Thermal characteristic analysis method, thermal error modeling method and thermal error compensation system of shaft system based on analytical method

An analysis method and technology of thermal characteristics, applied in complex mathematical operations, geometric CAD, design optimization/simulation, etc., can solve problems such as the inability to obtain the thermal characteristics of the shaft system

Active Publication Date: 2022-02-18
CHONGQING UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0003] The Chinese patent application with the publication number CN1948775 discloses a method and device for adjusting the bearing preload by using the thermal characteristics of metal materials. The method can obtain relatively accurate design parameters and provide design parameters for the device for adjusting the bearing preload. However, the thermal characteristics of the shaft system cannot be obtained

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  • Thermal characteristic analysis method, thermal error modeling method and thermal error compensation system of shaft system based on analytical method
  • Thermal characteristic analysis method, thermal error modeling method and thermal error compensation system of shaft system based on analytical method
  • Thermal characteristic analysis method, thermal error modeling method and thermal error compensation system of shaft system based on analytical method

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Experimental program
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Embodiment 1

[0128] In this embodiment, the method for analyzing the thermal characteristics of the shaft system based on the analytical method includes the following steps:

[0129] 1) According to the heat balance principle, the heat balance equation of the rolling element of the shaft system is established, and the transient thermal characteristic model of the shaft system is created from the heat balance equation. The rolling elements of the shaft system of this embodiment include balls, inner rings and outer rings of the bearing.

[0130] Specifically, the heat balance principle is: according to the temperature transfer principle of the shaft system, the heat balance equation for controlling the volume Ω is constructed:

[0131]

[0132] Among them, T Ω Indicates the temperature of the control volume; C indicates the specific heat capacity of the control volume; T l , T u , T r and T d Respectively represent the temperature of the object in contact with the control volume; R ...

Embodiment 2

[0275] The shaft in the shaft system is heated by the thermal load of the front and rear bearings, and the shaft temperature can be expressed as

[0276]

[0277] Among them, T(x,t) represents the heat load at the position x on the axis at time t; T fb (x,t) and T rb (x, t) represent the thermal load applied to the shaft by the front and rear bearings respectively; C 1 、C 2 、C 3 and C 4 Both are coefficients; h is the convection coefficient; λ shaft core expansion coefficient; d is the diameter of the shaft; ρ is the density of the shaft; c is the specific heat capacity of the shaft core;

[0278] For a shaft system with free ends, that is, at least one end of the shaft has only radial constraints and no axial constraints, the thermal expansion is:

[0279]

[0280] In the formula, α represents the axial thermal elongation coefficient; L represents the length of the shaft; T ∞ Indicates the ambient temperature.

[0281] Since the coefficient C cannot be determined...

Embodiment 3

[0351] like Figure 19 As shown, the thermal error compensation system of the shaft system based on the analytical method in this embodiment includes:

[0352] CNC machining center, including PLC controller and temperature sensor;

[0353] The data acquisition system is connected with the CNC machining center, and is used to collect the running speed information and running time information of the shaft system, and process the running speed information and running time information through filters, amplifiers and A / D converters to obtain the shaft The actual running time and speed of the system;

[0354] The thermal error compensation system is connected to the data acquisition system, and the thermal error modeling method based on the analytical method of the shaft system described in Embodiment 2 is used to calculate the thermal error to obtain the compensation components of the shaft in all directions;

[0355] The PLC controller is connected to the thermal error compensat...

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Abstract

The invention discloses a thermal characteristic analysis method of a shaft system based on an analytical method, which comprises the following steps: 1) creating a transient thermal characteristic model of the shaft system; 2) according to the initial operating conditions of the shaft system and the initial value, and calculate the initial value of the thermal load intensity of the bearing, the contact thermal resistance of all temperature nodes in the shaft system, and the convective heat transfer coefficient of the lubricant; 3) use the transient thermal characteristic model of the shaft system to conduct a transient thermal Analysis; 4) compare the temperature of the rolling element in two adjacent iterative sub-steps, if the convergence condition is satisfied, then enter step 5); if the convergence condition is not satisfied, then enter step 6); 5) end the analysis; 6) pass the axis system The temperature field updates the contact thermal resistance, convective heat transfer coefficient and temperature-related variables; 7) Step 3) and step 4) are repeated until the convergence condition is satisfied. The invention also proposes a thermal error modeling method and a thermal error compensation method of the shaft system.

Description

technical field [0001] The invention belongs to the technical field of thermal characteristic analysis, in particular to an analytical method-based thermal characteristic analysis method of a shaft system, a thermal error modeling method and a thermal error compensation system. Background technique [0002] The shaft system includes a shaft and bearings located at both ends of the shaft, bearing housings and bearing rings, etc. At present, bearing and lubrication are the main factors affecting the shaft speed range. In the shaft structure using contact bearings, the higher the shaft speed, the more serious the heat generation. Shaft heating is related to bearing preload. When the pre-tightening force is appropriate, the effect on the accuracy, stiffness, life, damping and noise reduction of the shaft bearing is more obvious. As the pre-tightening force increases, the friction increases, heat increases, and the service life of the bearing is reduced. The main reason for the...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23G06F30/17G06F119/08G06F17/11
CPCG06F17/11
Inventor 马驰刘佳兰易力力王时龙
Owner CHONGQING UNIV
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