Five-axis machine with rotary-tilting spindle head (RTSH) is always used for sculptured surface machining, and the tool-tip dynamics in various machining postures along the tool path directly affect the machining accuracy and stability. To rapidly evaluate the tool-tip dynamics at different postures during the structural design of tool-spindle-spindle head (TSSH) assembly, this paper proposes a coupled dynamic model of tool-spindle-bearing system (TSBS) and RTSH. The model is a rigid-flexible multibody dynamic model with 36 degrees-of-freedom (DOFs), where in the rotary shaft, swivel shaft and housing are treated as rigid bodies; the tool, tool holder, and spindle shaft are modeled by reduced beams; the bearings and flexible joints are modeled as spring-damping elements. The fully Cartesian coordinates and Lagrangian method are employed to deduce a general parametric dynamic equation. The analytical method for calculating the contact stiffness of bearings and flexible joints is systematically presented, including tool-holder joint, holder-spindle joint, spindle bearings, hirth coupling, and the bearings and locking joints of rotary and swivel shafts. The model is verified by the frequency response functions (FRFs) testing and modal testing at different postures. The experimental results show that the proposed model can be used for accurate and efficient evaluation of the tool-tip FRFs, natural frequencies and mode shapes of TSSH at an arbitrary posture.
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August 2018
Research-Article
Coupled Model of Rotary-Tilting Spindle Head for Pose-Dependent Prediction of Dynamics
Chao Du,
Chao Du
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Search for other works by this author on:
Jun Zhang,
Jun Zhang
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Search for other works by this author on:
Dun Lu,
Dun Lu
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Search for other works by this author on:
Huijie Zhang,
Huijie Zhang
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Search for other works by this author on:
Wanhua Zhao
Wanhua Zhao
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: whzhao@mail.xjtu.edu.cn
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: whzhao@mail.xjtu.edu.cn
Search for other works by this author on:
Chao Du
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Jun Zhang
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Dun Lu
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Huijie Zhang
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
Wanhua Zhao
School of Mechanical Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China;
Xi'an Jiaotong University,
Xi'an 710049, China;
State Key Laboratory for Manufacturing
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: whzhao@mail.xjtu.edu.cn
Systems Engineering,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: whzhao@mail.xjtu.edu.cn
1Corresponding author.
Manuscript received August 3, 2017; final manuscript received April 25, 2018; published online June 1, 2018. Assoc. Editor: Satish Bukkapatnam.
J. Manuf. Sci. Eng. Aug 2018, 140(8): 081008 (16 pages)
Published Online: June 1, 2018
Article history
Received:
August 3, 2017
Revised:
April 25, 2018
Citation
Du, C., Zhang, J., Lu, D., Zhang, H., and Zhao, W. (June 1, 2018). "Coupled Model of Rotary-Tilting Spindle Head for Pose-Dependent Prediction of Dynamics." ASME. J. Manuf. Sci. Eng. August 2018; 140(8): 081008. https://doi.org/10.1115/1.4040155
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