Probabilistic optimization of the main cable and bridge deck of long-span suspension bridges under flutter constraint

Kusano, Ibuki; Baldomir, Aitor; Jurado, J. Á.; Hernández, Santiago

doi:10.1016/j.jweia.2015.08.001

Cited by 22 publications

(6 citation statements)

References 15 publications

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“…where, again, the summation appearing in ( 19) is carried out via the direct assembly procedure and the explicit expressions of e f can also be obtained via the direct integration. Now, the statement of the discretized problem is to maximize the buckling load P satisfying Equation (15) and subjected to the volumetric constraint (18).…”

Section:   mentioning

confidence: 99%

“…where i A denote the normalized cross-sectional area at the i th interpolation point contained in the vector A . By multiplying equation ( 23) by T U and then enforcing the condition (15), it leads to:…”

Section: Solution Schemementioning

confidence: 99%

“…A vast number of studies on structural optimization has been recognized in the literature including those related to the development and implementation of techniques to estimate the optimal solutions for various types of structures including trusses [2][3][4][5][6][7][8], frames [9][10][11][12][13][14], and bridges [15][16][17][18]. Among those existing research works, structural shape optimization, which aims mainly to find the shape of structural components that offers the best specified performance under the given constraints, is also one gaining significant attention.…”

Section: Introductionmentioning

confidence: 99%

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Fem-PGD Based Technique for Column Shape Optimization Against Buckling

Prasertsri

Sartbumrung

Suewongprayoon

et al. 2021

AEJ

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This paper presents a simple numerical procedure based upon the projected gradient descent (PGD) and finite element method (FEM) for the shape optimization of laterally restrained columns to attain the maximum elastic buckling load under the specified volumetric constraint. The analysis of the buckling load is achieved via the formulation based on Euler-Bernoulli beam theory, the discretization by the standard finite element technique, and the determination of the least eigenvalue and the corresponding eigenvector via the power method with Rayleigh quotient. In the optimization, the profile of the cross-sectional area of the column is represented by piecewise polynomial interpolation functions. The gradient information and the projection operator required in PGD iterations are obtained explicitly in a closed form. A selected set of results is reported to demonstrate not only the good convergence behavior and accuracy of numerical solutions, but also the capability of the proposed technique to attain the optimal shape of columns for various scenarios.

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Section:   mentioning

confidence: 99%

Section: Solution Schemementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fem-PGD Based Technique for Column Shape Optimization Against Buckling

Prasertsri

Sartbumrung

Suewongprayoon

et al. 2021

AEJ

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“…When the attention is focused on one particular bridge type, size optimization is a common area of research; some works consider also materials as design variable, while few works optimize the structural configuration. In particular, reinforced concrete (RC) portal frame bridges [9][10][11], cable stayed bridges [12][13][14] and suspension bridges [15][16][17] have been object of many researches. Concerning beam bridges, the main object of study has been the deck.…”

Section: Generalmentioning

confidence: 99%

Topological and Size Optimization of RC Beam Bridges: An Automated Design Approach for Cost Effective and Environmental Friendly Solutions

Chalouhi

Pacoste

Karoumi

2019

Nordic Concrete Research

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This work presents a procedure for the automated design and optimization of reinforced concrete beam bridges. The aim is to find solutions that minimize the investment cost and the environmental impact of the bridge. The complete structure is optimized including: number of spans, pier locations, pier-deck connections and deck dimensions. A detailed design of the deck reinforcement is included as well. Furthermore, constructability is considered and quantified within the investment cost to avoid a merely theoretical optimization. Genetic Algorithm (GA) and Pattern Search (PS) optimization algorithms are used. To reduce the computational time and make the procedure more user-friendly, a memory system is integrated and a modified version of GA is developed. In this paper, the proposed procedure is applied to re-design an existing bridge originally designed according to Eurocodes by an experienced engineer in 2013. Savings of 10-15% for both investment cost and environmental impact have been obtained. Finally, the proposed procedure has been applied to several alternatives with different total bridge lengths to suggest the optimal number of spans for a given total bridge length.

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“…This discipline requires high computational effort since it combines DO and RA and has been applied to several multidisciplinary areas as automotive (Sinha (2007), Youn et al (2004) or Cid Montoya et al (2015)), naval (Leheta and Mansour (1997)) or civil engineering (Karadeniz et al (2009) or Kusano et al (2015)). Talking about RBDO applied to aeronautical stiffened panels, Hernandez et al (2013) draws a comparison of three RBDO methods in a metallic panel under buckling constraints, Qu and Haftka (2003) performs RBDO using Monte Carlo Simulations (MCS) and a Design Response Surface (DRS) in order to compute the reliability constraints while Díaz et al (2016) compares stochastic expansions with moment-based methods in the RA and genetic with gradient-based algorithms in the DO phase.…”

Section: Introductionmentioning

confidence: 99%

Reliability-based design optimization of composite stiffened panels in post-buckling regime

López

Bacarreza

Baldomir

et al. 2016

Struct Multidisc Optim

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This paper focuses on Deterministic and Reliability Based Design Optimization (DO and RBDO) of composite stiffened panels considering post-buckling regime and progressive failure analysis. The ultimate load that a post-buckled panel can hold is to be maximised by changing the stacking sequence of both skin and stringers composite layups. The RBDO problem looks for a design that collapses beyond the shortening of failure obtained in the DO phase with a target reliability while considering uncertainty in the elastic properties of the composite material. The RBDO algorithm proposed is decoupled and hence separates the Reliability Analysis (RA) from the deterministic optimization. The main code to drive both the DO and RBDO approaches is written in MATLAB and employs Genetic Algorithms (GA) to solve the DO loops because discrete design variables and highly nonlinear response functions are expected. The code is linked with Abaqus to perform parallel explicit nonlinear finite element analyses in order to obtain the structural responses at each generation. The RA is solved through an inverse Most Probable failure Point (MPP) search algorithm that benefits from a Poly-

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Probabilistic optimization of the main cable and bridge deck of long-span suspension bridges under flutter constraint

Cited by 22 publications

References 15 publications

Fem-PGD Based Technique for Column Shape Optimization Against Buckling

Fem-PGD Based Technique for Column Shape Optimization Against Buckling

Topological and Size Optimization of RC Beam Bridges: An Automated Design Approach for Cost Effective and Environmental Friendly Solutions

Reliability-based design optimization of composite stiffened panels in post-buckling regime

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