CN111310372A - Transient dynamics analysis method for main shaft bearing of precision machine tool - Google Patents

Transient dynamics analysis method for main shaft bearing of precision machine tool Download PDF

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CN111310372A
CN111310372A CN202010064942.1A CN202010064942A CN111310372A CN 111310372 A CN111310372 A CN 111310372A CN 202010064942 A CN202010064942 A CN 202010064942A CN 111310372 A CN111310372 A CN 111310372A
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bearing
machine tool
precision machine
main shaft
transient dynamics
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CN111310372B (en
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刘学平
王哲
李玙乾
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Shenzhen International Graduate School of Tsinghua University
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Abstract

The invention provides a transient dynamics analysis method of a precision machine tool spindle bearing, which comprises the steps of firstly, establishing a full-size bearing three-dimensional geometric model by adopting three-dimensional modeling software, and then establishing a finite element model; secondly, carrying out statics analysis to obtain the maximum contact stress, and then comparing the maximum contact stress with a Hertz theory to perfect the establishment of a finite element model and the division of grids; and finally, applying different loads and boundary conditions, setting solving items, and performing transient analysis and solving. The method can be used for analyzing all parameters of the main shaft bearing of the precision machine tool under different working conditions, is the basis for further researching internal mechanisms such as stress, deformation and damage in the bearing movement process, and can be used for further realizing simulation and parameter analysis of the movement process of a fault bearing and providing data for extracting fault characteristics of the bearing.

