CN111475893B - A method for constructing space fault field model based on product 3D model - Google Patents

Abstract

The invention relates to a method for constructing a space fault field model based on a three-dimensional model of a product. Based on the concept of field, the method visualizes the distribution of failure modes of product components, and radiates to the product surface to form a failure field, thereby providing a basis for product maintainability design. It includes three steps: (1) Calculate the risk index of each unit and each failure mode of the product, that is, determine the risk index of each failure mode of each component unit according to the results of the failure mode impact and criticality analysis; (2) Calculate The spatial fault field strength of the product component unit is calculated by combining the failure mode risk index and the unit maintenance difficulty; (3) calculating the product surface fault field strength, that is, converting the irregular unit into a regular three-dimensional wireframe, and then converting the unit spatial fault field The strong projection to the product surface forms the fault field distribution model. Based on this model, the design of product maintenance cover can be guided.

Description

A method for constructing space fault field model based on product 3D model

Technical field

The present invention is a method for constructing a space fault field model based on a three-dimensional model of a product, which realizes the visual expression of product fault information on the product surface, thereby providing guidance for the design of product maintenance hatches. The invention belongs to the technical field of reliability engineering.

Background technique

The design of the maintenance cover is one of the important aspects in the design. In order to ensure the timely maintenance and repair of the product during use, the surface of the product needs to have a cover. The quality of the flap design is directly related to the maintainability of the product. Although the current flap design simply considers the issues of economy and accessibility, there is no good method to accurately guide the maintenance flap design. In view of this, the present invention introduces the concept of "field", and designs a method for constructing a spatial fault field model based on a three-dimensional product model in combination with the results of product failure mode influence and criticality analysis (FMECA). This method can comprehensively consider factors such as the occurrence probability and severity category of each failure mode of the product, and express it on the product surface, superimpose it to form the failure field strength, and then visualize the distribution of failure information on the product surface to guide designers. Reasonably design the position and size of the flap.

SUMMARY OF THE INVENTION

The purpose of the present invention is to realize the visual expression of product failure information on the product surface, and to provide guidance for the design of the product maintenance cover.

A method for constructing a space fault field model based on a three-dimensional model of a product provided by the present invention mainly includes the following steps:

Step 1: Calculate the risk index of each unit and each failure mode of the product.

According to the results of product failure mode impact and criticality analysis (FMECA), the risk index of each component unit and each failure mode of the product is calculated, which is determined by the failure mode occurrence probability level, severity level, and detection difficulty level.

Step 2: Calculate the space fault field strength of the product component unit.

Spatial fault field strength is a quantitative index that comprehensively describes the risk index of unit failure mode and maintenance difficulty. Among them, the unit space fault field strength is superimposed by the fault field strength of the unit fault mode. This step contains 3 sub-steps:

Step 1: Calculate the failure field strength of each failure mode in the product constituent unit, which is determined by the risk index of each failure mode.

Step 2: Calculate the maintenance difficulty of each product component unit. For product components, maintenance difficulty can be measured by accessibility and disassembly. The better the accessibility, the lower the maintenance difficulty; the better the disassembly, the lower the maintenance difficulty.

Step 3: Calculate the spatial fault field strength of each product component unit. The unit space fault field strength is determined by the superposition of the failure mode field strength determined in sub-step 1 and sub-step 2 of this step and the unit maintenance difficulty. The unit fault field strength is proportional to the failure mode field strength and inversely proportional to the unit maintenance difficulty.

Step 3: Calculate the fault field strength on the product surface.

The surface fault field strength is formed by the superposition of the fault radiation value of the space fault field strength of some product component units on the product surface.

This step contains 4 sub-steps:

Step 1: Based on the method of step 1 of ZL 201410778944.1 "A Product Component Failure Visualization Method Based on 3D Digital Model", the irregular product is transformed into a regular three-dimensional cuboid wireframe model.

Step 2: Using the principle of minimum containment, convert the product component unit into a three-dimensional cylinder, and then determine its center of gravity, bottom surface radius, cylinder height and the central axis of the cylinder, and determine the cylinder fault field strength according to the unit space fault field strength .

