Equivalent calculation method for friction coefficient between rolling bearings of same type

Abstract

The invention relates to a method for equivalently calculating a friction coefficient between rolling bearings of the same type, which comprises the following steps of: establishing equivalent transition parameters, removing interference factors and the like, and drawing a curve of comprehensive rotating friction force of a large bearing and a comprehensive friction coefficient of the large bearing; and the curve is smoothed and prolonged through methods such as curve fitting and extension, the comprehensive rotation friction coefficient and the comprehensive rotation friction force of the large bearing under the working condition that the large bearing bears the force with different values are obtained, and therefore relevant parameters of the large bearing under all the working conditions are obtained. The friction coefficient of the same type of large bearings can be speculated by using an equivalent analysis method according to the friction coefficient of the same type of small bearings; according to the technical principle of the method, measured data of the rotating friction coefficient of the small bearings of the same type are transmitted by calculating the contact deformation area between a rolling body and a raceway, and the rotating friction coefficient of the large bearing is equivalently obtained; the technical problem that the friction coefficient of an original large bearing is difficult to measure is effectively solved.

Description

Technical Field

[0001] The present invention relates to a method for equivalent calculation of friction coefficients between rolling bearings of the same type, which is mainly used to measure the friction coefficients of small-sized bearings of the same type when the friction coefficients of large-sized bearings are difficult to measure, and to infer the friction coefficients of large-sized bearings of the same type through an equivalent analysis method. Background Art

[0002] The measurement of various rotational friction parameters of large bearings requires the construction of a large test bench, as well as matching transportation equipment such as transport vehicles, heavy gantry cranes and other lifting equipment. This requires a lot of manpower and material resources, has a long measurement cycle, and the measurement data is scarce. Therefore, it is difficult to prove the universality of the test measurement data.

[0003] Secondly, because the rotational friction coefficient of the bearing will change due to the change of contact area under different force conditions, the test conditions need to cover all working conditions of the bearing, and the test volume is too large. Summary of the invention

[0004] In view of the above-mentioned limitations in measuring the friction coefficient of large rolling bearings, the purpose of the present invention is to provide a method for equivalent calculation of the friction coefficient between rolling bearings of the same type. This method uses the measured data of the rotational friction coefficient of small bearings of the same type and calculates the contact deformation area between the rolling element and the raceway to transfer the data, so as to obtain the equivalent rotational friction coefficient of the large bearing.

[0005] The small bearings in this scheme refer to bearings with a pitch circle diameter less than 3m; the large bearings refer to bearings with a pitch circle diameter larger than the pitch circle diameter of the small bearing; that is, assuming the pitch circle diameter (inner diameter) size of the small bearing is x, then x<3m; the pitch circle diameter (inner diameter) size of the large bearing is y>x.

[0006] In order to achieve the above object, the technical solution adopted by the present invention is: a method for calculating the equivalent friction coefficient between rolling bearings of the same type, which specifically includes the following steps: The known small bearing test data include: the friction force tested under different working conditions, and the bearing friction coefficient calculated based on the friction force test results; S1. Calculate the total deformation area of ​​rolling element and raceway contact of small bearing and large bearing of the same type under the same working conditions respectively, obtain the relationship between force and contact area of ​​small bearing and large bearing according to the total deformation area and draw their respective corresponding curves; S2. Determine the force of the large bearing according to the large bearing force and contact area curve, and obtain the contact area of ​​the large bearing by calculating the force of the large bearing; and the contact area of ​​the large bearing is equivalent to the contact area of ​​the small bearing; S3. Determine the force on the small bearing according to the force on the small bearing and the contact area curve, obtain the force on the small bearing and the corresponding test friction curve through the force on the small bearing; obtain the net change friction force of the small bearing through the force on the small bearing and the corresponding test friction curve, and draw the net change friction force curve of the small bearing; and the net change friction force of the small bearing is equivalent to the net change friction force of the large bearing; S4. By testing the no-load rotation friction of a large bearing, the no-load rotation friction of the large bearing is added to the net change friction of the large bearing to obtain the comprehensive rotation friction of the large bearing, and a comprehensive rotation friction-axial force curve of the large bearing is drawn; S5. The comprehensive friction coefficient of the large bearing is obtained by dividing the comprehensive rotational friction force of the large bearing by the bearing force, and a curve of the comprehensive friction coefficient of the large bearing-axial force is drawn; S6. The comprehensive rotational friction force-axial force curve and the comprehensive friction coefficient-axial force curve of the large bearing are smoothed and extended by curve fitting and extension, and the comprehensive rotational friction coefficient and comprehensive rotational friction force of the large bearing under the working conditions of different values ​​of force are obtained, thereby obtaining the relevant parameters of the large bearing under various working conditions.

