Numerical solution, simulation and testing of the thermal dynamic characteristics of ball-screws

Xia, Junyong; You-min, HU; Wu, Bo; Shi, Tielin

doi:10.1007/s11465-008-0007-4

Cited by 8 publications

(4 citation statements)

References 9 publications

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“…The thermal error 𝐸 of a feed drive system can be divided into two parts: 𝐸 𝑒 (caused by the changes in ambient temperature) and 𝐸 𝑚 (caused by the nut's movement). According to the temperature superposition principle, they can be superposed [15]; that is, the temperature response of multiple sources is the same as the sum of the temperature responses of all the single sources.…”

Section: Robust Modeling Methods Based On the Heat Transfer Theorymentioning

confidence: 99%

Thermal Error Modeling Method for a CNC Machine Tool Feed Drive System

Sun

et al. 2015

Mathematical Problems in Engineering

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The disadvantages of the common current thermal error modeling methods for CNC machine tool feed drive systems were analyzed, such as the requirement of many temperature sensors to reach high accuracy and poor applicability of different moving states. A new robust modeling method based on the heat transfer theory is proposed, and the procedure of the thermal tests for a feed drive system is presented. Multiple regression method and robust modeling method based on the heat transfer theory were, respectively, used to establish a thermal error model, and a pointer automatic optimizer was used to optimize the parameters in the robust model. A compensation simulation was conducted under five different moving states using these two modeling methods, and the advantages of the robust modeling method were proved. Finally, the compensation effect of the robust modeling method was verified under a random moving state on a vertical machining center.

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Section: Robust Modeling Methods Based On the Heat Transfer Theorymentioning

confidence: 99%

Thermal Error Modeling Method for a CNC Machine Tool Feed Drive System

Sun

et al. 2015

Mathematical Problems in Engineering

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“…Let the thermal conductivity of the lead screw k=43.3 W/ m·°C, the density ρ=7800 kg/m 3 , the specific heat capacity c=473 J/kg·°C, and the comprehensive coefficient of heat convection with the ambient air as=12.5 W/m 2 ·°C [26]. Only with the temperature rises of right and left bearing as the boundary conditions, the temperature distribution of the ball Table 6.…”

Section: Temperature and Thermal Deformation Distribution Of Ball Scrmentioning

confidence: 99%

Temperature distribution and thermal error prediction of a CNC feed system under varying operating conditions

Jin

2014

Int J Adv Manuf Technol

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In high-speed and high-precision feed systems, the thermal errors are mainly caused by the non-uniform temperature variations and time-varying thermal deformations under different operating conditions. The research work undertaken herein ultimately aims to develop a generic method which is capable of evaluating the temperature rises of heat sources (such as supporting bearings and ball screw nut) and thermal positioning error of the feed system induced by varying operating conditions (feed speed, cutting load, and preload of ball screw). Experiments were carried out on a high-speed feed system experimental bench, and the influences of operating conditions on temperature rises of supporting bearings and ball screw nut were analyzed. Based on wavelet neural network and NARMA-L2 model, the relationship between temperature rise of supporting bearings and operating conditions was established. Furthermore, with the temperature of ball screw nut set to be a moving heating source load, the temperature and thermal deformation distributions of ball screw under bearings and ball screw nut heat sources were simulated. The experiment and simulation results show that the recommended modeling method can be used to predict thermal positioning errors of feed system with good accuracy. The work described lays a solid foundation of thermal error prediction and compensation in a feed system under varying operating conditions.

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“…Figure 8 is the relationship curve of temperature variation ΔT(t) point A at the fixed end and thermal deformation D(t) of point B at the free end. Both of them are acquired by using the GE finite-difference method [7]. Figure 4 shows that the relationship between ΔT(t) and D(t) is non-linear and dynamic.…”

Section: Equation Of Heat Conductionmentioning

confidence: 99%

Transfer function solving, simulating and testing of thermal dynamics characteristics of a ballscrew

Xia

You-min

et al. 2010

Front. Mech. Eng. China

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Based on the theory of heat transfer, the transfer function between the thermal deformation of any point on the lead screw and the temperature of heat sources of a ballscrew under the influence of multi-changeable heat sources is solved by using the Laplace transform method. By solving the amplitude-frequency characteristics and phase-frequency characteristics of the transfer function, the steady-state response of thermal deformation of the ballscrew is obtained, and the thermal dynamics characteristics of the lead screw under the influence of multi-heat sources are further studied. Comparing with the result of finite-element simulation, the theoretical analyzing result accords with the steady-state part of the finite-element simulating result. Through tests of the steady-state response of thermal deformation, the thermal dynamics characteristics are further studied. The curves of tests by and large accord with the theoretical analyzing result, which shows that the method of transfer function is correct and valid in solving the steady-state response of thermal deformation.

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Numerical solution, simulation and testing of the thermal dynamic characteristics of ball-screws

Cited by 8 publications

References 9 publications

Thermal Error Modeling Method for a CNC Machine Tool Feed Drive System

Thermal Error Modeling Method for a CNC Machine Tool Feed Drive System

Temperature distribution and thermal error prediction of a CNC feed system under varying operating conditions

Transfer function solving, simulating and testing of thermal dynamics characteristics of a ballscrew

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