(1) Taking the center of gravity of the product as the origin O, establish a three-dimensional Cartesian coordinate system D along the three directions of the length, width and height of the cuboid, denoted as (X, Y, Z);

(2) Taking the center of gravity of the element as the origin o, establish a three-dimensional sub-coordinate system d along the X-axis, Y-axis, and Z-axis directions of the coordinate system D, denoted as (x, y, z);

(3) Using the principle of minimum containment, take the center of gravity of the unit as the center of gravity of the three-dimensional cylinder, and use the x-axis, y-axis, and z-axis as the central axes to construct a cylinder, denoted as Cx, Cy, and Cz, and compare the volumes of the three cylinders , take the cylinder with the smallest volume as the three-dimensional cylinder corresponding to the product unit, denoted as C|k (k=x, y, z), the radius of the cylinder as r, and the height as H _C .

Note: k=x indicates that the volume of the cylinder constructed with the x-axis as the central axis is the smallest, and so on.

(4) Assign the unit space fault field strength to the corresponding cylinder C|k, that is, the fault field strength of the cylinder C|k is equal to the unit space fault field strength of the corresponding product.

Step 3: Calculate the projected area of the cylinder on the product surface.

The projection direction is specified as follows:

(1) The cross section S of the center of the cylinder (S is the cross section made with the center of gravity of the cylinder as the center of the circle and perpendicular to the k-axis of the central axis, that is, the circle with the center as the center of the cylinder and the radius of r): positive along the k-axis, The negative direction is projected directly to the product surface, and its projection is the cross-sectional projection area.

(2) Side of the cylinder: Take the section of the central axis of the cylinder (which is a rectangle with a length of H _C and a width of 2r), and project it onto the product surface along the radial direction of the cross-section S, that is, 360° onto the product surface. When radiating to the surface of the product, the projection area should deduct the area that cannot be projected, such as the windows and cabin doors of civil aviation aircraft.

Step 4: Calculate the radiation field from the cell to the product surface.

(1) Radiation field of the cross section S at the center of the cylinder: First, calculate the absolute distance of the projection plane of the center O _D of the cross section S along the positive and negative directions of the k-axis, denoted as d ⁺ , d ^- ; then, calculate the cross section S The radiation fields in the positive and negative directions, respectively, are proportional to the unit space fault field strength and inversely proportional to the absolute distance.

然后，计算圆柱体故障场强在产品表面的辐射场，它与圆柱体故障场强成正比，与d_i成反比。(2) Radiation field on the side of the cylinder: First, calculate the distance from the center of gravity of the cylinder to the surface of the product along the radial direction of the cross-section S. At this time, an angle ε can be set (ε is divisible by 360, and ε must be large enough to ensure the same The surface will not be repeatedly projected by the same side), every time the radius of the cross-section S rotates along the cross-section ε°, the distance from the center of gravity of the cylinder along the radial direction of the cross-section S to the product surface is calculated, and a distance array can be obtained.

Then, the radiation field of the cylinder fault field strength on the product surface is calculated, which is proportional to the cylinder fault field strength and _inversely proportional to di.

Step 5: Calculate the fault field strength on the product surface.

Due to the large number of product components, the spatial fault field strength of each component unit is projected onto the product surface to form a radiation field. It is necessary to further superimpose the product surface fault field strength to provide a basis for the design of product maintenance covers.

(1) Take any point f (f=1,2,...,n) on the surface of the product, and calculate the sum of all the radiation values projected to this point

(2) Normalization processing to determine the fault field strength of the product surface point f (f=1,2,...,n)

与故障场强颜色条进行对比，取产品表面上点f(f＝1,2,…,n)的故障场强对应的颜色值，对产品对应位置进行着色，从而得到产品表面故障场强分布。(3) Set the fault field strength

Compare with the color bar of the fault field strength, take the color value corresponding to the fault field strength of the point f (f=1,2,...,n) on the product surface, and color the corresponding position of the product, so as to obtain the fault field strength distribution on the product surface .

Based on the above steps 1 to 3, the product can be colored, and then the fault field intensity distribution on the surface of the product can be obtained. Based on this distribution, the designer can further design the service hatch.