Description

Transient dynamics analysis method for main shaft bearing of precision machine tool
Technical Field
The invention relates to the field of bearing design methods, in particular to a transient dynamics analysis method for a main shaft bearing of a precision machine tool.
Background
Since a machine tool spindle bearing, which is a machine tool spindle support member, is required to bear axial and radial loads and to ensure that the rotational accuracy of the bearing does not change significantly at high speeds, it is important to analyze the influence of the structural parameters of the machine tool spindle bearing on the accuracy.
The influence of parameters of a main shaft bearing of a machine tool on precision is high in cost and long in feedback period through traditional experimental research, and scholars propose a plurality of research methods utilizing finite element analysis, but most of the bearing analysis methods based on the finite element are obtained by using display dynamics, and the dynamic response process of the bearing under the action of dynamic load changing along with time cannot be well analyzed by the analysis method.
Disclosure of Invention
The invention provides a transient dynamics analysis method for a main shaft bearing of a precision machine tool, which is characterized in that a transient dynamics analysis module is used in ANSYSTEWorkbench to carry out dynamic contact analysis on the main shaft bearing of the machine tool, so that the stress and speed distribution condition of the bearing under working rotation can be researched, the influence rule of load on the contact stress of each element of the bearing under different working conditions can be analyzed, and support can be provided for the optimized design of the bearing.
The technical scheme for solving the problems is as follows: the method for analyzing the transient dynamics of the main shaft bearing of the precision machine tool is characterized by comprising the following steps of:
1) carrying out geometric modeling on a bearing outer ring, a bearing inner ring, a retainer, a roller and the like of the bearing and assembling;
2) carrying out meshing on the model, and carrying out meshing on the inner ring, the outer ring and the roller of the bearing by using a sweeping method;
3) setting boundary conditions for the bearing, wherein all three contact pairs are set to be in friction contact;
4) carrying out statics analysis;
5) applying a load to the bearing;
6) and (5) carrying out result analysis by using transient dynamics.
Further, in the step 1), the software used for geometric modeling is in SolidWorks.
Further, in the step 2), when the free mesh formation is applied to the holder, the mesh size is set to 1.5 mm.
Further, in the step 4), when static analysis is performed, the maximum contact stress result is compared with the Hertz contact theory, and the error is ensured to be within 5%.
Further, in the step 5), when a load is applied to the bearing, a radial load which changes with time is applied first, and after the load is stabilized, a rotating speed which rises at a constant speed is applied, so that a stable loading state is finally achieved.
Further, in the step 6), the transient dynamics analysis mainly considers the inertia force and the damping force in the operation process of the main shaft bearing of the precision machine tool, only analyzes each parameter of the bearing at a certain moment, and finally applies the parameters to the whole time history to obtain the whole change rule of the bearing.
The basic equation of motion of the transient dynamics is the same as the general equation of motion, namely:
Figure BDA0002375681130000021
wherein [ M ] is]It is indicated that the quality matrix is,
Figure BDA0002375681130000022
the node acceleration vector, [ C ]]It is shown that the damping matrix is,
Figure BDA0002375681130000023
representing the node velocity vector, [ K ]]Denoted is the stiffness matrix, the force vector denoted by { f (t) }.
At any given moment, the equation can be viewed as a series of statically balanced equations that take into account inertial and damping forces.
The invention has the advantages that:
the invention provides a method for analyzing the transient dynamics of a main shaft bearing of a precision machine tool, which can analyze each parameter of the main shaft bearing of the precision machine tool under different working conditions, is the basis for further researching the internal mechanisms such as stress, deformation, damage and the like in the bearing movement process, can further realize the simulation and parameter analysis of the movement process of a fault bearing, and provides data for extracting the fault characteristics of the bearing.
Drawings
FIG. 1 is a schematic flow diagram of the process of the present invention;
FIG. 2 is a finite element model of a precision machine tool spindle bearing after meshing;
FIG. 3 is a maximum contact stress analysis of a statics simulation analysis;
FIG. 4 is applied load and rotational speed in transient dynamics;
fig. 5 is the result of transient dynamics analysis.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be described clearly and completely with reference to the accompanying drawings of the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all embodiments of the present invention. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, are within the scope of the present invention. Thus, the following detailed description of the embodiments of the present invention, presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention.
Referring to fig. 1, a method for analyzing transient dynamics of a spindle bearing of a precision machine tool includes the following steps:
1) geometric modeling is carried out on a bearing outer ring, a bearing inner ring, a retainer, a roller and the like of a precision machine tool spindle bearing in SolidWorks, assembling is carried out, local tiny characteristics such as a raceway outer fillet and a roller fillet are simplified, and finally the characteristics are stored in a bearing. stp format.
2) Stp is led into ANSYSworkbench, material definition is carried out according to an example, in the example, materials of an inner ring, an outer ring and a rolling body are bearing steel GCr15, a retainer is cold-rolled steel, two new materials are built in a material library, and density, poisson ratio and elastic modulus are set to be important. And (3) carrying out meshing, namely, carrying out meshing on the inner ring, the outer ring and the roller of the bearing by using a sweeping method, wherein the mesh size is set to be 1mm, the retainer is freely meshed and is set to be larger, the mesh size is set to be 1.5mm, and a finite element model after meshing is shown in figure 2.
3) Setting boundary conditions of a main shaft bearing of a precision machine tool, setting three contact pairs for friction contact in the transient dynamic analysis of an angular contact ball bearing, wherein the dynamic friction coefficient of a roller and an inner raceway and the dynamic friction coefficient of an outer raceway are 0.15, the dynamic friction coefficient of the roller and a retainer are 0.05, adding fixed constraint on the outer circumference of an outer ring of the bearing, limiting displacement and constraint on each directional component, and applying radial load on the inner ring of the bearing.
4) And (3) carrying out statics analysis, comparing the maximum contact stress result with a Hertz contact theory, and ensuring that the error is within 5 percent, wherein the statics analysis result is shown in figure 3, and the maximum equivalent stress occurs at the contact position of the rolling body and the inner roller way below the action line of the radial load under the action of the radial load.
5) In order to simulate the rotation of the bearing, the rotational motion of the inner ring of the bearing is realized by applying a revolute pair load, in the example, the set rotating speed is 3000r/min, the solving time of the set program is 0.15s, the load is applied by adopting a step method, the radial load which changes along with the time is applied in the first load sub-step, the application is finished in 0.04s, and after the radial load is stable, the rotating speed which rises at a constant speed is applied in the second load sub-step, so that the bearing reaches a stable loading state in 0.06s, as shown in fig. 4.
Step 6: the transient dynamics result is shown in fig. 5, when the rolling element operates stably, the stress is mainly distributed in the contact area of the rolling element and the inner and outer rings, the contact area is similar to a rectangular ellipse, the maximum stress occurs at the center of the rectangular ellipse where the bearing is in contact with the inner ring, then the working condition is correspondingly changed, the rotating speed and the load are changed, and the contact stress and the speed of the bearing are analyzed, so that the transient dynamics result is the basis for further researching the internal mechanisms of stress, deformation, damage and the like in the bearing motion process, and simultaneously, the simulation and the parameter analysis of the motion process of the fault bearing can be further realized, and data are provided for extracting the fault characteristics of the bearing.
The above description is only an embodiment of the present invention, and not intended to limit the scope of the present invention, and all equivalent structures or equivalent flow transformations made by using the contents of the specification and the drawings, or applied directly or indirectly to other related systems, are included in the scope of the present invention.

