Axle system thermal characteristic analysis method based on analytical method, thermal error modeling method and thermal error compensation system
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
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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 established by 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 heat 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 is the 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;
[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 1 ,C ...
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 with the data acquisition system, and adopts the thermal error modeling method of the shaft system based on the analytical method described in embodiment 2 to calculate the thermal error, and obtain the compensation components of the shaft in each direction;
[0355] The PLC controller is connected to the thermal error compen...
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