Description of drawings

Fig. 1 Method flow chart

Figure 2 Example of a 3D cuboid wireframe model of a product (a) Product (b) Cuboid wireframe

Fig. 3 Example of Cartesian coordinate system based on product 3D cuboid wireframe model

Figure 4 Example of a 3D sub-coordinate system of a unit

Fig. 5 Example of minimum accommodating cylinder C|k

Figure 6 Example of the projection area of the cross section S of the cylinder in the positive and negative directions of the x-axis

Figure 7 Example of the projection area of the cylinder side on the product surface (a) ε° projection area (b) 360° projection area

Figure 8 Fault field strength color bar

Fig. 9 Distribution of fault field on product surface

Detailed ways

The process flow of the method of the present invention is shown in FIG. 1 . In order to make the features and advantages of the present invention more clearly understood, the following detailed description is given in conjunction with the accompanying drawings and cases. The selected case of the present invention is a product P containing 3 constituent units. The specific implementation steps are:

Step 1: Calculate the risk index of each unit and each failure mode of the product.

According to the results of product failure mode impact and criticality analysis (FMECA), the risk index of each component unit and each failure mode of the product is calculated, which is determined by the failure mode occurrence probability level, severity level, and detection difficulty level.

The product FMECA results can be expressed in Table 1, from which the probability level, severity level, and detection difficulty level of each unit and each failure mode can be obtained, and then the risk index RPN can be calculated. The formula for calculating RPN is as follows:

Table 1. FMECA results of products

Note: In GJB/1391, the value ranges of occurrence probability level, severity level, and detection difficulty level are defined, all of which are {1,2,3,…,10}.

RPN=ESR*OPR*DDR (1)

Among them, ESR represents the severity level, OPR represents the occurrence probability level, and DDR represents the detection difficulty level.

[Example] The FMECA results of case product P are shown in Table 2.

Table 2 shows the FMECA results of product P

Step 2: Calculate the space fault field strength of the product component unit.

Spatial fault field strength is a quantitative index that comprehensively describes the risk index of unit failure mode and maintenance difficulty. Among them, the unit space fault field strength is superimposed by the fault field strength of the unit fault mode. This step contains 3 sub-steps:

Step 1: Calculate the failure field strength for each failure mode in product component unit i. It is determined by the risk index for each failure mode. The higher the risk index, the more serious the failure consequences and the higher the failure field strength. The formula for calculating the fault field strength in the fault mode is as follows:

表示为单元i故障模式FM_ij的故障场强，RPN_ij为故障模式的风险指数。in,

Denoted as the fault field strength of unit i failure mode FM _ij , RPN _ij is the risk index of failure mode.

[Example] The calculation results of the failure mode failure field strength of the case product P are shown in Table 3.

Table 3 Failure Mode Failure Field Strength of Product P

unit name failure mode severity level Occurrence probability level Difficulty level of detection risk index fault field strength Unit 1 FM11 5 4 9 180 0.18 Unit 1 FM12 6 4 2 48 0.048 Unit 1 FM13 6 4 4 96 0.096 Unit 1 FM14 8 1 1 8 0.008 Unit 2 FM21 2 8 1 16 0.016 Unit 2 FM22 6 6 6 216 0.216 Unit 2 FM23 5 4 5 100 0.1 Unit 3 FM31 2 8 9 144 0.144 Unit 3 FM32 1 7 6 42 0.042 Unit 3 FM33 8 6 8 384 0.384 Unit 3 FM34 4 6 2 48 0.048 Unit 3 FM35 8 8 8 512 0.512

Step 2: Calculate the maintenance difficulty of each product component unit i. For product components, maintenance difficulty can be measured by accessibility and disassembly. The better the accessibility, the lower the maintenance difficulty; the better the disassembly, the lower the maintenance difficulty.

The maintenance difficulty MD _i of unit i is specifically defined as follows:

Among them, RED _i is the attainable difficulty level of unit i, and RMD _i is the detachable difficulty level of unit i. The specific scoring criteria are shown in Tables 4 and 5.

Table 4 Definition of the attainable difficulty level of the unit

Table 5 Definition of Unit Detachable Difficulty Level

[Example] The calculation results of the failure mode failure field strength of the case product P are shown in Table 6.

