Abstract
Circular and sectorial blanks are often cut from silicon steel sheet to make stators and rotors of electric generators. This paper presents an algorithm to generate optimal multi-section cutting patterns for the blanks. A cutting pattern includes one or more sections, each of which consists of strips of the same direction and length. Blanks in a strip are of the same size. The algorithm employs dynamic programming to generate cutting patterns, and linear programming to determine the cutting scheme. Cutting stock data from a factory that produces electric generators are analyzed, and the results indicate that the algorithm is efficient in improving material usage.
Similar content being viewed by others
References
Stoyan YG, Yaskov GN (1998) Mathematical model and solution method of optimization problem of placement of rectangles and circles taking into account special constraints. Int Trans Operl Res 5:45–57
Locatelli M, Raber U (2002) Packing equal circles in a square: a deterministic global optimization approach. Discret Appl Math 122:139–166
Joshi S, Sudit M (1994) Procedures for solving single-pass strip layout problems. IIE Trans 26:27–37
Nye TJ (2001) Optimal nesting of irregular convex blanks in strips via an exact algorithm. Int J Mach Tools Manuf 41:991–1002
Carvalho JMV (2002) LP models for bin packing and cutting stock problems. Eur J Oper Res 141:253–273
Acknowledgements
This paper is part of the project supported by Guangxi Science Foundation (Grant 0236017). The authors wish to express their appreciation to the supporter.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cui, Y., Wu, J. & Chen, H. Generating multi-section silicon steel sheet cutting patterns in the manufacturing industry of electric generators. Int J Adv Manuf Technol 32, 310–314 (2007). https://doi.org/10.1007/s00170-005-0341-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-005-0341-1