Liu Bin, Peng Manhua. The present state and development in high speed cutting technology [J]. Mould & Dieprojec, 2010(10): 60―66. (in Chinese)
[3]
Tang W X, Ai X, Zhang S, Jiang H. Dynamic modeling for high-speed milling system with centrifugal force and gyroscopic effect [J]. Key Engineering Materials, 2004(259/260): 848―852.
[4]
Rantatalo M, Aidanpaa J O, Goransson B, Norman P. Milling machine spindle analysis using FEM and non-contact spindle excitation and response measurement [J]. International Journal of Machine Tools & Manufacture, 2007, 47: 1034―1045.
[5]
Cao Yuzhong, Altintas Y. Modeling of spindle-bearing and machine tool systems for virtual simulation of milling operations [J]. International Journal of Machine Tools & Manufacture, 2007, 47: 1342―1350.
[6]
Schmitz T L, Ziegert J C, Stanislaus C. A method for predicting chatter stability for systems with speed-dependent spindle dynamics [J]. Proceedings of NAMARC32, 2004(32): 17―24.
[7]
Lin C W, Tu J F. Model-based design of motorized spindle systems to improve dynamic performance at high speeds [J]. Journal of Manufacturing Processes, 2007, 9(2): 94―108.
[8]
Altintas Y, Budak E. Analytical prediction of stability lobes in milling [J]. Annals of the ClRP, 1995, 4(1): 357―362
[9]
Jorgensen B R, Shin Y C. Dynamics of spindle-bearing systems at high speeds including cutting load effects [J]. Journal of Manufacturing Science and Engineering, 1998, 120: 387―394.
[10]
Ahmadi K, Ahmadian H. Modelling machine tool dynamics using a distributed parameter tool-holder joint interface [J]. International Journal of Machine Tools & Manufacture, 2007, 47: 1916―1928.
[11]
Budak E, Ertürk A, Özgüven H N. A Modeling approach for analysis and improvement of spindle-holder-tool assembly dynamics [J]. CIRP Annals-Manufacturing Technology, 2006, 55(1): 369―372.
[12]
Li H Q, Shin Y C. Analysis of bearing configuration effects on high speed spindles using an integrated dynamic thermo-mechanical spindle model [J]. International Journal of Machine Tools & Manufacture, 2004, 44: 347―364.
[13]
Wang W R, Chang C N. Dynamic analysis and design of a machine tool spindle-bearing system [J]. Journal of Vibration and Acoustics, 1994, 116: 280―285.
[14]
Aini R, Rahnejat H, Gohar R. Experimental investigation into bearing induced spindle vibration [J]. International Journal of Machine Tools & Manufacture, 1990, 30: 1―18.
[15]
Nelson H D. A finite rotating shaft element using timoshenko beam theory [J]. Journal of Mechanical Design, 1980, 102: 793―802.
[16]
Nelson H D, McVaugh J M. The dynamics of rotor-bearing systems using finite elements [J]. Journal of Engineering for Industry, 1976, 93(2): 593―600.
[17]
Cao Y Z, Altintas Y. A general method for the modeling of spindle-bearing systems [J]. Journal of Mechanical Design, 2004, 126(6): 1089―1104.
[18]
Xiong G L, Yi J M, Zeng C, Guo H K, Li L X. Study of the gyroscopic effect of the spindle on the stability characteristics of the milling system [J]. Journal of Materials Processing Technology, 2003, 138: 379―384.
[19]
Aristizabal-Ochoa J D. Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams [J]. Journal of Engineering Mechanics, 2004, 130(10): 1151―1159.
[20]
Van Rensburg N F J, Van der Merwe A J. Natural frequencies and modes of a Timoshenko beam [J]. Wave Motion, 2006, 44: 58―69.
[21]
Schmitz T L. Predicting high-speed machining dynamics by substructure analysis [J]. Annals of the CIRP, 2000, 49(1): 303―308.
[22]
Erturk A, Ozguven H N, Budak E. Effect analysis of bearing and interface dynamics on tool point FRF for chatter stability in machine tools by using a new analytical model for spindle-tool assemblies [J]. International Journal of Machine Tools & Manufacture, 2007, 47: 23―32.
Mao Haijun, Sun Qinghong, Chen Nan, Chen Xin, He Jie. The model based on continuous mass riccati transfer matrix method and research of the calculation method of frequency response function about the spindle system [J]. Journal of Southeast University (Natural Science Edition), 2000, 30(6): 34―38. (in Chinese)
[25]
Jiang Shuyun, Zheng Shufei. A modeling approach for analysis and improvement of spindle-drawbar-bearing assembly dynamics [J]. International Journal of Machine Tools & Manufacture, 2010, 50: 131―142.
[26]
Park S S, Altintas Y, Movahhedy M. Receptance coupling for end mills [J]. International Journal of Machine Tool & Manufacture, 2003, 43: 889―896.
[27]
Choi J K, Lee D G. Characteristics of a spindle bearing system with a gear located on the bearing span [J]. International Journal of Machine Tools and Manufacture, 1997, 37(2): 171―181. (in Chinese)
[28]
Kang Y, Chang Y P, Tsai J W, Chen S C, Yang L K. Integrated “CAE” strategies for the design of machine tool spindle-bearing systems [J]. Finite Elements in Analysis and Design, 2001, 37: 485―511.