Table 6 Maintenance difficulty of product P

unit name Achievable difficulty level Detachable difficulty level Maintenance difficulty Unit 1 extremely difficult (10) more difficult (8) 0.80 Unit 2 General (6) more difficult (8) 0.48 Unit 3 easier (4) General (6) 0.24

Step 3: Calculate the spatial fault field strength of each product component unit i. The unit space fault field strength is determined by the superposition of the failure mode field strength determined in sub-step 1 and sub-step 2 of this step and the unit maintenance difficulty. The unit fault field strength is proportional to the failure mode field strength and inversely proportional to the unit maintenance difficulty. Its calculation formula is as follows:

表示单元i的故障场强，J_i表示单元i的故障模式总数。in,

represents the fault field strength of unit i, and J _i represents the total number of failure modes of unit i.

[Example] The calculation results of the failure mode failure field strength of the case product P are shown in Table 7.

Table 7. The fault field strength of each unit of product P

unit name The sum of the fault field strength of the fault mode Maintenance difficulty fault field strength Unit 1 0.332 0.80 0.4150 Unit 2 0.332 0.48 0.6917 Unit 3 1.13 0.24 4.7083

Step 3: Calculate the fault field strength on the product surface. The surface fault field strength is formed by the superposition of the fault radiation value of the space fault field strength of some product component units on the product surface. This step contains 4 sub-steps:

Step 1: Based on the method of step 1 of ZL 201410778944.1 "A Product Component Failure Visualization Method Based on 3D Digital Model", the irregular product is transformed into a regular three-dimensional cuboid wireframe model.

An example graph is shown in Figure 2.

Step 2: Using the principle of minimum containment, convert the product component unit i into a three-dimensional cylinder, and then determine its center of gravity, bottom surface radius, cylinder height, and the central axis of the cylinder, and determine the cylinder fault field according to the unit space fault field strength. powerful.

(1) Taking the center of gravity of the product as the origin O, establish a three-dimensional Cartesian coordinate system D along the three directions of the length, width and height of the cuboid, denoted as (X, Y, Z).

An example graph is shown in Figure 3.

(2) Take the center of gravity of the unit i as the origin o, and establish a three-dimensional sub-coordinate system d along the X-axis, Y-axis, and Z-axis directions of the coordinate system D, denoted as (x, y, z).

An example graph is shown in Figure 4.

(3) Using the principle of minimum containment, take the center of gravity of the unit i as the center of gravity of the three-dimensional cylinder, and take the x-axis, y-axis, and z-axis as the central axes, respectively, to construct a cylinder, denoted as Cx, Cy, and Cz, and compare the three cylinders Take the cylinder with the smallest volume as the three-dimensional cylinder corresponding to the product unit, denoted as C|k (k=x, y, z), the radius of the cylinder as r, and the height as H _C .

Note: k=x indicates that the volume of the cylinder constructed with the x-axis as the central axis is the smallest, and so on.

An example of a minimum containing cylinder C|k is shown in Figure 5, where k=x.

(4) Assign the unit space fault field strength to the cylinder C|k corresponding to the unit i, that is, the fault field strength of the cylinder C|k is equal to the space fault field strength of the unit i.

Step 3: Calculate the projected area of the cylinder of unit i on the product surface. The projection direction is specified as follows:

(1) The cross section S of the center of the cylinder (S is the cross section made with the center of gravity of the cylinder as the center of the circle and perpendicular to the k-axis of the central axis, that is, the circle with the center as the center of the cylinder and the radius of r): positive along the k-axis, The negative direction is projected directly to the surface, and its projection is the cross-sectional projection area.

An example graph is shown in Figure 6.

(2) Side of the cylinder: Take the section of the central axis of the cylinder (which is a rectangle with a length of H _C and a width of 2r), and project it onto the product surface along the radial direction of the cross-section S, that is, 360° onto the product surface. When radiating to the surface of the product, the projection area should deduct the area that cannot be projected, such as the windows and cabin doors of civil aviation aircraft.

An example graph is shown in Figure 7.

Step 4: Calculate the radiation field from unit i to the product surface.

