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Effects of design factors on the driving-out force of the steel shaft in a shrink-fitted ceramic roller

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Abstract

Shrink-fitted ceramic sleeve rollers are recently developed to be used efficiently in steel manufacturing industries. However, at times, the shaft moves out of the ceramic sleeve during cyclic loading because only small a shrink-fitting ratio can be applied. Given that the driving-out forces Fd can be calculated as the contact force occuring at the stoppers, this study considers the simplified two-dimensional model with stoppers. Then, the effects of several design factors on the driving-out force are discussed by varying the friction coefficient, shrink-fitting ratio δ/d, shrink-fitted length, and Young’s modulus of the inner shaft. Results show that the driving-out force takes a maximum value of approximately δ/d = 0.3×10−3 and then sharply decreases to Fd = 0 at approximately δ/d = 0.45×10−3. The shaft moving out can be prevented by designing a suitable stopper with sufficient strength for maximum value.

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Abbreviations

F d :

Driving-out force generated on the shaft/inner plate

μ :

Friction coefficient

δ/d:

Shrink fitting ratio between the ceramic sleeve/outer plate and the shaft/inner plate

l :

Shrink fitting length between the ceramic sleeve/outer plate and the shaft/inner plate

E:

Young’s modulus

E in :

Young’s modulus of the inner plate

\(E_{in}^{Out}\) :

Young’s modulus of the outer layer of the inner plate

\(E_{in}^{{\rm{Steel}}}\) :

Young’s modulus of steel layer of the inner plate

\(E_{in}^{In}\) :

Young’s modulus of steel layer of the inner plate

\(E_{in}^{{\rm{Filler}}}\) :

Young’s modulus of the inner/filler layer of the inner plate

\(E_{in}^{{\rm{standard}}}\) :

Standard Young’s modulus of the inner plate

F s :

Contact force after the shaft/inner plate contacts with the stopper

\(F_T^{up}\) :

Frictional shear force occurred on the upside fitting surface of the shaft/inner plate

\(F_T^{down}\) :

Frictional shear force occurred on the downside fitting surface of the shaft/inner plate

l gap :

Length of the gap in the stopper

μ xD :

Moving out displacement of point D on the stopper

P :

Load applied on the shaft/inner plate

N :

Cycle number of the alternate load P

N c :

Cycle number when the inner plate starts to contact with the ceramic sleeve/outer plate

\(T_{xy}^{up}\) :

Shear stress of the upside fitting surface of the shaft/inner plate

\(T_{xy}^{down}\) :

Shear stress of the downside fitting surface of the shaft/inner plate

\(I_c^{up}\) :

Upside contact length of between the ceramic sleeve/outer plate and the shaft/inner plate

\(I_c^{down}\) :

Downside contact length of between the ceramic sleeve/outer plate and the shaft/inner plate

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Acknowledgments

The authors express gratitude to our group members, Mr. Shun Oshiro and Mr. Hiroyuki Tsurumaru, for their generous support of this study.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu, 804-8550, Japan

    Nao-Aki Noda, Guowei Zhang, Yoshikazu Sano & Yasushi Takase

  2. JP Steel Plantech Co., Yokohama, 222-0033, Japan

    Hiromasa Sakai

Authors
  1. Nao-Aki Noda
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  2. Guowei Zhang
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  3. Yoshikazu Sano
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  4. Hiromasa Sakai
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  5. Yasushi Takase
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Corresponding author

Correspondence to Guowei Zhang.

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Recommended by Editor Seungjae Min

Nao-Aki Noda received his Ph.D. degree in Mechanical Engineering from Kyushu University, Japan in 1984. Since then, he has been carrying out research and teaching at Kyushu Inst. Tech., Kitakyushu, Japan. He is an author of Theory of Elasticity useful for engineers and a co-author of Safety Engineering for Workers in Industry and other several books. He is a co-editor of the Stress Intensity Factors Handbook, Vols. 4 & 5, Advances in Finite Element Analysis for Computational Mechanics. He is a recipient of the Outstanding Paper Medal of Japan Soc. Tech. Plasticity, Sokeizai Industry Technology award from the Materials Process Tech. Ctr., a fellow of JSME (Japan Soc. Mech. Engrs.) and a fellow of JSAE (Soc. Automotive Engrs. Japan). He also received the JSMS Academic Contribution Award from Japan Soc. Material Science and JSME Materials and Mechanics Division Award from Japan Soc. of Mechanical Engineers. His achievements include research in stress analysis for notched material testing specimens and development for large ceramics structures used for steel manufacturing machinery.

Guowei Zhang is a Doctor of the Daihatsu Motor Kyushu Co., Ltd., Oita, Japan. He received his Ph.D. in the Department of Mechanical and Control Engineering from Kyushu Institute of Technology. His research interests include shrink-fitted ceramic roller, finite element method, intensity of singular stress, body force method, and modern strength design.

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Noda, NA., Zhang, G., Sano, Y. et al. Effects of design factors on the driving-out force of the steel shaft in a shrink-fitted ceramic roller. J Mech Sci Technol 35, 1559–1568 (2021). https://doi.org/10.1007/s12206-021-0320-y

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  • DOI: https://doi.org/10.1007/s12206-021-0320-y

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