Claims (6)

1. The method for analyzing the transient dynamics of the main shaft bearing of the precision machine tool is characterized by comprising the following steps of:
1) carrying out geometric modeling on a bearing outer ring, a bearing inner ring, a retainer and a roller of the bearing and assembling;
2) carrying out meshing on the model, and carrying out meshing on the inner ring, the outer ring and the roller of the bearing by using a sweeping method;
3) setting boundary conditions for the bearing, wherein all three contact pairs are set to be in friction contact;
4) carrying out statics analysis;
5) applying a load to the bearing;
6) and (5) carrying out result analysis by using transient dynamics.
2. The method for analyzing the transient dynamics of the main shaft bearing of the precision machine tool according to claim 1, characterized in that:
in step 1): the software used for geometric modeling was in SolidWorks.
3. The method for analyzing the transient dynamics of the spindle bearing of the precision machine tool according to claim 2, characterized in that:
in the step 2), when the free gridding is used for the retainer, the grid size is set to be 1.5 mm.
4. The method for analyzing the transient dynamics of the spindle bearing of the precision machine tool according to claim 3, characterized in that:
in the step 4), when static analysis is carried out, the maximum contact stress result is compared with the Hertz contact theory, and the error is ensured to be within 5%.
5. The method for analyzing the transient dynamics of the main shaft bearing of the precision machine tool according to claim 4, characterized in that:
in the step 5), when a load is applied to the bearing, a radial load which changes along with time is applied, and after the load is stabilized, a rotating speed which rises at a constant speed is applied, so that a stable loading state is finally achieved.
6. The method for analyzing the transient dynamics of the main shaft bearing of the precision machine tool according to claim 5, characterized in that:
and 6) in the step 6), when transient dynamics analysis is carried out, only each parameter of the bearing at a certain moment is analyzed by considering the inertia force and the damping force in the running process of the main shaft bearing of the precision machine tool, and finally, the parameters are applied to the whole time history to obtain the whole change rule of the bearing.
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CN112016233A (en) * 2020-08-31 2020-12-01 江苏骠马智能工业设计研究有限公司 Dynamics optimization simulation analysis method for driving mechanism of rail-mounted inspection robot
CN113607317A (en) * 2021-08-04 2021-11-05 大连理工大学 Indirect measuring method and system for raceway contact stress
CN115774914A (en) * 2023-02-10 2023-03-10 四川蓝海智能装备制造有限公司 Cantilever crane system finite element analysis method based on transient dynamics

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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112016233A (en) * 2020-08-31 2020-12-01 江苏骠马智能工业设计研究有限公司 Dynamics optimization simulation analysis method for driving mechanism of rail-mounted inspection robot
CN112016233B (en) * 2020-08-31 2024-02-06 江苏骠马智能工业设计研究有限公司 Dynamic optimization simulation analysis method for driving mechanism of track type inspection robot
CN113607317A (en) * 2021-08-04 2021-11-05 大连理工大学 Indirect measuring method and system for raceway contact stress
CN113607317B (en) * 2021-08-04 2022-08-16 大连理工大学 Indirect measuring method and system for raceway contact stress
CN115774914A (en) * 2023-02-10 2023-03-10 四川蓝海智能装备制造有限公司 Cantilever crane system finite element analysis method based on transient dynamics
CN115774914B (en) * 2023-02-10 2023-04-28 四川蓝海智能装备制造有限公司 Finite element analysis method of boom system based on transient dynamics

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