Reliability based design optimization for bridge girder shape and plate thicknesses of long-span suspension bridges considering aeroelastic constraint

Kusano, Ibuki; Montoya, Miguel Cid; Baldomir, Aitor; Nieto, Francisco Javier Fernández; Jurado, J. Á.; Hernández, Santiago

doi:10.1016/j.jweia.2020.104176

Cited by 28 publications

(8 citation statements)

References 47 publications

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“…in which c k = a k + ib k , a k , and b k and are real coefficients to be determined [34]. Introducing Equation (18) into Equation (11), the surface function of SBG is then determined as:…”

Section: Complex Potential In the Fluid Domainmentioning

confidence: 99%

“…Through flutter derivatives and the motion state of the main girder, the aerodynamic drag force, lift force, and pitching moment can be determined. The flutter derivatives can be obtained by measuring the aerodynamic force at a limited number of wind speeds via the wind tunnel test [14][15][16] and a computational fluid dynamics (CFD) study [17][18][19][20]. The classical Scanlan model is linearized.…”

Section: Introductionmentioning

confidence: 99%

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An Analytical Solution for Unsteady Aerodynamic Forces on Streamlined Box Girders with Coupled Vibration

Zhang

Jiang

et al. 2023

Sustainability

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This paper is a contribution to analyzing the aerodynamic forces on a streamlined box girder (SBG) with coupled vibration in a potential flow. The key enabling step was to assume that the normal velocity of the airflow at an arbitrary point on the surface of the SBG was equal to the normal velocity of the surface motion. The aerodynamic drag force, lift force, and pitching moment were expressed as functions of the motion state of the SBG and the SBG’s shape-related parameters. To investigate the applicability of this force model, the analytical solution at various angles of attack was compared with a numerical simulation in a viscous flow. The results imply that the amplitude of the analytical lift force and pitching moment agree well with the numerical results under the angles of attack of 0° and ±3°. Furthermore, the analytical drag force effectively predicts the second-order phenomenon resulting from the multiplication of the vertical and torsional vibration velocities. As a consequence, the present analytical solution provides an effective method for analyzing the aerodynamic forces acting on SBGs with coupled vibration.

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“…in which c k = a k + ib k , a k , and b k and are real coefficients to be determined [34]. Introducing Equation (18) into Equation (11), the surface function of SBG is then determined as:…”

Section: Complex Potential In the Fluid Domainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Analytical Solution for Unsteady Aerodynamic Forces on Streamlined Box Girders with Coupled Vibration

Zhang

Jiang

et al. 2023

Sustainability

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“…However, it cannot obtain the expression of the limit state function through the finite element model calculation, so Cheng (2010) used the neural network method to fit the limit state function of the reliability analysis of the suspension bridge. Kusano et al also (Kusano et al, 2020) optimized the bridge girder shape and plate thicknesses by estimating the aerodynamic response based on surrogate models. Han et al (2020) presented an efficient framework for the fatigue reliability assessment of suspension bridges under the combined action of random traffic and wind loads.…”

Section: Introductionmentioning

confidence: 99%

Reliability-based assessment of reasonable mid-tower lateral stiffness for a three-tower suspension bridge

Chen¹,

Zhang²,

Liu

2023

Advances in Structural Engineering

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A reasonable lateral stiffness of the bridge mid-tower should ensure that the deflection-to-span ratio and sliding resistance coefficient satisfy the design requirements. However, if this stiffness is determined by the deterministic parametric analysis, the above two verification indices may exceed the threshold due to the randomness of the high-dimensional structure and load parameters. To satisfy the structural safety requirements of a three-tower suspension bridge during its design life, this study proposes a method to quickly and accurately evaluate the reliability indices of the deflection-to-span ratio and sliding resistance coefficient of the three-tower suspension bridge. Based on advanced first-order second-moment, the proposed method transforms the reliability problem into an optimization problem with constraint functions, uses the single-cable theory to establish the limit state function, and combines the manta ray foraging optimization algorithm and penalty function to derive the reliability index. The effectiveness of the proposed method is verified by performing Latin hypercube sampling for an examplary three-tower suspension bridge. These results prove that the new technique avoids tedious finite element simulation and surrogate model fitting, ensuring the accuracy of the reliability index while improving the calculation efficiency. The study further identifies critical structural parameters by parametric analysis. Based on the inverse reliability, the dimensionless stiffness range for the mid-tower with the randomness of the parameters is derived, and the preliminary design method of the lateral stiffness of the mid-tower based on the reliability is established.

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“…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%

“…summations appearing in(16) and(17) imply the direct assembly of element contribution via the standard procedure. It is worth noting that the matrices e m , ˆe k , and e ij k can be readily obtained in a closed form via the direct integration.…”

mentioning

confidence: 99%

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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Reliability based design optimization for bridge girder shape and plate thicknesses of long-span suspension bridges considering aeroelastic constraint

Cited by 28 publications

References 47 publications

An Analytical Solution for Unsteady Aerodynamic Forces on Streamlined Box Girders with Coupled Vibration

An Analytical Solution for Unsteady Aerodynamic Forces on Streamlined Box Girders with Coupled Vibration

Reliability-based assessment of reasonable mid-tower lateral stiffness for a three-tower suspension bridge

Fem-PGD Based Technique for Column Shape Optimization Against Buckling

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