Method for Calculating Evaporation Amount of Lubricant, Calculation Device, and Program

Abstract

This method for calculating the evaporation amount of a lubricant within a mechanical device to the exterior includes: a calculation step in which the evaporation amount of the lubricant is calculated using a calculation formula defined so as to include a container shape parameter defined by modeling the configuration within the machine device as a container in which the lubricant is accommodated, a physical property parameter of the lubricant, an environmental parameter from the area around the lubricant, and a parameter regarding time; and an output step in which the evaporation amount calculated in the calculation step is output.

Description

Technical Field

[0001] The present invention relates to a method for calculating the evaporation amount of a lubricant, a calculation device, and a program.

Background Art

[0002] Conventionally, in mechanical devices such as bearing devices and sliding devices, lubricants have been used for the purpose of reducing friction during their operation. The amount of the lubricant in the mechanical device can vary depending on the device configuration and the passage of time. When the amount of the lubricant changes, it affects the operation of the mechanical device. Therefore, managing the amount of the lubricant in the mechanical device is important for the proper operation of the mechanical device.

[0003] For example, Patent Document 1 discloses a configuration for preventing the intrusion of lubricating oil into a bearing space by oil plating in an open type rolling bearing. With such a configuration, Patent Document 1 suppresses fluctuations in the amount of the lubricant in the bearing space, maintains the lubrication state of the bearing space, and suppresses torque fluctuations.

Prior Art Documents

Patent Documents

[0004]

Patent Document 1

Summary of the Invention

Problems to be Solved by the Invention

[0005] The lubricant in the mechanical device evaporates over time and may flow out of the mechanical device. Therefore, as a result of the lubricant flowing out due to evaporation, the amount of the lubricant in the mechanical device decreases, which may affect the operation of the mechanical device. In Patent Document 1, although the intrusion of lubricating oil into the bearing space is considered, the amount of variation related to the evaporation of the lubricant is not considered.

[0006] In view of the above problems, an object of the present invention is to provide a method for calculating the evaporation amount of a lubricant in a mechanical device.

Means for Solving the Problems

[0007] In order to solve the above problems, the present invention has the following configuration. That is, a method for calculating the evaporation amount of a lubricant to the outside of a mechanical device, a calculation step of calculating the evaporation amount of the lubricant using a calculation formula defined by including a container shape parameter defined by modeling the configuration in the mechanical device as a container for storing the lubricant, a physical property parameter of the lubricant, an environmental parameter around the lubricant, and a time parameter; an output step of outputting the evaporation amount calculated in the calculation step; and a calculation method having the above.

[0008] Further, another form of the present invention has the following configuration. That is, a calculation device for calculating the evaporation amount of a lubricant to the outside of a mechanical device, calculation means for calculating the evaporation amount of the lubricant using a calculation formula defined by including a container shape parameter defined by modeling the configuration in the mechanical device as a container for storing the lubricant, a physical property parameter of the lubricant, an environmental parameter around the lubricant, and a time parameter; output means for outputting the evaporation amount calculated by the calculation means; and a calculation device having the above.

[0009] Further, another form of the present invention has the following configuration. That is, a program, causing a computer to perform a calculation step of calculating the evaporation amount of the lubricant to the outside using a calculation formula defined by including a container shape parameter defined by modeling the configuration in the mechanical device as a container for storing the lubricant, a physical property parameter of the lubricant, an environmental parameter around the lubricant, and a time parameter; an output step of outputting the evaporation amount calculated in the calculation step; and a program for causing the above to be executed.

Advantages of the Invention

[0010] According to the present invention, it becomes possible to calculate the evaporation amount of the lubricant in the mechanical device.

Brief Description of the Drawings

[0011]

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Modes for Carrying Out the Invention

[0012] Hereinafter, modes for carrying out the present invention will be described with reference to the drawings and the like. Note that the embodiments described below are merely examples for explaining the present invention, and are not intended to limit the interpretation of the present invention. Also, not all the configurations described in each embodiment are essential for solving the problems of the present invention. In each drawing, the same reference numerals are given to the same components to indicate the correspondence.

