed bridges with box-girder decks , 2000 .

[9]  Myung-Rag Jung,et al.  Nonlinear analysis methods based on the unstrained element length for determining initial shaping of suspension bridges under dead loads , 2013 .

[10]  Hongping Zhu,et al.  An Iterative Calculation Method for Suspension Bridge's Cable System Based on Exact Catenary Theory , 2013 .

[11]  O. Hasançebi,et al.  Adaptive evolution strategies in structural optimization: Enhancing their computational performance with applications to large-scale structures , 2008 .

[12]  Charles V. Camp,et al.  Multi-class teaching–learning-based optimization for truss design with frequency constraints , 2016 .

[13]  Santiago Hernández,et al.  Optimum design of long-span suspension bridges considering aeroelastic and kinematic constraints , 2009 .

[14]  Manolis Papadrakakis,et al.  A Hybrid Particle Swarm—Gradient Algorithm for Global Structural Optimization , 2010, Comput. Aided Civ. Infrastructure Eng..

[15]  Siti Aminah Osman,et al.  Optimization of Pre-Tensioning Cable Forces in Highly Redundant Cable-Stayed Bridges , 2015 .

[16]  Paolo Lonetti,et al.  Optimum design analysis of hybrid cable-stayed suspension bridges , 2014, Adv. Eng. Softw..

[17]  Luis Simões,et al.  Sizing and geometry optimization of cable-stayed bridges , 1994 .

[18]  Sung-Won Kang,et al.  Optimization of tensioning strategy for asymmetric cable-stayed bridge and its effect on construction process , 2008 .

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

[20]  Luis Simões,et al.  OPTIMIZATION OF CABLE-STAYED BRIDGES WITH THREE-DIMENSIONAL MODELLING , 1997 .

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

[22]  Shaofan Li,et al.  A simplified structural mechanics model for cable-truss footbridges and its implications for preliminary design , 2014 .

[23]  W. Terence O'Brien,et al.  Cable Movements Under Two-Dimensional Loads , 1964 .

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

[25]  Luis Simões,et al.  OPTIMIZATION OF CABLE-STAYED BRIDGES SUBJECTED TO EARTHQUAKES WITH NON-LINEAR BEHAVIOUR , 1999 .

[26]  Q. H. Wu,et al.  A heuristic particle swarm optimizer for optimization of pin connected structures , 2007 .

[27]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[28]  Fernando L. S. Ferreira,et al.  Optimum design of a controlled cable stayed bridge subject to earthquakes , 2011 .

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

[30]  Alberto M. B. Martins,et al.  Cable stretching force optimization of concrete cable-stayed bridges including construction stages and time-dependent effects , 2015 .

[31]  Filippo Gazzola,et al.  Mathematical Models for Suspension Bridges: Nonlinear Structural Instability , 2015 .

[32]  Abdul Rauf Baig,et al.  Opposition based initialization in particle swarm optimization (O-PSO) , 2009, GECCO '09.

[33]  Hongping Zhu,et al.  A specific rod model based efficient analysis and design of hanger installation for self-anchored suspension bridges with 3D curved cables , 2016 .

[34]  Ian F. C. Smith,et al.  Design of tensegrity structures using parametric analysis and stochastic search , 2010, Engineering with Computers.

[35]  Aitor Baldomir,et al.  Probabilistic optimization of the main cable and bridge deck of long-span suspension bridges under flutter constraint , 2015 .

[36]  Saeed Gholizadeh,et al.  Design optimization of tall steel buildings by a modified particle swarm algorithm , 2014 .

[37]  Mahmoud Hassan,et al.  Optimization of stay cables in cable-stayed bridges using finite element, genetic algorithm, and B-spline combined technique , 2013 .

[38]  Ashraf O. Nassef,et al.  Database for the optimum design of semi-fan composite cable-stayed bridges based on genetic algorithms , 2015 .

[39]  Luo Xi-heng.  Numerical Analysis Method for Cable System of Suspension Bridges , 2004 .

[40]  Patrick Murren,et al.  Design-driven harmony search (DDHS) in steel frame optimization , 2014 .

[41]  Alberto M. B. Martins,et al.  Optimum design of concrete cable-stayed bridges , 2016 .

[42]  Hongping Zhu,et al.  Improved Particle Swarm Optimization-Based Form-Finding Method for Suspension Bridge Installation Analysis , 2015 .

[43]  O. Hasançebi,et al.  Optimization of truss bridges within a specified design domain using evolution strategies , 2007 .

[44]  Dorian Janjic,et al.  OPTIMIZATION OF CABLE TENSIONING IN CABLE-STAYED BRIDGES , 2003 .

[45]  Ho-Kyung Kim,et al.  Efficient combination of a TCUD method and an initial force method for determining initial shapes of cable-supported bridges , 2012 .