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A new semi-analytical prediction model for temperature field of ultrasonic vibration grinding of single abrasive particles

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Abstract

Single abrasive particles ultrasonic vibration grinding serves as the foundation for investigating the ultrasonic vibration grinding process. This paper proposes an innovative semi-analytical model, known as the ultrasonic vibration grinding heat transfer analysis (UVGHTA) model, which accurately predicts the temperature field in single abrasive particles ultrasonic vibration grinding with complex motion-induced heat sources. Firstly, a Gaussian-shaped heat source model is established for the grinding zone. Then, the alternating direction implicit (ADI) scheme of the finite difference method is employed to solve the heat conduction partial differential equations with ultrasonic heat source load boundary conditions. During the numerical iteration process, a synchronized additional method for heat sources is introduced to incorporate the temperature rise caused by the continuously moving heat source into the calculations, resulting in a complete semi-analytical predictive model that accurately simulates the dynamic temperature field in ultrasonic vibration grinding. Finally, the temperature field calculation results of the proposed model are compared with the finite element software calculation results and the experimentally measured temperature values for verification. This study addresses the challenge of predicting the temperature field in single abrasive particles ultrasonic grinding and provides a new approach to predicting the work surface temperature field in the heat transfer process involving multi-dimensional motion-induced time-varying heat sources.

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Funding

The authors gratefully acknowledge the support of the National Natural Science Foundation of China (NSFC) through Grants No. U22B2086.

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All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Runxiang Zou, Jun Wen, and Jinyuan Tang. The first draft of the manuscript was written by Runxiang Zou and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to Jun Wen.

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Zou, R., Wen, J., Tang, J. et al. A new semi-analytical prediction model for temperature field of ultrasonic vibration grinding of single abrasive particles. Int J Adv Manuf Technol 129, 697–714 (2023). https://doi.org/10.1007/s00170-023-12308-x

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