[0013] <First Embodiment> Hereinafter, a first embodiment of the present invention will be described. In this embodiment, as an example of a mechanical device that includes a lubricant inside and uses it in its operation, a rolling bearing will be described as an example. However, the present invention is not limited to this, and as will be described later, the present invention is applicable to any device that has a path through which the lubricant evaporates and flows out to the outside.

[0014] In the case of a rolling bearing, an open configuration is assumed in which a path to the external space is formed around the lubricant. For example, examples of types of rolling bearings include deep groove ball bearings, angular contact ball bearings, tapered roller bearings, cylindrical roller bearings, self-aligning roller bearings, and the like. Other mechanical devices that use lubricants include rotating devices such as gear devices, reduction devices, and windmills, sliding devices that perform sliding operations, motors, and the like, and the present invention is also applicable to these devices.

[0015] [Change in the Amount of Lubricant] FIG. 1 is a conceptual diagram for explaining the change in the amount of lubricant in the mechanical device according to this embodiment. The lubricant according to this embodiment is assumed to have the property of evaporating over time. Also, the lubricant is assumed to be in a state of being contained in a container of a predetermined shape, and in the example of FIG. 1, a cylindrical container will be described as an example.

[0016] In FIG. 1, the vertical axis represents the height of the liquid level of the lubricant, with the bottom surface of the container as a reference. Let the liquid level height of the lubricant at the initial time (t = 0) be z0, and the liquid level height of the lubricant at the time when time t has elapsed be z t . Also, the height of the opening of the container in which the lubricant is contained is shown as z out . That is, the lubricant evaporates over time and flows out to the outside from the opening of the container. As a result, when time t has elapsed, the liquid level height changes from z0 to z t .

[0017] The relationship between the liquid level height and time as shown in FIG. 1 can be expressed by the following formula (1).

[0018] [Number]

[0019] M: Molecular weight of lubricant [g / mol] D: Diffusion coefficient [m 2 / s] ρ: Density of lubricant [g / m 3 R: Gas constant [J·K -1 mol -1 T: Temperature [K] P vap : Saturated vapor pressure at temperature T [Pa] t: Time [s] z t : Liquid level height at time t [m] z0: Liquid level height at initial time [m] z: Liquid level height at any time [m] (z t < z < z0) z out : Height of the opening of the container [m] S(z): Cross-sectional area of the container at z [m 2 Also, the relationship between the evaporation amount of the lubricant and time can be expressed by the following formula (2).

[0020] [Number]

[0021] w: Evaporation amount [g] ρ: Density of lubricant [g / m 3 z t : Liquid level height at time t [m] z0: Liquid level height at initial time [m] z: Liquid level height at any time [m] (z t < z < z0) S(z): Cross-sectional area of the container at z [m 2

[0022] From Formula (1) and Formula (2), the change in liquid level height and the evaporation amount are predicted. In this embodiment, the lubricant flowing out of the container due to vaporization or the like is referred to as "evaporation". On the other hand, when the lubricant remains in the container even in a vaporized state, it is treated as not having evaporated.

[0023] Furthermore, when the evaporation amount of the lubricant is small, that is, when the decrease in the liquid level of the lubricant can be ignored, that is, under the conditions shown in the following Formula (3), Formula (1) and Formula (2) can be integrated into the following Formula (4).

[0024]

Number

[0025]

Number

[0026] w: Evaporation amount [g] z out : Height of the opening of the container [m] z0: Liquid level height at the initial time [m] M: Molecular weight of the lubricant [g / mol] D: Diffusion coefficient [m 2 / s] R: Gas constant [J·K -1 mol -1 T: Temperature [K] P vap : Saturated vapor pressure at temperature T [Pa] t: Time [s] z: Liquid level height at an arbitrary time [m] (z t < z < z0) S(z): Cross-sectional area of the container at z [m 2

[0027] In Formula (4), pay attention to three parts. First, in Formula (4), the following part is a parameter related to the shape of the container in which the lubricant is contained (hereinafter referred to as "container shape parameter").

[0028]

Number

[0029] Also, in Formula (4), the part of "MDP" vap is a parameter related to the physical properties of the vapor of the lubricant (hereinafter referred to as "physical property parameter"). And in Formula (4), the part of "RT" is a parameter related to the environment around the lubricant (hereinafter referred to as "environment parameter").

