Robust, fractal theory, and FEM-based temperature field analysis for machine tool spindle
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ORIGINAL ARTICLE
Robust, fractal theory, and FEM-based temperature field analysis for machine tool spindle Leilei Zhang1 · Jianping Xuan1
· Tielin Shi1 · Rui Li1 · Shuai He1 · Lv Tang1
Received: 25 March 2020 / Accepted: 9 August 2020 / Published online: 14 October 2020 © Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract The friction heat of spindle bearing has a significant impact on the precision and dynamic performance of spindle unit, which is the main factor restricting the machining precision and efficiency of the machine tool (MT). In this research, fractal theory, which characterizes rough surface by fractal dimension and surface characteristic parameters, hybrid genetic algorithm is used to study the temperature field of a FANUC machining center spindle. The thermal contact resistance (TCR) of each contact surface is computed according to the geometric characteristics and assembly load characteristics of each contact surface of the spindle. Adopting central composite design experiment and finite element method, an in-deep analysis of the thermal characteristics of machine tool in different thermal boundary conditions was conducted and the influence of thermal contact resistances and instability of thermal boundary conditions on the temperature field analysis of machine tool was discussed. Through the temperature rise experiment on the machine tool, the results of simulation analysis and experiment show that the method introduced in this research to calculate the temperature field of machine tool is effective. The work introduced in this research is helpful for the thermal analysis of spindle in machine tool, which can be seen as a guide on spindle’s design and performance optimization. Keywords Machine tool · Spindle · Temperature field · Fractal surface · Thermal resistance · Optimization · Genetic algorithm Nomenclature βii The secondary effect of xi βij The interaction effect between xi and xj βi The linear effect of xi γ Scale parameter,γ = 1.5 λair Thermal conduction of ambient air ω Spatial frequency φm,n Independent random variable distributed uniformly in [0, 2π ] ε Normal random error A, B Parameters related to the curvature radius Aa Nominal contact area of the contact surfaces Ar Real contact area of the contact surfaces Av Void area of the contact surfaces Cs Basic static load rating D Fractal dimension of the profile of fractal surface,2 < D < 3 Jianping Xuan
[email protected] 1
School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China
Equivalent feature size of the forced convection surfaces dm Average diameter of the bearing, mm e Eccentricity of contact ellipse f0 Parameters correlated with the lubrication method and type of bearing f1 A factor related to the bearing type and load Fβ Bearing load, N Fs Static equivalent load, N G Profile height characteristics of rough surfaces H Bearing heat power, W Hc Conduct conductance coefficient hf Forced convection heat transfer coefficients k Number of design varia
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