Stern bearing lubrication analysis method based on magnetic-fluid composite support connection
By performing timer start-up, magnetic support characteristics analysis, lubrication, interface characteristics analysis and structural deformation analysis on magnetic-liquid composite support stern bearings, the problem of difficulty in evaluating lubrication performance in the existing technology is solved, and effective evaluation of the lubrication performance of stern bearings and accurate judgment of load and wear amount is achieved.
Patent Information
- Application Number
- JP2024100502
- Authority / Receiving Office
- JP · JP
- Patent Type
- Applications
- Current Assignee / Owner
- Priority Date
- 2023-09-22
- Filing Date
- 2024-06-21
- Publication Date
- 2025-04-04
- Estimated Expiration
- 2044-06-21
AI Technical Summary
The prior art is difficult to effectively evaluate the lubricating performance of stern bearings supported by magnetic-liquid composites.
By starting the timer, magnetic support characteristics analysis and lubrication and interface characteristics analysis are carried out, magnetic support analysis results and lubrication support analysis are obtained, and structural deformation analysis is performed based on these results, the water film thickness is corrected, the water film pressure and contact force are calculated, the water film pressure and contact force are judged, and the load and wear amount of the stern bearing are determined.
It realizes an effective evaluation of the lubricating performance of the magnetic-liquid composite support stern bearing, can accurately judge the convergence of the water membrane pressure, determine the load and wear amount, and improves the accuracy and reliability of the lubricating performance evaluation.
Smart Images

Figure 2025051595000001_ABST
Abstract
Description
[Technical field]
[0001] The present invention relates to the technical field of stern bearings, and in particular to a stern bearing lubrication analysis method based on magnetic-fluid composite support coupling. [Background technology]
[0002] The ship's stern shaft is an important part of the propulsion shaft system, and the water-lubricated stern bearing, as a supporting member of the stern shaft, its lubrication support performance is the key to determining whether the stern shaft can continue to operate normally. Water-lubricated stern bearings usually operate at low speed and heavy load conditions, which is prone to serious friction and wear at the interface of the friction pair, and further leads to an increase in the water film gap, which reduces the lubrication support performance of the stern bearing. Water-lubricated stern bearings use the sea (river) water outside the ship as the lubricating medium, and since there are many solid impurities such as sediment in the outside water, they usually use relatively soft stern bearing liner materials to enhance the sealing and adsorption ability to solid particles, but the relatively soft materials are subject to large deformation during operation, which is unfavorable to the formation of the lubricating water film of the stern bearing. In addition, when a propeller is connected to the end of the ship's stern shaft, the gravity of the propeller causes the stern shaft to flex and deform, which deteriorates the lubrication state of the stern bearing due to the flex and deformation displacement, and changes the load force.
[0003] At present, the magnetic-fluid composite support is a feasible method to improve the lubrication performance and wear resistance of the stern bearing, and can improve to a certain extent the edge wear phenomenon commonly occurring in the stern bearing.
[0004] However, since there is currently no lubrication analysis method for the magnetic-fluid composite support, it is difficult to effectively evaluate the lubrication of the magnetic-fluid composite support stern bearing. Summary of the Invention [Problem to be solved by the invention]
[0005] The objective of the present invention is to provide a stern bearing lubrication analysis method based on magnetic-fluid composite support combination to solve the problem that it is difficult to effectively evaluate the lubricity of a stern bearing with a magnetic-fluid composite support in the prior art. [Means for solving the problem]
[0006] The present invention provides a stern bearing lubrication analysis method based on magnetic-fluid composite support coupling, comprising:
[0007] Start a timer, perform a magnetic support characteristic analysis on the stern bearing to be analyzed, obtain a magnetic support analysis result, perform a lubrication and interface characteristic analysis on the stern bearing, obtain a lubrication support analysis result,
[0008] Based on the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing to obtain a structural deformation amount;
[0009] Correct the water film thickness in the lubrication support analysis result according to the structural deformation amount, and return to the step of performing lubrication and interface characteristic analysis on the stern bearing according to the corrected water film thickness, and obtain a first water film pressure and a second water film pressure corresponding to before and after the water film thickness correction;
[0010] Determine whether the water film pressure of the stern bearing is converging based on the first water film pressure and the second water film pressure;
[0011] When the water film pressure of the stern bearing is converged, a load force of the stern bearing is calculated based on the magnetic support analysis result and the lubrication support analysis result;
[0012] When the load force is balanced with a preset input load, a bearing wear amount of the stern bearing is calculated based on the contact force of the micro-protrusion in the lubrication support analysis result;
[0013] If the timer has not reached the preset first time, a preset second time is elapsed, and the process returns to the step of performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, performing a lubrication and interface characteristic analysis on the stern bearing, and obtaining a lubrication support analysis result;
[0014] When the timer reaches the first time, output a target result, where the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount.
[0015] The present invention provides a lubrication analysis method for aft bearing based on magnetic-fluid composite support coupling, wherein performing lubrication and interface characteristic analysis on the aft bearing to obtain a lubrication support analysis result includes:
[0016] Calculating a first water film thickness at the stern bearing based on a geometric margin of the stern bearing and an inclination amount of the stern axis;
[0017] Calculating a water film pressure at the stern bearing based on the first water film thickness;
[0018] calculating a contact force of a small protrusion in the stern bearing based on the first water film thickness and the water film pressure;
[0019] At least one of the first water film thickness, the water film pressure, and the contact force of the micro-protrusions is defined as the lubrication support analysis result.
[0020] The present invention provides a lubrication analysis method for a stern bearing based on magnetic-fluid composite support coupling, wherein the magnetic support analysis result includes the magnetic attraction force of the stern bearing; and performing a structural deformation analysis on the stern bearing according to the magnetic support analysis result and the lubrication support analysis result to obtain a structural deformation amount includes:
[0021] Calculating a deflection deformation amount of the stern bearing based on the water film pressure, the contact force of the small protrusions, and the magnetic attraction force;
[0022] Calculate an elastic deformation amount of the shell bearing of the stern bearing based on the water film pressure and the contact force of the small protrusion;
[0023] At least one of the deflection deformation amount and the elastic deformation amount of the shell bearing is defined as the structural deformation amount.
[0024] The present invention provides a stern bearing lubrication analysis method based on magnetic-fluid composite support coupling, the method further comprising:
[0025] If the water film pressure of the stern bearing has not converged, an updated water film thickness is calculated based on the geometric margin, the stern axis inclination amount, and the structural deformation amount, the updated water film thickness is set as the first water film thickness, and the process returns to the step of calculating the water film pressure of the stern bearing based on the first water film thickness.
[0026] The present invention provides a stern bearing lubrication analysis method based on magnetic-fluid composite support coupling, the method further comprising:
[0027] Under a situation where the load force and the input load are not balanced, the step returns to the step of calculating the first water film thickness of the stern bearing based on the geometric margin of the stern bearing and the inclination amount of the stern axis by adjusting the first parameter to adjust the inclination amount of the stern axis.
[0028] The present invention provides a stern bearing lubrication analysis method based on magnetic-fluid composite support coupling, the method further comprising:
[0029] If the timer has not reached the first time, the first water film thickness is updated based on the geometric margin, the inclination amount of the stern axis, the structural deformation amount, and the bearing wear amount.
[0030] The present invention provides a stern bearing lubrication analysis method based on magnetic-fluid composite support coupling, wherein the structural deformation amount includes a deflection deformation amount and a shell bearing elastic deformation amount, and the first water film thickness is updated according to the geometric margin, the tilt amount of the stern axis, the structural deformation amount and the bearing wear amount, and includes the following:
[0031] Calculate a first film thickness h1 taking into account the journal inclination of the stern bearing using formula (1) based on the geometric margin and the inclination amount of the stern axis;
[0032]
number
[0033] Here, c is the radius of the gap, c=Rr, R is the radius of the bearing, r is the radius of the journal, e x 0 is the eccentricity in the x direction of the journal at the mid-section, e y 0 is the eccentricity distance in the y direction of the journal mid-section, z is the axial coordinate, α x is the journal inclination angle in the x direction, α y is the journal inclination angle in the y direction, and θ is the circumferential angle coordinate.