[0030] That is, in Formula (4), by specifying in advance the dimensions of the container in which the lubricant is contained and the physical properties of the lubricant, it becomes possible to calculate the evaporation amount of the lubricant. In the present embodiment, Formula (1) and Formula (2) are referred to as "formulas without approximation", and Formula (4) is referred to as "approximate formula", and the respective measurement results will be described. Note that the formulas without approximation and the approximate formula also include a time parameter, more specifically, a parameter indicating the passage of time from a reference.

[0031] In the case of the formula without approximation, the container shape parameter is shown on the right side of Formula (1), and the physical property parameter and the environment parameter are shown on the left side.

[0032] FIG. 2 and FIG. 3 are diagrams for explaining the comparison between the calculated values and the measured values by the method according to the present embodiment, taking two container shapes as examples. Here, hexane is used as the lubricant, and the test is conducted at a test temperature of 25°C.

[0033] FIG. 2(a) shows an example of the shape of a container that houses a lubricant. In the example of the container shown in FIG. 2(a), the main body is cylindrical, and the opening is cylindrical with a smaller diameter than the main body. The radius of the main body of the container is r1, and the radius of the opening is r0 (< r1). Also, the height of the main body is L1, and the height to the top of the container is L0 (> L1). Therefore, the length in the height direction of the opening is L0 - L1. Furthermore, a lubricant is contained in the container, and the initial liquid level height of the lubricant is z0 (< L1). For simplicity of explanation, the thickness of the container is shown here ignoring it.

[0034] FIG. 2(b) is a graph showing an example of the calculated values and measured values by the method according to the present embodiment based on the configuration of FIG. 2(a). In FIG. 2(b), the vertical axis represents the evaporation amount [g], and the horizontal axis represents the time [h]. Plot 201 shows the measured values. The broken line 202 shows the calculated values by the above formula (3). The solid line 203 shows the calculated values by the above formulas (1) and (2).

[0035] As shown in FIG. 2, by the method according to the present embodiment, it is possible to calculate the evaporation amount over time with high accuracy with respect to the measured values.

[0036] FIG. 3(a) shows another example of the shape of a container that houses a lubricant. In the example of the container shown in FIG. 3(a), the main body like an Erlenmeyer flask has a tapered shape that narrows toward the opening, and the opening has a tapered shape that widens toward the top contrary to the main body. The radius of the bottom surface of the container is r2, the radius of the connecting portion between the main body and the opening is r1 (< r2), and the radius of the opening of the container is r0 (> r1). Also, the height of the main body is L1, and the height to the top of the container is L0 (> L1). Therefore, the length in the height direction of the opening is L0 - L1. Furthermore, a lubricant is contained in the container, and the initial liquid level height of the lubricant is z0 (< L1). For simplicity of explanation, the thickness of the container is shown here ignoring it.

[0037] Figure 3(b) is a graph showing an example of the calculated value and the measured value by the method according to the present embodiment based on the configuration of Figure 3(a). In Figure 3(b), the vertical axis represents the evaporation amount [g], and the horizontal axis represents the time [h]. Plot 301 indicates the measured value. Dashed line 302 indicates the calculated value by the above formula (3). Solid line 303 indicates the calculated value by the above formulas (1) and (2).

[0038] Similar to the example shown in Figure 2, even when the shape of the container changes, the method according to the present embodiment is applicable, and it is possible to calculate the evaporation amount over time with high accuracy with respect to the measured value.

[0039] [Application Example to Mechanical Devices] An example of applying the above-described calculation method to a mechanical device will be described. Here, as a mechanical device to be predicted, a rolling bearing will be taken as an example for explanation.

[0040] Figure 4 is a conceptual diagram of a rolling bearing for calculating the evaporation amount of the lubricant according to the present embodiment. As shown in Figure 4(a), the rolling bearing 400 includes an outer ring 401, an inner ring 402, rolling elements 403, a cage 404, a seal 405, and a lubricant 406. The lubricant 406 is filled to reduce the friction between the outer ring 401 and the rolling elements 403 and between the inner ring 402 and the rolling elements 403 and perform lubrication. Also, the seal 405 is configured so that impurities such as dust do not enter the inside of the rolling bearing 400. Due to the rotational operation of the rolling bearing 400, a gap is provided between the seal 405 and the inner ring 402, and the lubricant 406 can flow out to the outside, that is, evaporate, from this gap.

