Continuous fiber reference laying path based on least squares polynomial fitting

doi:10.19936/j.cnki.2096-8000.20250528.009

COMPOSITES SCIENCE AND ENGINEERING ›› 2025, Vol. 0 ›› Issue (5): 68-72.DOI: 10.19936/j.cnki.2096-8000.20250528.009

• DESIGN AND TECHNIQUE • Previous Articles Next Articles

Continuous fiber reference laying path based on least squares polynomial fitting

ZHU Xinyan¹, SUN Pengwen¹, SUN Wenbo², ZHANG Lanting^1*, WANG Zirui¹, LI Hongyu¹

1. School of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China;
2. Digital Research Branch, Inner Mongolia Power (Group) Co., Ltd., Hohhot 010020, China

Received:2024-03-14 Online:2025-05-28 Published:2025-07-11

Abstract

Abstract: To further study the fitting method of the reference path for fiber curve laying, and find a more accurate expression of space curve, the reference path fitting method based on least squares polynomials is proposed. By comparing the fitting effects and errors of different type basis functions, the polynomial was determined as the fitting basis function. Based on the Least squares polynomial fitting method, the corresponding Matlab program was written to solve the reference path parameter equation, and continuous fiber curve laying reference paths were obtained. The feasibility and accuracy of the least-squares polynomial fitting were verified by numerical example.

Key words: basis function, reference path, least squares method, polynomial fitting, fiber curve laying

CLC Number:

TB332

ZHU Xinyan, SUN Pengwen, SUN Wenbo, ZHANG Lanting, WANG Zirui, LI Hongyu. Continuous fiber reference laying path based on least squares polynomial fitting[J]. COMPOSITES SCIENCE AND ENGINEERING, 2025, 0(5): 68-72.

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Continuous fiber reference laying path based on least squares polynomial fitting

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