[0034] Based on the deflection deformation amount, the change in water film thickness per cross section when the stern bearing is loaded and deformed is calculated by h iθ Calculate
[0035] The first film thickness h1, the water film thickness change amount h iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w Based on this, the updated first water film thickness is calculated.
[0036] The present invention provides a lubrication analysis method for a stern bearing based on a magnetic-fluid composite support coupling, comprising: iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w Calculate an updated first water film thickness based on the
[0037] The first film thickness h1, the water film pressure change amount h iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w Based on this, calculate the updated first water film thickness h using equation (2),
[0038]
number
[0039] The present invention also provides a stern bearing lubrication analysis device based on a magnetic-fluid composite support coupling,
[0040] a magnetic-fluid analysis module for starting a timer, performing a magnetic support characteristic analysis on the stern bearing to be analyzed to obtain a magnetic support analysis result, and performing a lubrication and interface characteristic analysis on the stern bearing to obtain a lubrication support analysis result;
[0041] a structural deformation analysis module for performing a structural deformation analysis on the stern bearing based on the magnetic support analysis result and the lubrication support analysis result to obtain a structural deformation amount;
[0042] an acquisition module for correcting the water film thickness in the lubrication support analysis result according to the structural deformation amount, returning to the step of performing the lubrication and interface characteristic analysis for the stern bearing according to the corrected water film thickness, and obtaining the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction;
[0043] A first judgment module for judging whether the water film pressure of the stern bearing is converged based on the first water film pressure and the second water film pressure;
[0044] a second judgment module for determining the load force of the stern bearing according to the magnetic support analysis result and the lubrication support analysis result when the water film pressure of the stern bearing is converged;
[0045] a calculation module for calculating a bearing wear amount of the stern bearing based on the contact force of the micro-protrusions in the lubrication support analysis result when the load force and a preset input load are balanced;
[0046] and a processing module for, if the timer has not reached the first preset time, waiting for a second preset time, returning to the steps of performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, performing a lubrication and interface characteristic analysis on the stern bearing, obtaining a lubrication support analysis result, and outputting a target result if the timer reaches the first time, where the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount.
[0047] The present invention also provides an electronic device, comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling as described in any one of the above claims when executing the program.
[0048] The present invention also provides a non-transitory computer readable storage medium having a computer program stored therein, which, when executed by a processor, realizes the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling as described in any one of the above.
[0049] The present invention also provides a computer program product, comprising a computer program, which, when executed by a processor, realises the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling as defined in any one of the above claims. Effect of the Invention
[0050] In the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the present invention, a timer can be started to perform lubrication analysis on the stern bearing lubrication within a preset first time, and when the calculation of the current time step (first time) is completed, wear-related parameters are updated; in the specific lubrication analysis, a magnetic support characteristic analysis and a lubrication and interface characteristic analysis are performed on the stern bearing to be analyzed, and a magnetic support analysis result and a lubrication support analysis result are obtained; and, according to the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing, and a structural deformation amount is obtained; the water film thickness in the lubrication support analysis result is corrected according to the structural deformation amount; the lubrication and interface characteristic analysis is repeated according to the corrected water film thickness; a first water film pressure and a second water film pressure corresponding to before and after the water film thickness correction are obtained; the first water film pressure and the second water film pressure are compared to judge whether the water film pressure of the stern bearing has converged; if it has converged, the load force of the stern bearing is obtained according to the magnetic support analysis result and the lubrication support analysis result, and the balance between the load force and the input load is further judged. If the balance is achieved, the bearing wear amount of the stern bearing is calculated based on the contact force (interface characteristics) of the micro-protrusions in the lubrication support analysis result, and if the timer has not reached the first time, the process returns to the step of performing the magnetic support characteristic analysis and the lubrication and interface characteristic analysis for the stern bearing to be analyzed, and the target result is output after the timer reaches the first time, and the target result may be any intermediate value or result value in the above lubrication analysis process. The embodiment of the present invention can effectively evaluate the lubricity of the magnetic-fluid composite support stern bearing by using the target result. [Brief description of the drawings]
[0051] In order to more clearly describe the technical solutions of the present invention or the prior art, the following briefly describes the drawings used in the embodiments or the description of the prior art. Obviously, the drawings in the following description are some embodiment examples of the present invention, and those skilled in the art can obtain other drawings based on these drawings without creative work. [Figure 1] FIG. 1 is a flow chart of the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the present invention; [Diagram 2]FIG. 1 is a schematic diagram of the stern bearing under a certain operating state in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention; [Diagram 3] FIG. 2 is a schematic diagram 2 of the stern bearing under a certain operating state in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention. [Figure 4] FIG. 2 is a cross-sectional schematic diagram of an stern bearing under a certain operating state in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention; [Diagram 5] FIG. 2 is a schematic diagram of the structure between the permanent magnet and the stern bearing in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention. [Figure 6] FIG. 1 is a schematic diagram of the permanent magnet region and magnetic pole arrangement in the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the present invention. [Figure 7] FIG. 2 is a schematic diagram of the permanent magnet divided into three regions in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention. [Figure 8] FIG. 2 is a schematic diagram showing the relationship between the microelement and the stern bearing in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention. [Figure 9] FIG. 2 is a flow chart of the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the present invention; [Figure 10] FIG. 2 is a structural schematic diagram of a stern bearing lubrication analysis device based on the magnetic-fluid composite support coupling provided by the present invention. [Figure 11] 1 is a structural schematic diagram of an electronic device provided by the present invention; DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
[0052] In order to make the objectives, technical solutions and advantages of the present invention clearer, the following will clearly and completely describe the technical solutions of the present invention in conjunction with the drawings in the present invention. Obviously, the embodiments described herein are not all the embodiments, but only some of the embodiments of the present invention. Based on the embodiments in the present invention, all other embodiments obtained by those skilled in the art without creative work are the subject of protection of the present invention.
[0053] The lubrication analysis method for stern bearing based on magnetic-fluid composite support coupling of the present invention will be described below with reference to the drawings.
[0054] FIG. 1 is a flow chart of the lubrication analysis of the stern bearing based on the magnetic-fluid composite support coupling provided by the present invention. As shown in FIG. 1, the method includes steps 101 to 107, among which:
[0055] Step 101, start a timer, perform a magnetic support property analysis on the stern bearing to be analyzed, obtain a magnetic support analysis result, perform a lubrication and interface property analysis on the stern bearing, obtain a lubrication support analysis result.
[0056] Step 102: Based on the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing to obtain a structural deformation amount.
[0057] Step 103: correct the water film thickness in the lubrication support analysis result based on the structural deformation amount, and return to the step of performing lubrication and interface characteristic analysis for the stern bearing based on the corrected water film thickness, and obtain the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction.
[0058] Step 104: Determine whether the water film pressure of the stern bearing is converging based on the first water film pressure and the second water film pressure.
[0059] Step 105: if the water film pressure of the stern bearing is converged, the load force of the stern bearing is calculated based on the magnetic support analysis result and the lubrication support analysis result.
[0060] Step 106: When the load force is balanced with the preset input load, calculate the bearing wear amount of the stern bearing based on the contact force of the micro protrusions in the lubrication support analysis result.
[0061] Step 107: if the timer has not reached the preset first time, wait for a preset second time, perform a magnetic support characteristic analysis on the stern bearing to be analyzed, obtain a magnetic support analysis result, perform a lubrication and interface characteristic analysis on the stern bearing, and return to the step of obtaining a lubrication support analysis result, and if the timer reaches the first time, output a target result. Here, the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount.