[0041] In the present embodiment, an example is shown in which the inner ring 402 is a rotating ring and the outer ring 401 is a fixed ring, but the reverse configuration may also be possible. Also, the seal 405 may be installed on the inner ring 402 side and configured such that a gap is provided between the outer ring 401 and the seal 405.

[0042] Figure 4(b) shows a modeled container for accommodating the lubricant 406 in the rolling bearing 400. In the present embodiment, as shown by the frame line 410, in the rolling bearing 400, the portion surrounded by the outer ring 401, the inner ring 402, and the seal 405 is assumed as the main body of the container. Further, as shown by the frame line 411, the gap formed between the inner ring 402 and the seal 405 is assumed as the opening of the container. In Figure 4, although a part is shown in a simplified manner, the area of the gap formed between the inner ring 402 and the seal 405 corresponds to the area at the uppermost surface of the opening of the container.

[0043] Figure 5 is an example showing an enlarged view of a part of the inner ring 402 and the seal 405 in the rolling bearing 400. Here, an example of a single-row deep groove ball bearing (number: 608) is shown. As indicated by the arrow in Figure 5(a), a flow path (opening) for the lubricant is formed in the gap between the inner ring 402 and the seal 405, and the lubricant flows out to the outside through this flow path. Figure 5(b) is a modeled container shape based on the configurations of Figure 4(a) and Figure 5(a). This example is the same as that shown in Figure 2(a).

[0044] Figure 6 is another example showing an enlarged view of a part of the inner ring 402 and the seal 405 in the rolling bearing 400. Here, an example of a single-row deep groove ball bearing (number: 6203) is shown. The shape of the flow path (opening) formed between the inner ring 402 and the seal 405 is different from the example of Figure 5. Figure 6(b) is a modeled container shape based on the configurations of Figure 4(a) and Figure 6(a). It is modeled so as to have a different opening shape from Figure 5, and the diameters r0, r1, r2 and the lengths L0, L1, L2 are set corresponding to changes in the diameter and length of the flow path.

[0045] Modeling, that is, the container shape parameters can be defined according to the configuration of the mechanical device to be predicted.

[0046] [Example of test results] Figure 7 is a graph for explaining the calculation results by the method according to the present embodiment and the measured values based on the modeling of the rolling bearing shown in FIGS. 5 and 6. In FIG. 7, the vertical axis represents the evaporation rate ratio (the ratio of the evaporation amount to the total amount of the initial lubricant), and the horizontal axis represents the time [h]. In this example, the calculation results of the approximate-free formula according to the above formulas (1) and (2) are shown.

[0047] The test conditions are as follows. In this example, an organic solvent is used as the lubricant in order to ignore the change in physical property parameters due to oxidation. Also, the rolling bearing used in the test is in a stationary state. (Physical properties of organic solvent) Organic solvent: hexane Molecular weight: 86.18 [g / mol] Saturated vapor pressure (21°C): 1.7×10 4 [Pa] Saturated vapor pressure (25°C): 2.0×10 4 [Pa] Collision diameter: 0.53 [nm] (Test environment and physical properties) Atmosphere: air Molecular weight: 28.96 [g / mol] Collision diameter: 0.3617 [nm] Atmospheric pressure: 1.01325×10 5 [Pa] Temperature: room temperature [°C]

[0048] FIG. 7(a) corresponds to the example of the single-row deep-groove ball bearing (number: 608) shown in FIG. 5. Here, the result at room temperature of 21 [°C] is shown as the temperature. The solid line 701 indicates the calculation result by the method according to the present embodiment. The plot 702 indicates the measured value of the evaporation amount. Also, FIG. 7(b) corresponds to the example of the single-row deep-groove ball bearing (number: 6203) shown in FIG. 6. Here, the example at room temperature of 25 [°C] is shown as the temperature. The solid line 711 indicates the calculation result by the method according to the present embodiment. The plot 712 indicates the measured value of the evaporation amount.

[0049] As shown in FIG. 7, it is possible to predict the evaporation amount of the lubricant with high accuracy.

[0050] The method according to this embodiment can measure the evaporation amount of the lubricant contained in a mechanical device that has already been manufactured. As another application, it can also be used when predicting the evaporation amount in the design of a mechanical device to meet the conditions of the target evaporation amount. Therefore, the method according to this embodiment is not particularly limited in terms of the type of the target device and the timing of use.