然后，计算横截面S分别在正、负方向的辐射场，与单元空间故障场强成正比、与绝对距离成反比。(1) Radiation field of the cross section S of the center of the cylinder: First, calculate the absolute distance of the projection plane of the center O _D of the cross section S along the positive and negative directions of the k-axis, denoted as

Then, the radiation fields of the cross section S in the positive and negative directions are calculated, which are proportional to the unit space fault field strength and inversely proportional to the absolute distance.

的计算公式如下：· Positive radiation field

The calculation formula is as follows:

表示单元i的故障场强，

表示单元i的横截面S的圆心O_D沿k轴正方向投影面的绝对距离。in,

represents the fault field strength of unit i,

It represents the absolute distance of the projection plane of the center OD of the cross-section _S of the unit i along the positive direction of the k-axis.

的计算公式如下：·Negative radiation field

The calculation formula is as follows:

表示单元i的横截面S的圆心O_D沿k轴负方向投影面的绝对距离。in,

It represents the absolute distance of the projection plane of the center OD of the cross-section _S of the unit i along the negative direction of the k-axis.

然后，计算圆柱体侧面故障场强在产品表面的辐射场，它与圆柱体故障场强成正比，与d_ie成反比。(2) Radiation field on the side of the cylinder: First, calculate the distance from the center of gravity of the cylinder of unit i to the product surface along the radial direction of the cross-section S. At this time, an angle ε _i can be set (ε _i is divisible by 360, and ε _i It needs to be large enough to ensure that the same surface will not be repeatedly projected by the same side), every time the radius of the cross-section S rotates along the cross-section ε°, the distance from the center of gravity of the cylinder to the product surface along the radial direction of the cross-section S is calculated. get a distance array

Then, calculate the radiation field of the cylinder side fault field strength on the product surface, which is proportional to the cylinder fault field strength and _inversely proportional to die.

The formula for calculating the radiation field in the (ε _i ×e)° direction is as follows:

表示单元i的圆柱体侧面在(ε_i×e)°方向的辐射场；d_ie表示单元i的中心轴截面的中心沿(ε_i×e)°方向到产品表面的距离。in,

Represents the radiation field of the cylindrical side of the unit i in the (ε _i ×e)° direction; d _ie represents the distance from the center of the central axis section of the unit i to the product surface along the (ε _i ×e)° direction.

Step 5: Calculate the fault field strength on the product surface.

Due to the large number of product components, the spatial fault field strength of each component unit is projected to the product surface to form a radiation field. It is necessary to further superimpose and calculate the surface fault field strength to provide a basis for the design of product maintenance covers.

公式如下：(1) Take any point f (f=1,2,...,n) on the surface of the product, and calculate the sum of all the radiation values projected to this point

The formula is as follows:

Among them, If represents the unit set with radiation field at point _f on the product surface; μ _i =1 means that the cross section S of unit i has radiation field at point f along the positive direction of the k-axis, and no radiation at point f along the negative direction of the k-axis Field; μ _i = 0 means that the cross section S of unit i has no radiation field at point f along the positive direction of the k-axis, and there is a radiation field at point f along the negative direction of the k-axis

处理公式如下：(2) Further normalization is performed to determine the fault field strength of the point f (f=1,2,...,n) on the product surface

The processing formula is as follows:

与故障场强颜色条(见图8)进行对比，取产品表面点f(f＝1,2,…,n)的故障场强对应的颜色值，并对产品表面上的投影区域进行着色。(3) Set the fault field strength

Compare with the color bar of fault field strength (see Figure 8), take the color value corresponding to the fault field strength of the product surface point f (f=1,2,...,n), and color the projected area on the product surface.

Based on the above steps 1 to 3, the surface of the product can be colored, and then the fault field intensity distribution map on the surface of the product can be obtained, as shown in Figure 9. Based on this distribution, the designer can further design the service hatch. As shown in Figure 9, the fault field strength of the left and right central areas A1 and A2 is much higher than that of the surrounding areas, so it is necessary to design a maintenance cover in A1 and A2 respectively.