[0062] In the related art, there is currently no lubrication analysis method for the magnetic-fluid composite support, so it is difficult to effectively evaluate the lubrication degree of the stern bearing of the magnetic-fluid composite support.
[0063] The method provided by the embodiment of the present invention is a method for analyzing the lubrication of a water-lubricated stern bearing, taking into account the combined effect of magnetic support and fluid support. Both the magnetic support and the fluid support affect the interaction between the journal and the bearing through their support characteristics (load force change), and further achieve different lubrication performance. Therefore, based on the structure of a certain magnetic-fluid composite supported stern bearing, the embodiment of the present invention can more precisely analyze the lubrication state of the stern bearing and the wear characteristics of the stern bearing surface under the magnetic-fluid combined effect after the introduction of magnetic support.
[0064] Specifically, a timer is started, and a lubrication analysis is performed on the lubrication of the stern bearing within a preset first time period, and when the calculation of the current time step (first time period) is completed, the wear-related parameters can be updated.
[0065] In a specific lubrication analysis, a magnetic support characteristic analysis and a lubrication and interface characteristic analysis are performed on the stern bearing to be analyzed, and magnetic support analysis results and lubrication support analysis results are obtained. Then, a structural deformation analysis is performed on the stern bearing based on the magnetic support analysis results and the lubrication support analysis results to obtain the structural deformation amount. The water film thickness in the lubrication support analysis results is corrected based on the structural deformation amount. The lubrication and interface characteristic analysis is repeated based on the corrected water film thickness to obtain the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction. The first water film pressure and the second water film pressure are compared to determine whether the water film pressure of the stern bearing has converged. If it has converged, the load force of the stern bearing can be obtained based on the magnetic support analysis results and the lubrication support analysis results, and the balance between the load force and the input load can be determined. If the balance is achieved, calculate the bearing wear amount of the stern bearing based on the contact force (interface characteristics) of the micro-protrusions in the lubrication support analysis result. At this time, if the timer has not reached the first time, return to the step of performing the magnetic support characteristic analysis and the lubrication and interface characteristic analysis for the stern bearing being analyzed, and output the target result after the timer reaches the first time, and the target result may be each intermediate value or result value in the above lubrication analysis process.
[0066] Here, it should be explained that if the timer has not reached the first hour, when returning to the step of performing the magnetic support characteristic analysis and the lubrication and interface characteristic analysis for the stern bearing to be analyzed, the intermediate or result values obtained in the previous step may affect the next magnetic support characteristic analysis or the lubrication and interface characteristic analysis.
[0067] For example, the amount of bearing wear calculated in the previous step may affect the results of the lubrication support analysis by the lubrication and interface characteristic analysis when the next analysis is performed, because the amount of bearing wear is taken into account when determining the water film thickness in the lubrication and interface characteristic analysis, which further affects the entire lubrication and interface characteristic analysis process and ultimately affects the results of the lubrication support analysis.
[0068] Regarding the target result, in order to reflect the changes in the lubrication analysis process, the final result quantity before output can be the target result, or the corresponding intermediate value of one or more previous times can be the target result.
[0069] In the lubrication analysis method of the stern bearing with magnetic-fluid composite support provided by the embodiment of the present invention, a timer can be started to perform lubrication analysis on the stern bearing lubrication within a preset first time, and when the calculation of the current time step (first time) is completed, wear-related parameters are updated; in the specific lubrication analysis, a magnetic support characteristic analysis and a lubrication and interface characteristic analysis are performed on the stern bearing to be analyzed, and a magnetic support analysis result and a lubrication support analysis result are obtained; and, according to the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing, and a structural deformation amount is obtained; the water film thickness in the lubrication support analysis result is corrected according to the structural deformation amount; the lubrication and interface characteristic analysis is repeated according to the corrected water film thickness; a first water film pressure and a second water film pressure corresponding to before and after the water film thickness correction are obtained; the first water film pressure and the second water film pressure are compared to judge whether the water film pressure of the stern bearing has converged; if it has converged, the load force of the stern bearing is obtained according to the magnetic support analysis result and the lubrication support analysis result, and the balance between the load force and the input load is further judged. If the balance is achieved, the bearing wear amount of the stern bearing is calculated based on the contact force (interface characteristics) of the micro-protrusions in the lubrication support analysis results. In this case, if the timer has not reached the first hour, the process returns to the step of performing the magnetic support characteristic analysis and the lubrication and interface characteristic analysis for the stern bearing being analyzed, and the target result is output after the timer reaches the first hour. The target result is each intermediate value or result value in the above lubrication analysis process, and the embodiment of the present invention can effectively evaluate the lubrication degree, etc. of the magnetic-fluid composite supported stern bearing by using the target result.
[0070] In addition, the method for carrying out lubrication and interface characteristic analysis on the stern bearing and obtaining the lubrication support analysis result includes the following:
[0071] Calculate a first water film thickness of the stern bearing based on a geometric clearance of the stern bearing and an inclination amount of the stern axis;
[0072] Calculating a water film pressure at the stern bearing based on the first water film thickness;
[0073] calculating a contact force of a small protrusion in the stern bearing based on the first water film thickness and the water film pressure;
[0074] At least one of the first water film thickness, the water film pressure, and the contact force of the micro-protrusions is defined as the lubrication support analysis result.
[0075] Specifically, the first water film thickness of the stern bearing is calculated based on the geometric margin of the stern bearing and the inclination amount of the stern axis, and can be derived as follows:
[0076] As shown in Figures 2 to 4, Figure 2 is a schematic diagram 1 of an stern bearing under a certain operating condition in the stern bearing lubrication analysis method based on magnetic-fluid composite support connection provided by the present invention, Figure 3 is a schematic diagram 2 of an stern bearing under a certain operating condition in the stern bearing lubrication analysis method based on magnetic-fluid composite support connection provided by the present invention, and Figure 4 is a cross-sectional schematic diagram of an stern bearing under a certain operating condition in the stern bearing lubrication analysis method based on magnetic-fluid composite support connection provided by the present invention.
[0077] 2 and 3 show a sliding bearing in one operating state, where the spatial inclination angle is α x and α y and represent the inclination angles in the x and y directions, respectively. Figure 4 shows a cross section of a sliding bearing, where R and r represent the radius of the bearing and the radius of the journal, respectively, and the radial clearance c = Rr. e and φ represent the eccentric distance and eccentric angle of the journal, respectively. When the eccentric distance is resolved into the x and y directions, e x , e y represents the horizontal and vertical components of the eccentricity distance and satisfies the following equation: h' is the water film thickness in the circumferential coordinate θ, ω j is the normal rotation speed of the stern shaft and is generally not expected to change.
[0078]
number
[0079] From the geometrical relationships, the coating thickness calculation formula without considering the journal inclination can be derived:
[0080]
number
[0081] Here, ε is the eccentricity, ε=e / c.
[0082] Taking into account the inclination of the journal, the eccentricity distances in the x and y directions of each cross section can be calculated using the following formulas:
[0083]
number
[0084] Here, e x 0 , e y 0 are the eccentric distances in the x and y directions of the journal at the mid-section, respectively, and α x , α y are the cross sections of z>0, respectively. x , e y is the increasing journal tilt angle in the x and y directions.
[0085] Therefore, when the journal inclination is not taken into consideration, the water film thickness h′ is x , e y When considering the journal inclination, it is necessary to introduce the journal inclination in the x and y directions, so the water film thickness h' is related to the mid-section eccentricity distance e x 0 , e y 0 and journal inclination angle α x , α y is a function of, namely:
[0086]
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[0087] In addition, the magnetic support analysis result includes the magnetic attraction force of the stern bearing, and the method for performing a structural deformation analysis on the stern bearing to obtain a structural deformation amount based on the magnetic support analysis result and the lubrication support analysis result includes the following:
[0088] Calculating a deflection deformation amount of the stern bearing based on the water film pressure, the contact force of the small protrusions, and the magnetic attraction force;
[0089] Calculate an elastic deformation amount of the shell bearing of the stern bearing based on the water film pressure and the contact force of the small protrusion;
[0090] At least one of the deflection deformation amount and the elastic deformation amount of the shell bearing is defined as the structural deformation amount.