[0051] Whether to use the above formulas (1) and (2) which are non-approximate formulas or the above formula (4) which is an approximate formula may be switched based on the conditions at the time of calculation. For example, when higher accuracy is required, a non-approximate formula may be used.

[0052] According to the above formula (4), in the container shape parameter, the reciprocal of the integral of the cross-sectional area of the path is used. From this, when the path becomes narrower, the parameter becomes larger, and the influence of a narrow path becomes greater. For example, in the design of a mechanical device, when the purpose is to reduce the evaporation amount of the lubricant, the gap between the seal and the inner ring may be designed so that the flow path of the lubricant becomes narrower, that is, the container shape parameter becomes larger.

[0053] [Device Configuration] FIG. 8 is a diagram showing a configuration example of an information processing apparatus capable of measuring or predicting the evaporation of the lubricant of a mechanical device using the method according to this embodiment. The information processing apparatus 800 includes a processing unit 801, a storage unit 802, an external IF (Interface) 803, a display unit 804, an operation unit 805, and a communication unit 806. The information processing apparatus 800 may be configured by a general-purpose information processing apparatus such as a PC (Personal Computer), or may be configured as a dedicated apparatus.

[0054] The processing unit 801 may be composed of a CPU (Central Processing Unit), an MPU (Micro Processing Unit), a DSP (Digital Single Processor), or a dedicated circuit, etc. The storage unit 802 is composed of volatile and non-volatile storage media such as an HDD (Hard Disk Drive), a ROM (Read Only Memory), and a RAM (Random Access Memory), and can input and output various information according to instructions from the processing unit 801. The processing unit 801 can implement the above-described calculation method by reading out and executing a program, an application, and various data related to the calculation method according to the present embodiment from the storage unit 802.

[0055] In the storage unit 802, for example, calculation formulas shown in the above formulas (1), (2), and (4) and various parameters of the mechanical device to be measured are held. More specifically, container shape parameters, physical property parameters, environmental parameters, etc. are held.

[0056] The external IF 803 is an interface for connecting to an external device. For example, when the method according to the present embodiment is used during measurement, it may be connected to a sensor for measuring information such as temperature and atmospheric pressure in the surrounding environment of the measurement target. The display unit 804 is a part for outputting the result obtained by the method according to the present embodiment, and outputs to the user according to an instruction from the processing unit 801. The operation unit 805 is a part for receiving input of parameters and various instructions from the user. The communication unit 806 is a network interface for communicating with an external device, and may be configured to output the result obtained by the method according to the present embodiment to the outside, for example.

[0057] For example, in the present embodiment, as described above, it is possible to use the non-approximation formula and the approximation formula. Therefore, the user may input a switching instruction via the operation unit 805 so as to be able to calculate using any of these formulas. Further, the operation unit 805 and the communication unit 806 may be configured to be able to receive a plurality of modeled dimensional information around the lubricant in the mechanical device to be measured.

[0058] As described above, with the configuration of the present embodiment, it is possible to provide a method for calculating the evaporation amount of the lubricant in the mechanical device.

[0059] <Other Embodiments> Also, in the present invention, a program or application for realizing the functions of one or more of the above-described embodiments is supplied to a system or device using a network or a storage medium or the like, and one or more processors in the computer of the system or device read and execute the program. This process can also be realized.

[0060] Further, it may be realized by a circuit (for example, an ASIC (Application Specific Integrated Circuit) or an FPGA (Field Programmable Gate Array)) that realizes one or more functions.

[0061] Thus, the present invention is not limited to the above-described embodiments, and it is also contemplated by the present invention that those skilled in the art can combine each configuration of the embodiments with each other, make changes, and apply based on the description in the specification and well-known techniques, and this is included in the scope for which protection is sought.

[0062] As described above, the following matters are disclosed in this specification. (1) A method for calculating the evaporation amount of the lubricant in the mechanical device to the outside, A calculating step of calculating the evaporation amount of the lubricant by using a calculation formula defined by modeling the configuration inside the mechanical device as a container for storing the lubricant, including a container shape parameter, a physical property parameter of the lubricant, an environmental parameter around the lubricant, and a time parameter; An output step of outputting the evaporation amount calculated in the calculating step; A calculation method having the above. According to this configuration, it is possible to provide a method for calculating the evaporation amount of the lubricant in the mechanical device.

