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

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DOI 10.1007/s12206-020-09 -y

Journal of Mechanical Science and Technology 34 (10) 2020 Original Article DOI 10.1007/s12206-020-0917-6 Keywords: · Sheet forming · CNC incremental forming · Combinatorial optimization of sheet postures · Thickness uniformity

Correspondence to: Hu Zhu [email protected]

Citation: Zhu, H., Wang, Y., Kang, J. (2020). Research on combinatorial optimization of multidirectional sheet postures for forming thickness uniformity. Journal of Mechanical Science and Technology 34 (10) (2020) 4251~4261. http://doi.org/10.1007/s12206-020-0917-6

Received May 10th, 2020 Revised

July 16th, 2020

Accepted August 4th, 2020 † Recommended by Editor Hyung Wook Park

Research on combinatorial optimization of multidirectional sheet postures for forming thickness uniformity Hu Zhu1, Yang Wang1 and Jaeguan Kang2 1

College of Mechanical and Electrical Engineering, Shenyang Aerospace University, Shenyang, Liaoning 2 110136, China, School of Mechanical and Automation Engineering, Kyungnam University, Changwon 51767, Korea

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. 1. Introduction

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020

With the continuous advancement of computer science and technology, digital sheet metal forming technologies have begun to appear and continue to be developed. As a leader among them, the sheet metal CNC incremental forming technology has begun to develop rapidly in many fields and has been practically applied. Compared with traditional sheet metal forming technology, the reason that the sheet metal CNC incremental forming technology can obtain great advantages in the small batch production [1, 2] is mainly that the forming process does not need specific molds, its production cycle is greatly shortened, and the manufacturing cost is also greatly reduced [3, 4]. However, the sheet metal CNC incremental forming technology also inevitably has some disadvantages,