[0091] Specifically, (1) magnetic support characteristic analysis will be explained below.
[0092] 1) Structural model and magnetic field analysis.
[0093] Figure 5 is a structural schematic diagram between the permanent magnet and the stern bearing in the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the present invention. As shown in Figure 5, the permanent magnet area shown in the figure is a halbach permanent magnet array, the function of which is to strengthen the magnetic field on the magnet side (the side closer to the negative direction of Y in the figure) while weakening the other side (the side closer to the positive direction of Y in the figure) to almost zero. The permanent magnet block adopts a form in which radial magnetization and axial magnetization are alternately arranged, as shown in Figure 6. Figure 6 is a schematic diagram of the permanent magnet area and magnetic pole arrangement in the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the present invention.
[0094] In order to obtain the magnetic attraction force of the permanent magnet array against the axis, it is necessary to obtain the magnetic flux density distribution in the gap area between the permanent magnet array and the journal in the magnetic field analysis. Based on the characteristics of the Halbach permanent magnet array, the analysis area can be divided into three parts, ignoring the end effect and the influence of other structures such as the copper jacket and the yoke on the magnetic field. Figure 7 is a schematic diagram of the permanent magnet area divided into three areas in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention. As shown in Figure 7, the relative permeability μ of areas I and III can be approximately r = 1, and region II is considered as the halbach permanent magnet array. The magnetic flux density distribution in region III can be calculated by the following equation:
[0095]
number
[0096] where μ0 = vacuum permeability, λ = kω, k is the harmonic number, ω is a coefficient related to the array structure, and ω = 2π / 1, 1 is the axial length K of the halbach array module. III and is calculated using the following formula:
[0097]
number
[0098] Here, the following equation is expressed, and y1 and y2 are the y-direction coordinates at the medium boundary.
[0099]
number
[0100] It should be noted that when determining the magnetic flux density in region III, it is necessary to set the number of harmonics for which the sum is to be determined to satisfy the accuracy requirements in order to meet the process needs.
[0101] 2) Magnetic attraction force calculation model.
[0102] The forces acting on ferromagnetic materials in a magnetic field are usually calculated using the Maxwell stress tensor method or the virtual work principle method. The magnetic attraction force of the halbach array to the axis of rotation is calculated using the Maxwell stress tensor method.
[0103] It is assumed that there are no end effects, no magnetic leakage, and the magnetic induction strength is zero in areas of the rotating shaft surface that are not covered by the permanent magnet array (the covered areas are shown below).
[0104] First, calculate the magnetic attraction force experienced by the microelements on the journal surface. Figure 8 is a schematic diagram showing the relationship between the microelements and the stern bearing in the stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling provided by the present invention. As shown in Figure 8, in the gap between the halbach array and the rotating shaft, the length, width and height of the microelements are considered, and the width direction is not shown. The upper surface of the microelement is adjacent to the outer side of the outer surface of the rotating shaft, and the lower surface is close to the outer side of the inner surface of the rotating shaft. According to the stress tensor method, the volume integral is converted into a surface integral using the divergence theorem, and the force acting on the microelement by the magnetic field can be expressed as follows:
[0105]
number
[0106] Here, B n is the component of the magnetic flux density in region III perpendicular to the surface S, and the above equation can be further written as
[0107]
number
[0108] As shown above, the magnetic attraction force (y direction) on the journal of the halbach permanent magnet array is obtained:
[0109]
number
[0110] Here, φ′ and Z indicate the coordinate range of the journal area covered by the permanent magnet.
[0111] (2) The contact force of the micro-projections is specifically analyzed as follows.
[0112] An embodiment of the present invention uses the GT contact model, the equation of which is:
[0113]
number
[0114] Here, E is the overall elastic modulus, which can be obtained from the elastic moduli E1 and E2 of both contact surfaces and the Poisson's ratios v1 and v2, and specifically, can be calculated by the following formula.
[0115]
number
[0116] F(H) is the distribution function and can be calculated using the following formula:
[0117]
number
[0118] K is the elastic modulus and can be calculated using the following formula.
[0119]
number
[0120] Here, φ represents the density of the microprotrusions, and β represents the radius of curvature of the roughness peak of the microprotrusions.
[0121] (3) Regarding the deflection of the stern axis, the specific analysis is as follows:
[0122] Under the combined action of the propeller's gravity, fluid pressure and contact pressure, the stern bearing will deflect, and the approximate differential equation of the stern shaft deflection curve is:
[0123]
number
[0124] Here, E is the elastic modulus of the shaft, I is the moment of inertia of the centroid axis, and for a circular cross section I=D 4 In π / 64, where D is the diameter of the shaft, the deflection curve equation obtained by integration is:
[0125]
number
[0126] Here, C and D are constants determined by the boundary conditions.
[0127] Depending on the loading situation and boundary conditions, the deflection curve equation for a shaft subjected to concentrated forces is given by the following two equations.
[0128]
number
[0129]
number
[0130] where a is the axial position of the concentrated force application point, and the load condition is F x , F y and a.
[0131] When the shaft is deformed by the load at the bearing, the thickness of the water film corresponding to each cross section changes, as expressed by the following equation:
[0132]
number
[0133] Here, i is the degree of discreteness (number of nodes) in the axial direction of the stern axis, and is the eccentricity distance taking into account the deflection deformation of the i-th axis segment, specifically, as follows:
[0134]
number
[0135] The propeller gravity is a concentrated force acting on the end of the stern shaft. If the axial discreteness of the computational domain of the stern shaft is sufficiently large, the fluid pressure (p) and contact pressure (p c ) is integrated along its surface and the resultant force is considered as a concentrated force. The magnetic load force (F m ) is calculated, the F required for this module to calculate the deflection displacement. x , F y The components of the deflection displacement in the x and y directions of a certain shaft segment under the action of each element are linearly superimposed to obtain the final deflection displacement of this shaft segment.
[0136] (4) The elastic deformation of the bearing inner bore surface is analyzed specifically as follows:
[0137] Elastic modulus of stern shaft material (10 2 The elastic modulus of the liner material of the stern bearing (10 GPa order) is -1 Since the pressure drop is significantly larger than the pressure drop (order of GPa), it is considered that no elastic deformation occurs on the journal surface in the lubrication analysis, and only the effect of the elastic deformation on the bearing bore surface on the film thickness is considered. This module calculates the elastic deformation on the bearing bore surface using a flexible matrix method.
[0138] The flexible matrix (following equation) is the amount of elastic deformation displacement that occurs at (θ, z) when a unit pressure p(θ', z') acts on the bearing bore surface (θ', z').
[0139]
number
[0140] The flexible matrix can be obtained by Ansys finite element software. The calculation formula for the elastic deformation amount by the flexible matrix is as follows:
[0141]
number
[0142] Optionally, if the water film pressure of the stern bearing has not converged, an updated water film thickness can be calculated based on the geometric margin, the stern axis inclination amount and the structural deformation amount, the updated water film thickness can be set as the first water film thickness, and the step can be returned to calculating the water film pressure of the stern bearing based on the first water film thickness.
[0143] Optionally, if there is no balance between the load force and the input load, the step can be returned to by adjusting a first parameter to adjust the inclination amount of the stern axis, and calculating a first water film thickness of the stern bearing based on the geometric margin of the stern bearing and the inclination amount of the stern axis.