[0007] Further, in step S1, the total contact deformation area between the rolling element and the raceway of the small bearing and the same type of large bearing under the same operating conditions is calculated by using a known algorithm of Romax software or other similar software; Furthermore, in step S5, the bearing force is a single force, and the bearing force is one of an axial force and a radial force; Furthermore, in step S3, the net change friction curve of the small bearing is obtained by translating the small bearing force and the corresponding test friction curve along the ordinate direction to the origin; the purpose is to remove interference, remove the friction resistance caused by factors such as the bearing seal ring and lubrication, and only retain the friction resistance caused by the force deformation; Furthermore, in step S4, the small bearing force and the test friction force in the corresponding test friction force curve are comprehensive rotational friction force, because the test friction force integrates all factors that cause friction force; the comprehensive rotational friction force is divided by the bearing force to obtain the comprehensive friction coefficient, and the small bearing friction coefficient-axial force curve is drawn.

[0008] The technical effect of the present invention is that the friction coefficient of a large bearing of the same type can be inferred by using an equivalent analysis method through the friction coefficient of a small bearing of the same type; the technical principle of this method is to use the measured data of the rotational friction coefficient of a small bearing of the same type, and to transfer it by calculating the contact deformation area between the rolling element and the raceway, so as to obtain the rotational friction coefficient of the large bearing equivalently; the technical problem that the friction coefficient of the original large bearing is difficult to measure is effectively solved. BRIEF DESCRIPTION OF THE DRAWINGS

[0009] Figure 1 The figure is a simplified diagram of the steps of the method for equivalently calculating the friction coefficient between rolling bearings of the same type according to the present invention.

[0010] Figure 2 This is a graph showing the force and contact area of ​​small and large bearings.

[0011] Figure 3 The graphs are the curves of the small bearing force and the corresponding test friction force and the curve of the net change friction force of the small bearing.

[0012] Figure 4 This is the small bearing friction coefficient-axial force curve.

[0013] Figure 5 It is the comprehensive rotational friction force-axial force curve of large bearing and the comprehensive friction coefficient-axial force curve of large bearing (taking the case where the large bearing is subjected to 100kN axial force as an example).

[0014] Figure 6 Table 1 is the friction test data of three-row column bearing with a pitch circle diameter of 3m.

[0015] Figure 7 Table 2: Data for calculating the contact area for a three-row cylindrical bearing with a circular diameter of 3 m and a pitch diameter of 10 m.

[0016] Figure 8 Table 3 is the comprehensive friction coefficient of small bearings.

[0017] Fig. 9 Table 4 shows the comprehensive friction coefficient of large bearings (based on the situation where the large bearing is subjected to an axial force of 100kN). DETAILED DESCRIPTION

[0018] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the specific embodiments of the present invention are described in detail below in conjunction with the accompanying drawings. In the following description, many specific details are set forth to facilitate a full understanding of the present invention. However, the present invention can be implemented in many other ways different from those described herein, and those skilled in the art can make similar improvements without violating the connotation of the present invention, so the present invention is not limited by the specific embodiments disclosed below.

