Multi-objective optimization of blank shape for deep drawing with variable blank holder force via sequential approximate optimization

Kitayama, Satoshi; Saikyo, Marina; Kawamoto, Kiichiro; Yamamichi, Ken

doi:10.1007/s00158-015-1293-1

Cited by 23 publications

(9 citation statements)

References 30 publications

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“…

\begin{matrix} left \\ {([], \sum_{i = 1}^{2} {(w_{i} {\overset{f}{true}}_{i} (boldx))}^{p})}^{1 / p} \to \min \\ \begin{array}{c} x_{i}^{L} \leq x_{i} \leq x_{i}^{U} & i goodbreak= 1, 2, \dots, n \end{array} \end{matrix}\}

where

w_{i}

represents the weight of the i th objective function and p is the parameter. According to references 25–29, p is set to 4. Various weights are assigned to find a set of pareto‐optimal solutions

{boldx}^{p}

under

w_{1} + w_{2} = 1

.…”

Section: Multiobjective Optimization Of Multistage Packing Pressure P...mentioning

confidence: 99%

Numerical optimization of multistage packing pressure profile in plastic injection molding and experimental validation

Kitayama

Matsubayashi

Takano

et al. 2022

Polymers for Advanced Techs

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Plastic injection molding (PIM) is a crucial processing technology for producing lightweight products. Process parameters such as melt temperature, packing pressure, and cooling time directly affect not only the product quality but also the productivity, and they are conventionally adjusted by the trial‐and‐error method. A constant packing pressure is conventionally used, but the multistage packing pressure profile recently attracts attention. However, the packing pressure profile is unknown in advance, and it is difficult to determine it through the trial‐and‐error method. In this paper, the multistage packing pressure profile as well as other process parameters so as to minimize the warpage and cycle time are determined by using computational intelligence and design optimization. It is found from the numerical result that 27% warpage and 50% cycle time reduction can be achieved, compared with ones using reference process parameters. In addition, it is clarified that clamping force can be reduced. This indicates that PIM using the optimal multi‐stage packing pressure profile can produce plastic product with small clamping force that makes the tool life long. Finally, the experiment using PIM machine equipped with servo controller (MS100, Sodick) is carried out to examine the effectiveness of the multistage packing pressure profile.

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“…

\begin{matrix} left \\ {([], \sum_{i = 1}^{2} {(w_{i} {\overset{f}{true}}_{i} (boldx))}^{p})}^{1 / p} \to \min \\ \begin{array}{c} x_{i}^{L} \leq x_{i} \leq x_{i}^{U} & i goodbreak= 1, 2, \dots, n \end{array} \end{matrix}\}

where

w_{i}

represents the weight of the i th objective function and p is the parameter. According to references 25–29, p is set to 4. Various weights are assigned to find a set of pareto‐optimal solutions

{boldx}^{p}

under

w_{1} + w_{2} = 1

.…”

Section: Multiobjective Optimization Of Multistage Packing Pressure P...mentioning

confidence: 99%

Numerical optimization of multistage packing pressure profile in plastic injection molding and experimental validation

Kitayama

Matsubayashi

Takano

et al. 2022

Polymers for Advanced Techs

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“…と，応答曲面を用いて様々な目的関数や制約条件の下で VBHF の最適軌道を決定する研究 (Jakumeit et al, 2005;Wang et al, 2008;Kitayama et al, 2012;Kitayama et al, 2013;Kitayama et al, 2015)に分類することができる．これら二つのアプローチの相違点等については文献 (Kitayama et al, 2012 ( , , , ) …”

Section: 自動車部品やシンクなど多くの工業製品は，深絞り加工によって成形される．深絞り加工では，薄板(ブランク)unclassified

Design optimization of initial blank shape and segmented variable blank holder force trajectories in deep drawing

Kawamoto

Miyasaka

Yamamichi

et al. 2017

Transactions of the JSME (In Japanese)

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Blank shape minimizing earing, which is trimmed off after forming, is an important issue in sheet metal forming. In addition, blank holder force (BHF) have an influence on the product quality. Recently, variable BHF (VBHF) that the BHF varies through punch stroke is recognized as one of the advanced forming technologies. Furthermore, segmented VBHF will be valid to complex shapes for successful sheet metal forming. However, the optimal segmented VBHF trajectories and the optimal blank shape minimizing the earing are unknown in advance, and consequently the trial and error method is widely used to determine them. To resolve above issues, in this paper, a simultaneous design optimization of the blank shape and the segmented VBHF trajectories is performed. Numerical simulation in sheet metal forming is so intensive that a sequential approximate optimization using a radial basis function network is adopted to determine them. Based on the numerical result, the experiment using AC servo press is carried out. It is confirmed from the numerical and experimental result that the proposed approach is valid.

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“…Srirat et al investigate the effect of initial blank shape on earing, wrinkling, and tearing by using the sequential approximate optimization with radial basis function network, which greatly improves the utilization rate of the material (Srirat et al, 2012a(Srirat et al, , 2012b. Kitayama et al developed a segment blank holder force (S-VBHF) method to optimize the initial blank shape successfully by using a sequential approximate optimization (Kitayama et al, 2015(Kitayama et al, , 2016.…”

Section: Introductionmentioning

confidence: 99%

On the earing in cup-drawing with non-uniform die clearance: analytical, numerical and experimental approaches

Wang

Dong

Lin

et al. 2021

JAMDSM

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To minimize the earing incurred by the planar anisotropic properties of sheets, a non-uniform die clearance model was proposed for the cup drawing process. The theoretical earing profile height model with non-uniform die clearance was developed based on the combination of radial strain and thickness strain. The Hill 1948 yield criteria was applied to predict geometric earing profile and the anisotropic parameters were calibrated by optimization. It is observed that the predictions of the theoretical model are in agreement with the results of the cup drawing experiments, and the earing profile height is increasingly decreased by the non-uniform die clearance model. Further to this, a numerical model of the deep drawing process was also carried out using the commercial finite element software Abaqus. The results show that the cup drawing with non-uniform die clearance can not only minimize the earing profile height but also reduce the opening springback and twist springback in the split-ring process.

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Multi-objective optimization of blank shape for deep drawing with variable blank holder force via sequential approximate optimization

Cited by 23 publications

References 30 publications

Numerical optimization of multistage packing pressure profile in plastic injection molding and experimental validation

Numerical optimization of multistage packing pressure profile in plastic injection molding and experimental validation

Design optimization of initial blank shape and segmented variable blank holder force trajectories in deep drawing

On the earing in cup-drawing with non-uniform die clearance: analytical, numerical and experimental approaches

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