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Chatter stability prediction and experimental validation of crest-cut end mills based on the full-discretization method

delete2026-07-10
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PRE
AI
F
Feihong Yun
K
Kefeng Jiao
X
Xiaoquan Hao
G
Gang Wang *
L
Liquan Wang
Y
Yu Chen
Y
Yuming Du
P
Peng Jia
X
Xiangyu Wang
DOI:10.1007/s00170-026-18671-9delete
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Abstract

Abstract

En 中文
To address poor machining quality and high experimental risks caused by regenerative chatter in milling hard-to-cut materials, this paper proposes a chatter stability analysis and measurement validation framework for crest-cut end mills, combining a differential geometric model with the full-discretization method (FDM). First, the crest-cut end mill is axially discretized into cutting elements, and a static milling force model is established by analytically reconstructing the cutting point geometry. Based on this, a two-degree-of-freedom dynamic equation considering time-delay effects is constructed, and the FDM is used to formulate the state transition matrix for rapid stability calculation. A measurement system comprising impact hammer testing, cutting force acquisition, and chatter stability testing was built. Side milling experiments show that the prediction error for three-directional average cutting forces is less than 5%, accurately reproducing the non-harmonic distortion of force signals induced by the crest-cut geometry. Stability lobe diagrams (SLDs) validation confirms that, compared with the semi-discretization method (SDM), this method improves prediction accuracy by 46% in the low-speed region and reduces computation time by 24.07% in the high-speed region while maintaining equivalent accuracy. A systematic study reveals the nonlinear modulation rules of crest-cut parameters on stability, quantifies an amplitude saturation threshold of approximately 0.3 mm, and confirms that the inter-tooth phase shift is the decisive parameter for disrupting the regenerative feedback loop. This study provides a theoretical basis for the geometric parameter design of crest-cut end mills, and its excellent high-speed predictive performance can effectively reduce time-consuming and high-risk milling experiments.
Keywords:
Crest-cut end mill
Milling force
Dynamic modeling
Full-discretization method
Chatter stability

Journal

T
The International Journal of Advanced Manufacturing Technology
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2.0K
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Organization

C
College of Mechanical and Electrical Engineering
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788
Papers: 243
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A
avic aerodynamics research institute
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26
Papers: 14
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C
College of Shipbuilding Engineering
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25
Papers: 11
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H
harbin engineering university
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4.4K
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