[0019] like Figure 1-8 The equivalent calculation method of friction coefficient between rolling bearings of the same type shown in the figure specifically comprises the following steps: The known small bearing test data include: the friction force tested under different working conditions, and the bearing friction coefficient calculated based on the friction force test results; The equivalent transition parameters are established in the following steps: S1. Calculate the total deformation area of ​​rolling element and raceway contact under the same working conditions for small bearings and large bearings of the same type respectively. According to the total deformation area, the relationship between the force and contact area of ​​small bearings and large bearings is obtained and the corresponding curves are drawn, which are curve 1 and curve 2, respectively. Figure 1 As shown; S2. Determine the force of the large bearing according to the large bearing force and contact area curve, and obtain the contact area of ​​the large bearing by calculating the force of the large bearing; and the contact area of ​​the large bearing is equivalent to the contact area of ​​the small bearing; S3. Determine the small bearing force according to the small bearing force and contact area curve, and obtain the small bearing force and corresponding test friction force curve through the small bearing force, curve 3, such as Figure 3 As shown; the net change friction of the small bearing is obtained by the small bearing force and the corresponding test friction curve, and the net change friction curve of the small bearing is drawn, curve 5, as shown Figure 3 As shown; the net change friction force of the small bearing is equivalent to the net change friction force of the large bearing; S4. Through the experiment of large bearing no-load rotation friction, the large bearing no-load rotation friction plus the large bearing net change friction is obtained to obtain the large bearing comprehensive rotation friction, and the large bearing comprehensive rotation friction-axial force curve is drawn, curve 6, such as Figure 5 As shown; S5. The comprehensive rotational friction force of the large bearing is divided by the bearing force to obtain the comprehensive friction coefficient of the large bearing, and a large bearing comprehensive friction coefficient-axial force curve is drawn, curve 7, such as Figure 5 As shown; S6. The comprehensive rotational friction force-axial force curve of the large bearing, Curve 6, and the comprehensive friction coefficient-axial force curve of the large bearing, Curve 7, are smoothed and extended by curve fitting and extension to obtain the comprehensive rotational friction coefficient and comprehensive rotational friction force of the large bearing under the working conditions of forces of different values, thereby obtaining the relevant parameters of the large bearing under various working conditions.

[0020] In the above step S3, the small bearing net change friction curve, curve 5, is obtained by translating the small bearing force and the corresponding test friction curve, curve 3, along the ordinate direction to the origin; the purpose is to remove interference, remove the friction resistance caused by factors such as bearing seals and lubrication, and only retain the friction resistance caused by force deformation; In step S4, the small bearing force and the test friction force in the corresponding test friction force curve 3 are the comprehensive rotational friction force, because the test friction force combines all factors that cause the friction force; the comprehensive rotational friction force is divided by the bearing force to obtain the comprehensive friction coefficient, and the small bearing friction coefficient-axial force curve is drawn, curve 4, such as Figure 4 shown.

[0021] An actual calculation case using the above scheme is taken as an example of three-row column bearings subjected to axial force.

[0022] The test data of three-row column bearings with a pitch diameter of 3m are shown in Table 1. Figure 6 As shown; The calculated contact area of ​​the three-row column bearing with a pitch circle diameter of 3m and a pitch circle diameter of 10m is shown in Table 2. Figure 7 As shown; the calculation of the comprehensive friction coefficient of small bearings is shown in Table 3. Figure 8 As shown; (The comprehensive rotational friction force of the large bearing under no force is 32500N after testing). By comparing the contact areas of the large bearing and the small bearing under corresponding forces, the net change friction force of the large bearing caused by deformation is obtained, and the comprehensive rotational friction force of the large bearing under no-load condition is added to obtain the comprehensive rotational friction force of the large bearing under relevant forces. The comprehensive rotational friction force of the large bearing under corresponding axial force can be obtained by simply increasing the load range of the small bearing. The comprehensive rotational friction force of the entire large bearing under corresponding axial force can be obtained by interpolation method, and divided by the corresponding axial force of the large bearing to obtain the comprehensive friction coefficient.

[0023] It should be noted that this case only lists the situation when the large shaft is subjected to an axial force of 100kN, as shown in Table 4 ( Fig. 9 ).

[0024] In this case, curves 1 to 5 are shown in Figures 2 to 4 Since this case only lists the situation when the large shaft is subjected to an axial force of 100kN, curves 6 and 7 only provide one point. Figure 5 .

[0025] In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "clockwise", "counterclockwise", "axial", "radial", "circumferential" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, and do not indicate or imply that the referred device or element must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as limiting the present invention.

[0026] In addition, the terms "first" and "second" are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, the features defined as "first" and "second" may explicitly or implicitly include at least one of the features. In the description of the present invention, the meaning of "plurality" is at least two, such as two, three, etc., unless otherwise clearly and specifically defined.