[0144] Specifically, if the load force and the input load are not balanced, the process returns to the step of calculating the first water film thickness, and the first water film thickness is updated by adjusting the first parameters, including, for example, the eccentricity ratio and the deflection angle, so that the load force and the input load are ultimately balanced.
[0145] Optionally, if the timer has not reached a first time, a first water film thickness may be updated based on the geometric margin, the stern axis tilt amount, the structural deformation amount and the bearing wear amount.
[0146] Specifically, if the timer has not reached the first hour, the first water film thickness is updated using the previously calculated geometric margin, stern axis inclination amount, structural deformation amount, and bearing wear amount, and the next lubrication analysis can be started.
[0147] Optionally, the structural deformation amount includes a flexural deformation amount and an elastic deformation amount of a shell bearing, and the realization method of updating the first water film thickness according to the geometric margin, the stern axis tilt amount, the structural deformation amount and the bearing wear amount includes:
[0148] Based on the geometric margin and the amount of inclination of the stern axis, the first film thickness h1 taking into account the journal inclination of the stern bearing is calculated using the following formula (1).
[0149]
number
[0150] Here, c is the clearance radius, c=Rr, R is the bearing radius, r is the journal radius, e x 0 is the eccentricity in the x direction of the journal at the mid-section, e y 0 is the eccentricity distance in the y direction of the journal mid-section, z is the axial coordinate, α x is the journal inclination angle in the x direction, α y is the journal inclination angle in the y direction, and θ is the circumferential angle coordinate.
[0151] Based on the deflection deformation amount, the water film thickness change amount h corresponding to each cross section when the stern bearing is loaded and deformed is calculated. iθ Calculate.
[0152] The first film thickness h1, the water film thickness change amount h iθ , the elastic deformation amount δ of the shell bearing E and the bearing wear amount h w The updated first water film thickness is calculated based on the above.
[0153] Specifically, the wear of the bearings is analyzed as follows.
[0154] According to the Archard wear equation, when two surfaces slide against each other with a relative velocity v and an applied pressure p c Wear amount h when subjected to w The calculation formula is as follows:
[0155]
number
[0156] Here, p c is the contact pressure, H c is the hardness of the relatively soft material, k is a constant, usually called the wear coefficient, and t1 is the wear time.
[0157] Optionally, the first film thickness h1 and the water film thickness change amount h iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w A method for calculating an updated first water film thickness based on the following:
[0158] The first film thickness h1, the water film thickness change amount h iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w Based on this, the updated first water film thickness h is calculated using the following equation (2).
[0159]
number
[0160] Specifically, the final water film thickness equation is:
[0161]
number
[0162] Next, the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the embodiment of the present invention will be described by way of an example.
[0163] The method provided by the embodiment of the present invention comprehensively considers the four elements of fluid support, magnetic support, solid elastic deformation and bearing wear, and the coupling action between each element and lubrication analysis. The simulation analysis algorithm model corresponding to the present invention includes a water-lubricated bearing mixed elastic hydrodynamic lubrication calculation module, a water film thickness calculation module considering structural deformation and bearing wear, and a Halbach permanent magnet array magnetic field simulation calculation module. Based on the above modules, a coupling analysis algorithm model of both structural deformation (affected by fluid pressure, contact pressure, magnetic loading force), surface wear and hydrodynamic lubrication can be established, which can provide technical support for the simulation of a water-lubricated stern bearing with a magnetic-hydrodynamic combined support type.
[0164] First, each module related to the embodiment of the present invention will be described below.
[0165] (1) Water-lubricated bearing mixed elastohydrodynamic lubrication calculation module
[0166] In this module, the average Reynolds equation is used as the control equation for the water-lubricated stern bearing water film region, which is as follows:
[0167]
number
[0168] Here, ∂ is the partial differential symbol, x and y are coordinates, ρ is the fluid (water) density, p is the pressure, h is the film thickness, and V x , V y are velocity components, and the calculation formulas for each flow factor (φ, which characterizes the coefficients correlating with the water film thickness, bearing shaft, and journal surface parameters, respectively) are as follows:
[0169]
number
[0170]
number
[0171]
number
[0172]
number
[0173] Here, H is the film thickness ratio, H=h / σ, σ is the total surface roughness, and other related coefficients are determined by the microscopic surface parameter γ of the bearing, and the corresponding relationships are shown in the table below.
[0174] [Table 1]
[0175] In this module, p is the water film pressure (variable, water film pressure distribution, spatial distribution, two-dimensional) that needs to be calculated, and all others are known. h (variable, water film thickness distribution, spatial distribution, two-dimensional) is calculated by the water film thickness calculation module, and V x , V y is determined by the actual situation, each flow factor φ is jointly determined by h and the microscopic surface parameter γ, and the density ρ and kinetic viscosity η are physical property parameters of the fluid (water) and can be understood as constants.
[0176] It is believed that the water film pressure p can be obtained by solving the equation corresponding to the control equation of the water film region of the water-lubricated stern bearing using a numerical solution method (finite difference), and the meshing of the desired fluid region with a single-layer mesh can meet the accuracy requirements of the numerical solution. An iterative equation for the water film pressure p (the following equation) is constructed, where k1 represents the number of iteration steps corresponding to the current step, which is the convergence process of accelerated calculation using the SOR method.
[0177]
number
[0178] To find the solution of the equation corresponding to the control equation of the water-lubricated stern bearing water film region, it is necessary to set the pressure boundary condition. The pressure boundary condition adopts the Reynolds boundary condition, which is relatively close to the actual situation and is the most widely used in the research. The Reynolds boundary condition considers that the entire water film is not always continuous, and the abnormal change in water film pressure is the natural result of the water film rupture, and the minimum water film thickness h min It is assumed that the water film will burst at a certain position after the burst, the water film pressure after the burst is the hole pressure, and the pressure change rate is also zero. That is, the following equation is given.
[0179]
number
[0180] The Reynolds boundary condition makes the lubricating medium between the beginning and end of the water film continuous, and the lubricating medium behind the end, the air flows in a rod shape. Setting the pressure boundary condition helps to make the lubrication and interface characteristic analysis of the stern bearing more accurate.
[0181] (2) A water film thickness calculation module that takes into account structural deformation and bearing wear.
[0182] In this module, the water film thickness of the water-lubricated stern bearing is determined by the geometric margin, and is also affected by the inclination and deflection of the journal, the elastic deformation of the bearing liner material, and the wear of the bearing inner bore surface.
[0183] 1) Stern shaft inclination, 2) Stern shaft deflection, 3) Elastic deformation of the bearing inner bore surface, 4) Micro-protrusion contact model, 5) Bearing wear.
[0184] From 1) to 5), the final water film thickness equation is given as follows:
[0185]
number
[0186] (3) Halbch permanent magnet array magnetic field simulation module.
[0187] According to the above explanation of the magnetic supporting characteristic analysis, the final formula is as follows:
[0188]
number
[0189] Second, FIG. 9 is a flow chart 2 of the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided by the present invention. As shown in FIG. 9, it includes the following steps:
[0190] Set S1, t=t0.
[0191] Here, t0 is the initial time.
[0192] S2, determine the magnetic field characteristics of the stern bearing area.
[0193] S3, calculate the magnetic attraction force.
[0194] S4: Set the input load, initial eccentricity, and deflection angle.
[0195] S5, calculate the water film thickness.
[0196] S6, calculate the water film pressure.
[0197] S7, calculate the contact force of the micro-protrusion.
[0198] S8, calculate the deflection deformation of the stern shaft.
[0199] S9, Calculate the elastic deformation of the shell bearing.
[0200] In S10, it is determined whether the water film pressure has converged. If it has converged, the process proceeds to S11. If it has not converged, the process returns to S5.
