Optimal blank design based on finite element method for blades of large Francis turbines

Feng, Zhengkun; Champliaud, Henri; Sabourin, Michel; Morin, Sebastien

doi:10.1016/j.simpat.2013.04.004

Cited by 9 publications

(6 citation statements)

References 22 publications

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“…Edge Deviations Location (mm) Location (mm) 2 illustrates that the measured deviations are below the required values. It should be noted that the predicted values generally follow the measured ones, with few exceptions (e.g., surface points 3,5,6,12), where the measured deviation is greater than the predicted one. In both cases, however, the improvement in the product geometry is not as large as predicted by the optimization procedure and corresponding computer simulations.…”

Section: Surface Deviationsmentioning

confidence: 57%

“…While FEM simulations serve primarily as a tool for investigating the feasibility of a forming process in the sense of avoiding sheet metal defects [4], they can also be employed as a part of the forming tool, blank shape [5], or blank thickness optimization procedures with the aim of achieving proper geometrical acceptability of the product. This enables the minimization of tool production costs through reducing the number of tool modifications or even eliminating some forming stages, such as the trimming phase [6]. With FEM simulations, the process can also be optimized for the use of thinner sheets [7], all to decrease financial expanses.…”

Section: Introductionmentioning

confidence: 99%

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A Method for Simultaneous Optimization of Blank Shape and Forming Tool Geometry in Sheet Metal Forming Simulations

Starman

Cafuta²,

Mole

2021

Metals

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This paper presents a numerical method for simultaneous optimization of blank shape and forming tool geometry in three-dimensional sheet metal forming operations. The proposed iterative procedure enables the manufacturing of sheet metal products with geometry fitting within specific tolerances (surface and edge deviations less than 0.5 or 1.0 mm, respectively) that prescribe the maximum allowable deviation between the simulated and desired geometry. Moreover, the edge geometry of the product is affected by the shape of the blank and by an additional trimming phase after the forming process. The influences of sheet metal thinning, edge geometry, and springback after forming and trimming are considered throughout the blank and tool optimization process. It is demonstrated that the procedure effectively optimizes the tool and blank shape within seven iterations without unexpected convergence oscillations. Finally, the procedure thus developed is experimentally validated on an automobile product with elaborated design and geometry which prone to large springback amounts owning to complex-phase advanced high strength steel material selection.

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Section: Surface Deviationsmentioning

confidence: 57%

Section: Introductionmentioning

confidence: 99%

A Method for Simultaneous Optimization of Blank Shape and Forming Tool Geometry in Sheet Metal Forming Simulations

Starman

Cafuta²,

Mole

2021

Metals

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“…As can be proved that a developable surface must be a ruled surface simultaneously, a common method for developable surface interpolation is boundary triangularization [5][6][7][8]. But the boundary triangularization grow its patterns exponentially with the number of sample points on boundary, it could be infeasible in practice.…”

Section: Dynamic Programming Methodsmentioning

confidence: 99%

“…Its vertexes are recorded anti-clockwise by ( 1, 2, [7]. According to the common rule of C language, i  means i+1, i  means 1 i  .…”

Section: Dynamic Programming Methodsmentioning

confidence: 99%

Research on Developable Surface Modeling and the Processing Technology

Jun¹

2016

IJFGCN

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“…In this paper, we propose the method of coupling curved edge finite element (CEFE) and natural boundary element (NBE) to solve an anisotropic quasilinear problem in an unbounded domain. The CEFE-NBE method is based on the artificial boundary method [1] [2], namely the coupling of edge finite element (EFE) and natural boundary element (NBE) method [3] [4]. The EFE-NBE method has been used to solve many linear problems [5] [6] and is generalized to solve quasilinear problems [7] [8] [9] [10] [11].…”

Section: Introductionmentioning

confidence: 99%

On the Coupled of NBEM and CFEM for an Anisotropic Quasilinear Problem in an Unbounded Domain with a Concave Angle

Tu¹,

Liu²

2023

AJCM

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In this paper, based on the Kirchhoff transformation and the natural boundary element method, a coupled natural boundary element and curved edge finite element is applied to solve the anisotropic quasi-linear problem in an unbounded domain with a concave angle. By using the principle of the natural boundary reduction, we obtain the natural integral equation on the artificial boundary of circular arc boundary, and get the coupled variational problem and its numerical method. Then the error and convergence of coupling solution are analyzed. Finally, some numerical examples are verified to show the feasibility of our method.

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Optimal blank design based on finite element method for blades of large Francis turbines

Cited by 9 publications

References 22 publications

A Method for Simultaneous Optimization of Blank Shape and Forming Tool Geometry in Sheet Metal Forming Simulations

A Method for Simultaneous Optimization of Blank Shape and Forming Tool Geometry in Sheet Metal Forming Simulations

Research on Developable Surface Modeling and the Processing Technology

On the Coupled of NBEM and CFEM for an Anisotropic Quasilinear Problem in an Unbounded Domain with a Concave Angle

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