Modal parameter determination and chatter prediction for blade whirling: a comparative study based on symmetric and asymmetric FRF

Lu-Yi Han; Ri-Liang Liu; Xin-Feng Liu

doi:10.1007/s40436-020-00337-8

Advances in Manufacturing ›› 2021, Vol. 9 ›› Issue (1) : 145 -159. DOI: 10.1007/s40436-020-00337-8

Article

Modal parameter determination and chatter prediction for blade whirling: a comparative study based on symmetric and asymmetric FRF

Lu-Yi Han ¹
, Ri-Liang Liu ¹^,²^,³^,^b
, Xin-Feng Liu ¹

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¹ School of Mechanical Engineering, Shandong University, 250061, Jinan, People’s Republic of China

² Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Shandong University, 250061, Jinan, People’s Republic of China

³ National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, 250061, Jinan, People’s Republic of China

^b liuriliang@sdu.edu.cn

Lu-Yi Han received master’s degree in engineering from the School of Mechanical Engineering, Shandong University, Jinan city, in 2019. Currently, he is pursuing his Ph.D. degree at the School of Materials Science and Engineering, Shandong University. His research interests include mechanical manufacturing, machining stability, and precision forging.

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Ri-Liang Liu studied mechanical engineering and obtained his Ph.D. in Shandong University, China. Currently, he is a professor at the School of Mechanical Engineering, Shandong University. His research interests include high-efficiency machining, CNC technology, and intelligent manufacturing.

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Xin-Feng Liu is pursuing his Ph.D. degree at the School of Mechanical Engineering, Shandong University, Jinan city. His research interests include high-efficiency machining and smart manufacture.

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Abstract

Whirling has been adopted for the cost-effective machining of blade-shape components in addition to traditional end milling and flank milling processes. To satisfy the requirements of rotary forming in the blade whirling process, the workpiece must be clamped at both ends in suspension and rotated slowly during machining, which complicates the dynamics. This study aims to identify the dynamic characteristics within the blade whirling operation and present strategies for stability prediction. In this study, the dynamic characteristics of a whirling system are modeled by assuming symmetric and asymmetric parameters. Theoretical prediction frequency response function (FRF) results are compared with experimental results. Moreover, semi-discretization stability lobe diagrams (SLDs) obtained using the dynamic parameters of these models are investigated experimentally. The results show that the asymmetric model is more suitable for describing the whirling system, whereas the symmetric model presents limitations associated with the frequency range and location of measuring points. Finally, a set of airfoil propeller blade whirling operations is conducted to verify the prediction accuracy.

Keywords

Whirling / Asymmetric frequency response function (FRF) / Stability lobe diagrams (SLD) / Semi-discretization method

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Lu-Yi Han, Ri-Liang Liu, Xin-Feng Liu. Modal parameter determination and chatter prediction for blade whirling: a comparative study based on symmetric and asymmetric FRF. Advances in Manufacturing, 2021, 9(1): 145-159 DOI:10.1007/s40436-020-00337-8