[0201] Specifically, the convergence criteria for the water film pressure are as follows:
[0202] The solution to the Reynolds equation is obtained using the Finite Difference Method (FDM). After discretizing the computational domain (water film domain) using equally spaced mesh nodes, operations such as transfer and reduction are performed on the equation to obtain a numerical solution, and finally the equation (the following equation) is obtained, which can be solved by an iterative method:
[0203]
number
[0204] In the above formula, k is a positive integer and represents the number of iteration steps, and i and j represent the sequence numbers of mesh nodes in two directions, respectively.
[0205] The criterion for the convergence of the water film pressure is given by the following formula.
[0206]
number
[0207] m and n represent the total number of mesh nodes in the two directions, respectively. If the above formula is satisfied, the iterative calculation of the water film pressure reaches convergence, and the iterative calculation continues in the opposite direction.
[0208] S11, Calculate the load force on the stern bearing.
[0209] In S12, it is determined whether the load force and the input load are balanced. If the load force and the input load are balanced, the process proceeds to S13. If the load force and the input load are not balanced, the process adjusts the eccentricity and the deflection angle, and the process returns to S5.
[0210] Specifically, the criteria for judging the load force and the balance between the loads are as follows:
[0211] Stern bearing load force P y can be expressed as follows:
[0212]
number
[0213] Here, P L y and P C y respectively represent the water film load force and the load force provided by the contact pressure of the micro-projections, and the calculation formula is as follows:
[0214]
number
[0215] Loading force P y and load W y The criterion for judging the balance with (specified, vertical direction) is the following equation, and if this equation is valid, it is considered that there is a balance between the load force and the load.
[0216]
number
[0217] S13, Calculate bearing wear.
[0218] S14, specified time step t E If it has been reached, proceed to S15. If it has not been reached, return to S2 and S4 after △t.
[0219] Please note that in the embodiment of the present invention, there is no restriction on the priority of executing S2 and S4.
[0220] S15, output the target result.
[0221] Specifically, the target results may be all intermediate and final result values in the lubrication analysis process, and so on.
[0222] The embodiment of the present invention establishes a lubrication analysis method for a stern bearing with a magnetic-fluid composite support structure based on the elastic fluid dynamic lubrication theory, the micro-asperity contact theory of friction-to-interface, the cantilever beam deflection curve displacement superposition algorithm and the Archard wear theory.
[0223] The lubrication analysis device for the stern bearing with magnetic-fluid composite support combination provided by the present invention will be described below. The lubrication analysis device for the stern bearing with magnetic-fluid composite support combination described below can be referred to the lubrication analysis method for the stern bearing with magnetic-fluid composite support combination described above.
[0224] FIG. 10 is a structural schematic diagram of the stern bearing lubrication analysis device based on magnetic-fluid composite support combination provided by the present invention. As shown in FIG. 10, the stern bearing lubrication analysis device 1000 based on magnetic-fluid composite support combination is:
[0225] a magnetic-fluid analysis module 1001 for starting a timer, performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, and performing a lubrication and interface characteristic analysis on the stern bearing, obtaining a lubrication support analysis result;
[0226] a structural deformation analysis module 1002 for performing a structural deformation analysis on the stern bearing based on the magnetic support analysis result and the lubrication support analysis result to obtain a structural deformation amount;
[0227] an acquisition module 1003 for correcting the water film thickness in the lubrication support analysis result according to the structural deformation amount, returning to the step of performing the lubrication and interface characteristic analysis for the stern bearing according to the corrected water film thickness, and obtaining the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction;
[0228] a first judgment module 1004 for judging whether the water film pressure of the stern bearing is converged based on the first water film pressure and the second water film pressure;
[0229] a second judgment module 1005 for determining the load force of the stern bearing according to the magnetic support analysis result and the lubrication support analysis result when the water film pressure of the stern bearing is converged;
[0230] A calculation module 1006 for calculating a bearing wear amount of the stern bearing based on the contact force of the micro-protrusion in the lubrication support analysis result when the load force is balanced with a preset input load;
[0231] and a processing module 1007 for, if the timer has not reached the first preset time, waiting for a second preset time, performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, performing a lubrication and interface characteristic analysis on the stern bearing, obtaining a lubrication support analysis result, and returning to the step of outputting a target result if the timer reaches the first time. Here, the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount.
[0232] In the magnetic-fluid composite support combination stern bearing lubrication analysis device provided in the embodiment of the present invention, a timer can be started to perform lubrication analysis on the stern bearing lubrication within a preset first time, and when the calculation of the current time step (first time) is completed, wear-related parameters are updated. In the specific lubrication analysis, a magnetic support characteristic analysis and a lubrication and interface characteristic analysis are performed on the stern bearing to be analyzed, and a magnetic support analysis result and a lubrication support analysis result are obtained. Then, a structural deformation analysis is performed on the stern bearing according to the magnetic support analysis result and the lubrication support analysis result, and a structural deformation amount is obtained. The water film thickness in the lubrication support analysis result is corrected according to the structural deformation amount. The lubrication and interface characteristic analysis is repeated according to the corrected water film thickness, and a first water film pressure and a second water film pressure corresponding to before and after the water film thickness correction are obtained. The first water film pressure and the second water film pressure are compared to judge whether the water film pressure of the stern bearing has converged. If it has converged, the load force of the stern bearing is obtained according to the magnetic support analysis result and the lubrication support analysis result, and the balance between the load force and the input load is judged. If the balance is achieved, the bearing wear amount of the stern bearing is calculated based on the contact force (interface characteristics) of the micro-protrusions in the lubrication support analysis results. In this case, if the timer has not reached the first hour, the process returns to the step of performing the magnetic support characteristic analysis and the lubrication and interface characteristic analysis for the stern bearing being analyzed, and the target result is output after the timer reaches the first hour. The target result is each intermediate value or result value in the above lubrication analysis process, and the embodiment of the present invention can effectively evaluate the lubrication degree, etc. of the magnetic-fluid composite supported stern bearing by using the target result.
[0233] Specifically, the magnetic-fluid analysis module 1001 is used in the following cases.
[0234] Calculate a first water film thickness of the stern bearing based on a geometric clearance of the stern bearing and an inclination amount of the stern axis;
[0235] Calculating a water film pressure at the stern bearing based on the first water film thickness;
[0236] calculating a contact force of a small protrusion in the stern bearing based on the first water film thickness and the water film pressure;
[0237] At least one of the first water film thickness, the water film pressure, and the contact force of the micro-protrusions is defined as the lubrication support analysis result.
[0238] The magnetic support analysis results include the magnetic attraction force of the stern bearing.
[0239] Specifically, the structural deformation analysis module 1002 is used in the following cases.
[0240] Calculating a deflection deformation amount of the stern bearing based on the water film pressure, the contact force of the small protrusions, and the magnetic attraction force;
[0241] Calculate an elastic deformation amount of the shell bearing of the stern bearing based on the water film pressure and the contact force of the small protrusion;
[0242] At least one of the deflection deformation amount and the elastic deformation amount of the shell bearing is defined as the structural deformation amount.
[0243] The processing module 1007 is also used in the following cases.
[0244] If the water film pressure of the stern bearing has not converged, an updated water film thickness is calculated based on the geometric margin, the stern axis inclination amount, and the structural deformation amount, the updated water film thickness is set as the first water film thickness, and the process returns to the step of calculating the water film pressure of the stern bearing based on the first water film thickness.
[0245] The processing module 1007 is also used in the following cases.
[0246] If the load force and the input load are not balanced, the first parameter is adjusted to adjust the inclination amount of the stern axis, and the process returns to the step of calculating the first water film thickness of the stern bearing based on the geometric margin of the stern bearing and the inclination amount of the stern axis.
[0247] The processing module 1007 is also used in the following cases.
[0248] If the timer has not reached the first time, a first water film thickness is updated based on the geometric clearance, the stern axis tilt amount, the structural deformation amount, and the bearing wear amount.
[0249] The structural deformation amount includes the bending deformation amount and the elastic deformation amount of the shell bearing.
