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

• ARTICLES • 上一篇    

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

Lu-Yi Han1, Ri-Liang Liu1,2,3, Xin-Feng Liu1   

  1. 1 School of Mechanical Engineering, Shandong University, Jinan 250061, People's Republic of China;
    2 Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Shandong University, Jinan 250061, People's Republic of China;
    3 National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061, People's Republic of China
  • 收稿日期:2020-07-23 修回日期:2020-09-14 发布日期:2021-02-27
  • 通讯作者: Ri-Liang Liu E-mail:liuriliang@sdu.edu.cn
  • 基金资助:
    The authors sincerely acknowledge the Shandong Provincial Natural Science Foundation, China (Grant. No. ZR2017MEE021) for the financial support toward this research.

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

Lu-Yi Han1, Ri-Liang Liu1,2,3, Xin-Feng Liu1   

  1. 1 School of Mechanical Engineering, Shandong University, Jinan 250061, People's Republic of China;
    2 Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Shandong University, Jinan 250061, People's Republic of China;
    3 National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061, People's Republic of China
  • Received:2020-07-23 Revised:2020-09-14 Published:2021-02-27
  • Contact: Ri-Liang Liu E-mail:liuriliang@sdu.edu.cn
  • Supported by:
    The authors sincerely acknowledge the Shandong Provincial Natural Science Foundation, China (Grant. No. ZR2017MEE021) for the financial support toward this research.

摘要: 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.

The full text can be downloaded at https://link.springer.com/article/10.1007/s40436-020-00337-8

关键词: Whirling, Asymmetric frequency response function (FRF), Stability lobe diagrams (SLD), Semidiscretization method

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.

The full text can be downloaded at https://link.springer.com/article/10.1007/s40436-020-00337-8

Key words: Whirling, Asymmetric frequency response function (FRF), Stability lobe diagrams (SLD), Semidiscretization method