[0063] (2) The calculation formula is defined by the following formula, and the calculation method according to (1).

[0064] [Number]

[0065] w: Evaporation mass [g] M: Molecular weight of lubricant [g / mol] D: Diffusion coefficient [m 2 / s] ρ: Density of lubricant [g / m 3 R: Gas constant [J·K -1 mol -1 T: Temperature [K] P vap : Saturated vapor pressure at temperature T [Pa] t: Time [s] z t : Liquid level height at time t [m] z0: Liquid level height at initial time [m] z: Liquid level height at any time [m] (z t < z < z0) z out : Height of the opening of the container [m] S(z): Cross-sectional area of the container at z [m 2 According to this configuration, it is possible to calculate the evaporation amount of the lubricant in the mechanical device with higher accuracy.

[0066] ​​​ (3) The calculation formula is the calculation method according to (1), which is defined by the following formula.

[0067]

Number

[0068] w: Evaporation mass [g] z out : Height of the opening of the container [m] z0: Liquid level height at the initial time [m] M: Molecular weight of the lubricant [g / mol] D: Diffusion coefficient [m 2 / s] R: Gas constant [J·K -1 mol -1 T: Temperature [K] P vap : Saturated vapor pressure at temperature T [Pa] t: Time [s] z: Liquid level height at any time [m] S(z): Cross-sectional area of the container at z [m 2 According to this configuration, it is possible to calculate the evaporation amount of the lubricant in the mechanical device with a simpler calculation formula.

[0069] (4) The evaporation amount of the lubricant is the amount flowing out from the container to the outside, and is the calculation method according to any one of (1) to (3). According to this configuration, it is possible to calculate the evaporation amount in consideration of the lubricant that has vaporized and remained in the device.

[0070] (5) The mechanical device is any one of a rolling bearing, a rotating device, and a sliding device. (1) to (4) The calculation method according to any one of the above. According to this configuration, it is possible to calculate the evaporation amount for various mechanical devices using lubricants.

[0071] (6) A design method for a mechanical device, using the calculation method according to any one of (1) to (5), comprising: a receiving step of receiving a designation of a container shape parameter defined by modeling a configuration within the mechanical device as a container for containing the lubricant. According to this configuration, at the design stage of the mechanical device, it becomes possible to perform design considering the evaporation amount of the lubricant.

[0072] (7) A method for measuring the evaporation amount of a lubricant within a mechanical device, using the calculation method according to any one of (1) to (5), comprising: an acquisition step of acquiring environmental parameters around the lubricant, physical property parameters of the lubricant, and time parameters of the mechanical device. According to this configuration, it becomes possible to measure the evaporation amount of the lubricant inside an existing mechanical device without actually measuring it.

[0073] (8) An evaporation amount calculation device for a lubricant outside a mechanical device, comprising: a calculation means for calculating the evaporation amount of the lubricant using a calculation formula defined including a container shape parameter defined by modeling a configuration within the mechanical device as a container for containing the lubricant, physical property parameters of the lubricant, environmental parameters around the lubricant, and time parameters; an output means for outputting the evaporation amount calculated by the calculation means; and having a calculation device. According to this configuration, it becomes possible to provide a device for calculating the evaporation amount of a lubricant within a mechanical device.

[0074] (9) A computer, using a calculation formula defined including a container shape parameter defined by modeling a configuration within a mechanical device as a container for containing a lubricant, physical property parameters of the lubricant, environmental parameters around the lubricant, and a calculation step of calculating the evaporation amount of the lubricant outside the mechanical device using time parameters. An output step for outputting the evaporation amount calculated in the above calculation step, A program for causing the above to be executed. According to this configuration, it becomes possible to provide a function for calculating the evaporation amount of the lubricant in the mechanical device.

[0075] As described above, various embodiments have been described with reference to the drawings. Needless to say, the present invention is not limited to such examples. It is obvious that those skilled in the art can conceive of various modification examples or correction examples within the scope described in the claims, and it is naturally understood that they also belong to the technical scope of the present invention. Further, within the scope not departing from the gist of the invention, the constituent elements in the above embodiments may be arbitrarily combined.