[0250] Specifically, the processing module 1007 is also used in the following cases.
[0251] Based on the geometric margin and the amount of inclination of the stern axis, the first film thickness h1 taking into account the journal inclination of the stern bearing is calculated using the following formula (1).
[0252]
number
[0253] Here, c is the clearance radius, c=Rr, R is the bearing radius, r is the journal radius, e x 0 is the eccentricity in the x direction of the journal at the mid-section, e y 0 is the eccentricity distance in the y direction of the journal mid-section, z is the axial coordinate, α x is the journal inclination angle in the x direction, α y is the journal inclination angle in the y direction, and θ is the circumferential angle coordinate.
[0254] Based on the deflection deformation amount, the water film thickness change amount h corresponding to each cross section when the stern bearing is loaded and deformed is calculated. iθ Calculate.
[0255] The first film thickness h1, the water film thickness change amount h iθ , the elastic deformation amount δ of the shell bearing E and the bearing wear amount h w Based on this, the updated first water film thickness is calculated.
[0256] The processing module 1007 is also used in the following cases.
[0257] The first film thickness h1, the water film thickness change amount h iθ , the elastic deformation amount δ of the shell bearing E and the bearing wear amount h w Based on this, the updated first water film thickness h is calculated using the following equation (2).
[0258]
number
[0259] 11 is a structural schematic diagram of an electronic device provided by the present invention. As shown in FIG. 11, the electronic device may include a processor 1110, a communications interface 1120, a memory 1130 and a communications bus 1140, in which the processor 1110, the communications interface 1120 and the memory 1130 communicate with each other through the communications bus 1140. To execute the stern bearing lubrication analysis method based on magnetic-fluid composite support coupling, the processor 1110 can call the logic command of the memory 1130, which includes:
[0260] Start a timer, perform a magnetic support characteristic analysis on the stern bearing to be analyzed, obtain a magnetic support analysis result, perform a lubrication and interface characteristic analysis on the stern bearing, obtain a lubrication support analysis result,
[0261] Based on the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing to obtain a structural deformation amount;
[0262] Correct the water film thickness in the lubrication support analysis result based on the structural deformation amount, and return to the step of performing the lubrication and interface characteristic analysis for the stern bearing based on the corrected water film thickness, and obtain the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction;
[0263] Determine whether the water film pressure of the stern bearing is converging based on the first water film pressure and the second water film pressure;
[0264] When the water film pressure of the stern bearing is converged, a load force of the stern bearing is calculated based on the magnetic support analysis result and the lubrication support analysis result;
[0265] When the load force is balanced with a preset input load, a bearing wear amount of the stern bearing is calculated based on the contact force of the micro-protrusion in the lubrication support analysis result;
[0266] If the timer has not reached the first preset time, a second preset time is elapsed, and the process returns to the step of performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, performing a lubrication and interface characteristic analysis on the stern bearing, and obtaining a lubrication support analysis result;
[0267] When the timer reaches the first time, output a target result, where the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount.
[0268] Also, the logic commands in the memory 1130 may be stored in a computer readable storage medium if they are realized in the form of a software functional unit and can be sold or used as an independent product. Based on this understanding, the technical solution of the present invention can be essentially or in part contributed to the prior art, or a part of the technical solution can be embodied in the form of a software product, which is stored in a storage medium and includes some commands to enable a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method described in each embodiment of the present invention. The storage medium is various media that can store program code, such as a U disk, a portable hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk, or an optical disk.
[0269] The present invention also provides a computer program product, the computer program product includes a computer program, the computer program can be stored in a non-transitory computer readable storage medium, and when the computer program is executed by a processor, the computer can execute a stern bearing lubrication analysis method based on magnetic-liquid composite support coupling provided by each of the above methods, the method includes:
[0270] Start a timer, perform a magnetic support characteristic analysis on the stern bearing to be analyzed, obtain a magnetic support analysis result, perform a lubrication and interface characteristic analysis on the stern bearing, obtain a lubrication support analysis result,
[0271] Based on the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing to obtain a structural deformation amount;
[0272] Correct the water film thickness in the lubrication support analysis result based on the structural deformation amount, and return to the step of performing the lubrication and interface characteristic analysis for the stern bearing based on the corrected water film thickness, and obtain the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction;
[0273] Determine whether the water film pressure of the stern bearing is converging based on the first water film pressure and the second water film pressure;
[0274] When the water film pressure of the stern bearing is converged, a load force of the stern bearing is calculated based on the magnetic support analysis result and the lubrication support analysis result;
[0275] When the load force is balanced with a preset input load, a bearing wear amount of the stern bearing is calculated based on the contact force of the micro-protrusion in the lubrication support analysis result;
[0276] If the timer has not reached the first preset time, a second preset time is elapsed, and the process returns to the step of performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, performing a lubrication and interface characteristic analysis on the stern bearing, and obtaining a lubrication support analysis result;
[0277] When the timer reaches the first time, output a target result, where the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount.
[0278] The present invention also provides a non-transitory computer-readable storage medium, in which a computer program is stored, and when the computer program is executed by a processor, a stern bearing lubrication analysis method based on magnetic-fluid composite support coupling provided in each of the above methods can be realized, the method including:
[0279] Start a timer, perform a magnetic support characteristic analysis on the stern bearing to be analyzed, obtain a magnetic support analysis result, perform a lubrication and interface characteristic analysis on the stern bearing, obtain a lubrication support analysis result,
[0280] Based on the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing to obtain a structural deformation amount;
[0281] Correct the water film thickness in the lubrication support analysis result based on the structural deformation amount, and return to the step of performing the lubrication and interface characteristic analysis for the stern bearing based on the corrected water film thickness, and obtain the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction;
[0282] Determine whether the water film pressure of the stern bearing is converging based on the first water film pressure and the second water film pressure;
[0283] When the water film pressure of the stern bearing is converged, a load force of the stern bearing is calculated based on the magnetic support analysis result and the lubrication support analysis result;
[0284] When the load force is balanced with a preset input load, a bearing wear amount of the stern bearing is calculated based on the contact force of the micro-protrusion in the lubrication support analysis result;
[0285] If the timer has not reached the preset first time, a preset second time is elapsed, and the process returns to the step of performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, performing a lubrication and interface characteristic analysis on the stern bearing, and obtaining a lubrication support analysis result;
[0286] When the timer reaches the first time, output a target result, where the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount.
[0287] The above-described embodiment of the device is merely an example, and the units described as separate components may or may not be physically separate, and the components shown as units may or may not be physically separate, i.e., they may be located in one place or distributed among multiple network elements. The purpose of the embodiment can be realized by selecting a part or all of the modules according to actual needs. Those skilled in the art can understand and implement the embodiment without creative work.
[0288] From the above description of the embodiments, those skilled in the art can clearly understand that each embodiment can be realized by software and a necessary common hardware platform, and of course can also be realized by hardware. Based on this understanding, the above technical solutions can be essentially or the part that contributes to the prior art can be embodied in the form of a software product, which can be stored in a storage medium such as a ROM / RAM, a magnetic disk, an optical disk, etc., and includes some commands to execute the method described in each embodiment or a certain part of the embodiment.
[0289] Finally, the above embodiments are only used to describe the technical solutions of the present invention, and are not intended to limit it. Although the present invention has been described in detail with reference to the above embodiments, those skilled in the art may modify the technical solutions described in the above embodiments or replace some of the technical features with equivalents, and these modifications or replacements do not cause the essence of each technical solution to deviate from the spirit and scope of the technical solutions of each embodiment of the present invention.
