Evaluation of Dynamic Behavior a Machine Tool Spindle System through Modal and Unbalance Response Analysis

The spindle system is one of the most important components of machine tool. The dynamic properties of the spindle affect the machining productivity and quality of the work pieces. Thus, it is important and necessary to determine its dynamic characteristics of spindles in the design and development in order to avoid forced resonance. The finite element method (FEM) has been adopted in order to obtain the dynamic behavior of spindle system. For this reason, obtaining the Campbell diagrams and determining the critical speeds are very useful to evaluate the spindle system dynamics. The unbalance response of the system to the center of mass unbalance at the cutting tool is also calculated to investigate the dynamic behavior. In this paper, we used an ANSYS Parametric Design Language (APDL) program which based on finite element method has been implemented to make the full dynamic analysis and evaluation of the results. Results show that the calculated critical speeds are far from the operating speed range of the spindle, thus, the spindle would not experience resonance, and the maximum unbalance response at operating speed is still with acceptable limit. ANSYS Parametric Design Language (APDL) can be used by spindle designer as tools in order to increase the product quality, reducing cost, and time consuming in the design and development stages.




References:
[1] C.W. Lin, Y.K. Lin, C.H. Chu, Dynamic models and design of spindlebearing
system of machine tools: a review, International Journal of
Precision Engineering and Manufacturing 14 (2013) 513-521.
[2] C.W. Lin, Optimization of bearing locations for maximizing first mode
natural frequency of motorized spindle-bearing systems using a genetic
algorithm, Applied Mathematics 5 (2014) 2137-2152.
[3] H.D. Nelson, J.M. McVaugh, The Dynamics models of rotor-bearing
systems using finite elements, Journal of Engineering for Industry,
Transactions of the ASME 93 (1976) 593-600.
[4] H.D. Nelson, A finite rotating shaft element using Timoshenko beam
theory, Journal of Mechanical Design, Transactions of the ASME 102
(1980) 793-803.
[5] E. Zorzi, H.D. Nelson, Finite element simulation of rotor-bearing
systems with internal damping, Journal of Engineering for Power,
Transactions of the ASME 7 (1977) 71-76.
[6] Y. Cao, Y. Altintas, A general method for the modeling of spindlebearing
system, Journal of Mechanical Design 120 (2004) 1089-1104.
[7] A. Erturk, H.N. Ozguven, E. Budak, Analytical modeling of spindle-tool
dynamics on machine tools using Timoshenko beam model and
receptance coupling for the prediction of tool point FRF, International
Journal of Precision Machine Tools & Manufacture 46 (2006) 1901-
1912.
[8] E. Chatelet, F. D’Ambrosio, G. Jacquet-Richardet, Toward global
modeling approaches for dynamic analyses of rotating assemblies of
turbomachines, Journal of Sound and Vibration 282 (2005) 163–178.
[9] R. Whalley, A. Abdul-Ameer, Contoured shaft and rotor dynamics,
Mechanism and Machine Theory 44 (2009) 772–783.
[10] H. Taplak, M. Parlak, Evaluation of gas turbine rotor dynamic analysis
using the finite element method, Measurement 45 (2012) 1089-1097.
[11] M.H. Jalali, M. Ghayour, S. Ziaei-Rad, B. Shahriari, Dynamic analysis
of high speed rotor-bearing system, Measurement 53 (2014) 1-9.
[12] C. Villa, J.J. Sinou, F. Thouverez, Stability and vibration analysis of a
complex flexible rotor bearing system, Communications in Nonlinear
Science and Numerical Simulation 13 (2008) 804–821.
[13] B. Bai, L. Zhang, T. Guo, C. Liu, Analysis of dynamic characteristics of
the main shaft system in a Hydro-turbine based on ANSYS, Procedia
Engineering 31 (2012) 654 – 658.
[14] B. Gurudatt, S. Seetharamu, P. S. Sampathkumaran, V. Krishna,
Implementation of ANSYS Parametric Design Language for the
determination of critical speeds of a fluid film bearing supported multisectioned
rotor with residual unbalance through modal and out-ofbalance
response analysis, Proceedings of world congress of
Engineering 2 (2010) 1592-1596.
[15] K. Jagannath, Evaluation of critical speed of Generator Rotor with
external load, International Journal of Engineering Research and
Development 1 (11) (2012) 11-16.
[16] M. Lalanne, B.G. Ferraris, Rotordynamics prediction in engineering,
Wiley, New York 1998.
[17] M.I Friswell, J.E.T. Penny, S.D Garvey, A.W. Lees, Dynamics of
rotating machines, Cambridge University Press, 2010.
[18] T. Yamamoto, Y. Ishida, Linear non linear rotordynamics a modern
treatment with applications, John wiley and sons, USA 2001.