[0076] This application is based on a Japanese patent application (Japanese Patent Application No. 2023-088047) filed on May 29, 2023, the content of which is incorporated herein by reference.

Industrial Applicability

[0077] The present invention has an effect of being able to calculate the evaporation amount of the lubricant in the mechanical device, and can be used, for example, in mechanical devices such as rolling bearings, rotating devices, sliding devices, motors, etc., particularly in devices having a path through which the lubricant evaporates and flows out to the outside, for calculating the evaporation amount of the lubricant, measurement, design of mechanical devices, etc.

Explanation of Reference Numerals

[0078] 400... Rolling bearing 401... Outer ring 402... Inner ring 403... Rolling element 404... Cage 405... Seal 406... Lubricant 800... Information processing device 801... Processing unit 802... Storage unit 803... External IF 804... Display unit 805... Operation section 806... Communication section

Claims

1. A method for calculating the evaporation amount of a lubricant to the outside within a mechanical device, comprising: a calculating step of calculating the evaporation amount of the lubricant using a calculation formula defined by including a container shape parameter defined by modeling the configuration within the mechanical device as a container containing the lubricant, a physical property parameter of the lubricant, an environmental parameter around the lubricant, and a time parameter; an output step of outputting the evaporation amount calculated in the calculating step; The calculation method comprising the above.

2. The calculation method according to Claim 1, wherein the calculation formula is defined by the following formula. 【Number 1】 w: evaporation mass [g] M: molecular weight of the lubricant [g / mol] D: Diffusion coefficient [m ２ / s] ρ: Density of the lubricant [g / m ３ ​ R: Gas constant [J·K －１ mol －１ ​ T: temperature [K] P ｖａｐ : Saturated vapor pressure [Pa] at temperature T t: time [s] z ｔ : Liquid level height at time t [m] z ０ : Liquid level height at the initial time [m] z: Liquid level height at any time [m] (z ｔ < z < z ０ ) z ｏｕｔ : Height of the opening of the container [m] S(z): Cross-sectional area of the container at z [m ２ ​

3. The calculation method according to Claim 1, wherein the calculation formula is defined by the following formula. 【Number 2】 w: evaporation mass [g] z ｏｕｔ : Height of the opening of the container [m] z ０ : Liquid level height at the initial time [m] M: molecular weight of the lubricant [g / mol] D: Diffusion coefficient [m ２ / s] R: Gas constant [J·K －１ mol －１ ​ T: temperature [K] P ｖａｐ : Saturated vapor pressure [Pa] at temperature T t: time [s] z: liquid level height at an arbitrary time [m] S(z): Cross-sectional area of the container at z [m ２ ​

4. The calculation method according to Claim 1, wherein the evaporation amount of the lubricant is the amount flowing out from the container to the outside.

5. The mechanical device according to Claim 1, wherein the mechanical device is any one of a rolling bearing, a rotating device, and a sliding device.

6. A design method for a mechanical device using the calculation method according to any one of Claims 1 to 5, comprising: a receiving step of receiving a designation of a container shape parameter defined by modeling the configuration within the mechanical device as a container containing the lubricant.

7. A measurement method for the evaporation amount of a lubricant within a mechanical device using the calculation method according to any one of Claims 1 to 5, comprising: an acquisition step of acquiring an environmental parameter around the lubricant, a physical property parameter of the lubricant, and a time parameter of the mechanical device.

8. An evaporation amount calculation device for a lubricant to the outside within a mechanical device, comprising: a calculation means for calculating the evaporation amount of the lubricant using a calculation formula defined by including a container shape parameter defined by modeling the configuration within the mechanical device as a container containing the lubricant, a physical property parameter of the lubricant, an environmental parameter around the lubricant, and a time parameter; an output means for outputting the evaporation amount calculated by the calculation means; The calculation device comprising the above.

9. On a computer A container shape parameter defined by modeling the configuration within the mechanical device as a container for storing a lubricant, a physical property parameter of the lubricant, an environmental parameter around the lubricant, A calculating step of calculating an evaporation amount of the lubricant to the outside using a calculation formula defined including a parameter of time; An output step of outputting the evaporation amount calculated in the calculating step; A program for causing the above to be executed.

Images