Claims
1. A stern bearing lubrication analysis method based on a magnetic-fluid composite support coupling, comprising: Start a timer, perform a magnetic support characteristic analysis on the stern bearing to be analyzed, obtain a magnetic support analysis result, perform a lubrication and interface characteristic analysis on the stern bearing, obtain a lubrication support analysis result, Based on the magnetic support analysis result and the lubrication support analysis result, a structural deformation analysis is performed on the stern bearing to obtain a structural deformation amount; Correct the water film thickness in the lubrication support analysis result based on the structural deformation amount, and return to the step of performing lubrication and interface characteristic analysis on the stern bearing based on the corrected water film thickness, and obtain a first water film pressure and a second water film pressure corresponding to before and after the water film thickness correction; Determine whether the water film pressure of the stern bearing is converging based on the first water film pressure and the second water film pressure; When the water film pressure of the stern bearing is converged, a load force of the stern bearing is calculated based on the magnetic support analysis result and the lubrication support analysis result; When the load force is balanced with a preset input load, a bearing wear amount of the stern bearing is calculated based on the contact force of the micro-protrusion in the lubrication support analysis result; If the timer has not reached the first preset time, a second preset time is elapsed, and the process returns to the step of performing a magnetic support characteristic analysis on the stern bearing to be analyzed, obtaining a magnetic support analysis result, performing a lubrication and interface characteristic analysis on the stern bearing, and obtaining a lubrication support analysis result; When the timer reaches the first time, output a target result, where the target result includes at least one of the magnetic support analysis result, the lubrication support analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount; Wherein, performing lubrication and interface characteristic analysis on the stern bearing to obtain a lubrication support analysis result includes: Calculating a first water film thickness at the stern bearing based on a geometric margin of the stern bearing and an inclination amount of the stern axis; Calculating a water film pressure at the stern bearing based on the first water film thickness; Calculating a contact force of a small protrusion in the stern bearing based on the first water film thickness and the water film pressure; At least one of the first water film thickness, the water film pressure, and the contact force of the micro-projections is defined as the lubrication support analysis result; The magnetic support analysis result includes a magnetic attraction force of the stern bearing. The method of performing a structural deformation analysis on the stern bearing to obtain a structural deformation amount based on the magnetic support analysis result and the lubrication support analysis result includes the following: Calculating a deflection deformation amount of the stern bearing based on the water film pressure, the contact force of the small protrusions, and the magnetic attraction force; Calculate an elastic deformation amount of the shell bearing of the stern bearing based on the water film pressure and the contact force of the small protrusion; The stern bearing lubrication analysis method based on the magnetic-fluid composite support coupling is characterized in that at least one of the deflection deformation amount and the elastic deformation amount of the shell bearing is set as the structural deformation amount.
2. The method further comprises:
2. The stern bearing lubrication analysis method based on magnetic-fluid composite support coupling according to claim 1, characterized in that, when the water film pressure of the stern bearing has not converged, an updated water film thickness is calculated based on the geometric margin, the stern axis tilt amount and the structural deformation amount, the updated water film thickness is set as the first water film thickness, and the method returns to the step of calculating the water film pressure of the stern bearing based on the first water film thickness.
3. The method further comprises:
2. The stern bearing lubrication analysis method based on magnetic-fluid composite support coupling as claimed in claim 1, characterized in that, under a situation where the load force and the input load are not balanced, the step of adjusting the first parameter to adjust the inclination amount of the stern axis, thereby returning to the step of calculating the first water film thickness of the stern bearing based on the geometric margin of the stern bearing and the inclination amount of the stern axis.
4. The method further comprises:
2. The stern bearing lubrication analysis method based on magnetic-fluid composite support coupling according to claim 1, characterized in that if the timer has not reached the first time, the first water film thickness is updated according to the geometric margin, the inclination amount of the stern axis, the structural deformation amount and the bearing wear amount.
5. The structural deformation amount includes a deflection deformation amount and a shell bearing elastic deformation amount, and updating the first water film thickness based on the geometric margin, the inclination amount of the stern axis, the structural deformation amount, and the bearing wear amount includes: Based on the geometric margin and the inclination amount of the stern axis, the first film thickness h taking into account the journal inclination of the stern bearing is calculated using the following formula (1). 1 Calculate [0045] Here, c is the radius of the gap, c = R-r, R is the radius of the bearing, r is the radius of the journal, e x 0 is the eccentricity in the x direction of the journal at the mid-section, e y 0 is the eccentric distance in the y direction of the journal's intermediate section, z is the axial coordinate, α x is the journal inclination angle in the x direction, α y is the journal inclination angle in the y direction, θ is the circumferential angle coordinate, Based on the amount of deflection, the amount of change in water film thickness per cross section when the stern bearing is deformed under load h iθ Calculate The first thickness h 1 , the water film thickness change amount h iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w The stern bearing lubrication analysis method based on magnetic-fluid composite support coupling according to claim 4, characterized in that the updated first water film thickness is calculated based on the above formula.
6. The first thickness h 1 , the water film thickness change amount h iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w Calculate an updated first water film thickness based on the The first thickness h 1 , the water film pressure change amount h iθ , the shell bearing elastic deformation amount δ E and the bearing wear amount h w The stern bearing lubrication analysis method based on magnetic-fluid composite support coupling according to claim 5, characterized in that: the updated first water film thickness h is calculated using the following equation (2) based on: [0046]
7. A stern bearing lubrication analysis device based on a magnetic-fluid composite support coupling, comprising: a magnetic-fluid analysis module for starting a timer, performing a magnetic support characteristic analysis on the stern bearing to be analyzed to obtain a magnetic support analysis result, and performing a lubrication and interface characteristic analysis on the stern bearing to obtain a lubrication support analysis result; a structural deformation analysis module for performing a structural deformation analysis on the stern bearing based on the magnetic support analysis result and the lubrication support analysis result to obtain a structural deformation amount; an acquisition module for correcting the water film thickness in the lubrication support analysis result according to the structural deformation amount, returning to the step of performing the lubrication and interface characteristic analysis for the stern bearing according to the corrected water film thickness, and obtaining the first water film pressure and the second water film pressure corresponding to before and after the water film thickness correction; A first judgment module for judging whether the water film pressure of the stern bearing is converged based on the first water film pressure and the second water film pressure; a second judgment module for determining the load force of the stern bearing according to the magnetic support analysis result and the lubrication support analysis result when the water film pressure of the stern bearing is converged; a calculation module for calculating a bearing wear amount of the stern bearing based on the contact force of the micro-protrusions in the lubrication support analysis result when the load force and a preset input load are balanced; a processing module for outputting a target result when the timer reaches the first time, wherein the target result includes at least one of the magnetic support analysis result, the lubrication and interface characteristic analysis result, the structural deformation amount, the load force of the stern bearing, and the bearing wear amount; Wherein, the magnetic-fluid analysis module is used in the following cases: Calculate a first water film thickness of the stern bearing based on a geometric margin of the stern bearing and an amount of inclination of the stern axis; calculating a water film pressure at the stern bearing based on the first water film thickness; calculating a contact force of a small protrusion in the stern bearing based on the first water film thickness and the water film pressure; At least one of the first water film thickness, the water film pressure, and the contact force of the micro-projections is defined as the lubrication support analysis result; The magnetic support analysis result includes the magnetic attraction force of the stern bearing, and the structural deformation analysis module is specifically used in the following cases: Calculating a deflection deformation amount of the stern bearing based on the water film pressure, the contact force of the small protrusions, and the magnetic attraction force; Calculate an elastic deformation amount of the shell bearing of the stern bearing based on the water film pressure and the contact force of the small protrusion; The stern bearing lubrication analysis device based on the magnetic-fluid composite support coupling is characterized in that the structural deformation amount is at least one of the flexural deformation amount and the elastic deformation amount of the shell bearing.
8. An electronic device comprising: a memory; a processor; and a computer program stored on the memory and executable on the processor, the electronic device realizing a stern bearing lubrication analysis method based on a magnetic-fluid composite support coupling according to any one of claims 1 to 6 when the processor executes the program.
Citation Information
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