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Research on combinatorial optimization of multidirectional sheet postures for forming thickness uniformity

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Abstract

To solve the problem of the uneven thickness distribution of a formed part caused by a large difference between the forming angles and the different curvatures of the surfaces in CNC incremental forming, a combinatorial optimization method of multidirectional sheet postures was proposed based on particle swarm optimization. In this method, an infinite number of optional sheet postures at each point in the forming area are taken as the combined object. The optimization goal is to make the forming angles of the entire sheet part be smaller than the forming limit angle and to minimize the difference between them; then find the optimal combination of the multidirectional sheet postures that can be selected at each point in the forming area. Case studies of the algorithm and the actual forming experiment show that not only can the optimized multidirectional sheet metal postures determined by the proposed method realize the non-fracture forming of the sheet metal parts with different forming angles and different curvature of the surface, but also obtain a more uniform thickness distribution of the formed parts.

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Abbreviations

Oij :

The central point of the radial line

θ ij :

The angle of inclination of the radial line

θ lim :

Forming limit angle

α initial :

The initial forming angle of the easily-forming surface

β initial :

The initial forming angle of the difficult-forming surface

α ij :

The forming angle on the easy-forming surface

β ij :

The forming angle on the difficult-forming surface

m :

The normal vector of the horizontal plane

i :

The particle in the population

d :

The space dimension

t :

The iteration times of the algorithm

C1, C2 :

The acceleration constants of the particles

r1, r2 :

The random numbers uniformly distributed between [0, 1]

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Shenyang Aerospace University, Shenyang, Liaoning, 110136, China

    Hu Zhu & Yang Wang

  2. School of Mechanical and Automation Engineering, Kyungnam University, Changwon, 51767, Korea

    Jaeguan Kang

Authors
  1. Hu Zhu
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  2. Yang Wang
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  3. Jaeguan Kang
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Corresponding author

Correspondence to Hu Zhu.

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Conflict of interest

The authors declare that they have no conflict of interest.

Hu Zhu is a Professor in the College of Mechanical and Electrical Engineering at Shenyang Aerospace University. He received his B.S. from Jilin University, and M.S. and Ph.D. in the Department of Mechanical Design and Production Engineering at Seoul National University. His current research interests include CAD/CAM, 3D printing, CNC incremental forming.

Yang Wang is currently an M.S. student in the College of Mechanical and Electrical Engineering at Shenyang Aerospace University. He received his B.S. from the Mechanical Manufacturing and Automation at Shenyang Aerospace University. His research interests include CAD/CAM, CNC incremental forming.

Jaeguan Kang is currently a Professor of Mechanical Engineering at the Kyungnam University. He received his Ph.D. from Pohang University of Science and Technology, M.S. from Korea Advanced Institute of Science and Technology, B.S. from Seoul National University. His primary research interests include CAD/CAM, Incremental sheet metal forming.

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Zhu, H., Wang, Y. & Kang, J. Research on combinatorial optimization of multidirectional sheet postures for forming thickness uniformity. J Mech Sci Technol 34, 4251–4261 (2020). https://doi.org/10.1007/s12206-020-0917-6

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  • DOI: https://doi.org/10.1007/s12206-020-0917-6

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