[0027] In the present invention, unless otherwise clearly specified and limited, the terms "installed", "connected", "connected", "fixed" and the like should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection or an indirect connection through an intermediate medium, it can be the internal connection of two elements or the interaction relationship between two elements, unless otherwise clearly defined. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood according to specific circumstances.

[0028] In the present invention, unless otherwise clearly specified and limited, a first feature being "above" or "below" a second feature may mean that the first and second features are in direct contact, or the first and second features are in indirect contact through an intermediate medium. Moreover, a first feature being "above", "above" or "above" a second feature may mean that the first feature is directly above or obliquely above the second feature, or simply means that the first feature is higher in level than the second feature. A first feature being "below", "below" or "below" a second feature may mean that the first feature is directly below or obliquely below the second feature, or simply means that the first feature is lower in level than the second feature.

[0029] It should be noted that when an element is referred to as being "fixed to" or "disposed on" another element, it may be directly on the other element or there may be a central element. When an element is considered to be "connected to" another element, it may be directly connected to the other element or there may be a central element at the same time. The terms "vertical", "horizontal", "upper", "lower", "left", "right" and similar expressions used herein are for illustrative purposes only and are not intended to be the only implementation method.

[0030] The above examples are only the best embodiments of the present invention. Obviously, the present invention is not limited to the above embodiments, and many variations are possible. All variations that can be directly derived or associated with the contents disclosed by a person skilled in the art should be considered as the protection scope of the present invention.

Claims

1. A method for calculating the equivalent friction coefficient between rolling bearings of the same type, characterized in that: The specific steps include: The known small bearing test data include: the friction force tested under different working conditions, and the bearing friction coefficient calculated based on the friction force test results; S1. Calculate the total deformation area of ​​rolling element and raceway contact of small bearing and large bearing of the same type under the same working conditions respectively, obtain the relationship between force and contact area of ​​small bearing and large bearing according to the total deformation area and draw their respective corresponding curves; S2. Determine the force of the large bearing according to the large bearing force and contact area curve, and obtain the contact area of ​​the large bearing by calculating the force of the large bearing; and the contact area of ​​the large bearing is equivalent to the contact area of ​​the small bearing; S3. Determine the force on the small bearing according to the force on the small bearing and the contact area curve, obtain the force on the small bearing and the corresponding test friction curve through the force on the small bearing; obtain the net change friction force of the small bearing through the force on the small bearing and the corresponding test friction curve, and draw the net change friction force curve of the small bearing; and the net change friction force of the small bearing is equivalent to the net change friction force of the large bearing; S4. By testing the no-load rotation friction of a large bearing, the no-load rotation friction of the large bearing is added to the net change friction of the large bearing to obtain the comprehensive rotation friction of the large bearing, and a comprehensive rotation friction-axial force curve of the large bearing is drawn; S5. The comprehensive friction coefficient of the large bearing is obtained by dividing the comprehensive rotational friction force of the large bearing by the bearing force, and a curve of the comprehensive friction coefficient of the large bearing-axial force is drawn; S6. The comprehensive rotational friction force-axial force curve and the comprehensive friction coefficient-axial force curve of the large bearing are smoothed and extended by curve fitting and extension, and the comprehensive rotational friction coefficient and comprehensive rotational friction force of the large bearing under the working conditions of different values ​​of force are obtained, thereby obtaining the relevant parameters of the large shaft under various working conditions.

2. The method for calculating the equivalent friction coefficient between rolling bearings of the same type according to claim 1, characterized in that: In step S5, the bearing is subjected to a single force, and the bearing force is one of an axial force and a radial force.

3. The method for calculating the equivalent friction coefficient between rolling bearings of the same type according to claim 1, characterized in that: In step S3, the net change friction curve of the small bearing is obtained by translating the force on the small bearing and the corresponding test friction curve along the ordinate direction to the origin.

4. The method for calculating the equivalent friction coefficient between rolling bearings of the same type according to claim 1, characterized in that: In step S4, the small bearing force and the test friction force in the corresponding test friction force curve are the comprehensive rotational friction force; the comprehensive rotational friction force is divided by the bearing force to obtain the comprehensive friction coefficient, and the small bearing friction coefficient-axial force curve is drawn.

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