Claims (1)

1. a method for constructing a space fault field model based on a three-dimensional model of a product, is characterized in that it comprises the following steps: Step 1: Calculate the risk index of each unit and each failure mode of the product; According to the FMECA results of product failure mode impact and hazard analysis, calculate the risk index of each component unit and each failure mode of the product, which is determined by the failure mode occurrence probability level, severity level, and detection difficulty level; Step 2: Calculate the space fault field strength of the product component unit; The spatial fault field strength is a quantitative index that comprehensively describes the unit failure mode risk index and maintenance difficulty. Among them, the unit spatial fault field strength is superimposed by the fault field strength of the unit failure mode. This step includes 3 sub-steps: Step 1: Calculate the failure field strength of each failure mode in the product component unit, which is determined by the risk index of each failure mode; Step 2: Calculate the maintenance difficulty of each product component unit. For a product component unit, the maintenance difficulty can be measured by accessibility and disassembly: the better the accessibility, the lower the maintenance difficulty; the better the disassembly, the lower the maintenance difficulty. The lower the maintenance difficulty; Step 3: Calculate the space fault field strength of each product component unit. The unit space fault field strength is determined by the superposition of the failure mode field strength and unit maintenance difficulty determined in sub-step 1 and sub-step 2 of this step. It is directly proportional to the strength and inversely proportional to the maintenance difficulty of the unit; Step 3: Calculate the fault field strength on the surface of the product; The surface fault field strength is formed by the superposition of the fault radiation values of the spatial fault field strength of some product component units on the product surface. This step includes 5 sub-steps: Step 1: Using the principle of minimum containment, convert the irregular 3D physical model of the product into a regular 3D cuboid wireframe model, whose length, width and height are represented by L, W, and H respectively, denoted as (L, W, H) ; Step 2: Continue to apply the principle of minimum containment, convert the product component unit into a three-dimensional cylinder, and then determine its center of gravity, bottom surface radius, cylinder height, and the central axis of the cylinder, and determine the cylinder fault field according to the unit space fault field strength powerful; (1) Taking the center of gravity of the product as the origin O, establish a three-dimensional Cartesian coordinate system D along the three directions of the length, width and height of the cuboid (L, W, H), denoted as (X, Y, Z); (2) Taking the center of gravity of the element as the origin o, establish a three-dimensional sub-coordinate system d along the X-axis, Y-axis, and Z-axis directions of the coordinate system D, denoted as (x, y, z); (3) Using the principle of minimum containment, take the center of gravity of the unit as the center of gravity of the three-dimensional cylinder, and use the x-axis, y-axis, and z-axis as the central axes to construct a cylinder, denoted as Cx, Cy, and Cz, and compare the volumes of the three cylinders , take the cylinder with the smallest volume as the three-dimensional cylinder corresponding to the product unit, denoted as C| _k (k=x, y, z), the radius of the cylinder as r, and the height as H _C ; Among them, k=x indicates that the volume of the cylinder constructed with the x-axis as the central axis is the smallest, and so on; (4) Assign the unit space fault field strength to the corresponding cylinder C| _k , that is, the fault field strength of the cylinder C| _k is equal to the unit space fault field strength of the corresponding product; Step 3: Calculate the projection area of the cylinder on the product surface; The projection direction is specified as follows: (1) The cross section of the center of the cylinder S: S is the cross section made by the center of gravity of the cylinder and perpendicular to the k-axis of the central axis, that is, the circle with the center as the center of the cylinder and the radius of r, positive and negative along the k-axis The direction is directly projected onto the product surface, and its projection is the cross-sectional projection area; (2) Cylinder side: a rectangular cylinder with a length of H _C and a width of 2r is projected onto the product surface along the radial direction of the cross-section S, that is, 360° projected onto the product surface, and when it radiates to the product surface , its projection area should deduct the unprojectable area; Step 4: Calculate the radiation field from the unit to the product surface; (1) Radiation field of the cross section S at the center of the cylinder: First, calculate the absolute distance of the projection plane of the center O _D of the cross section S along the positive and negative directions of the k-axis, denoted as d ⁺ , d ^- ; then, calculate the cross section S The radiation fields in the positive and negative directions, respectively, are proportional to the unit space fault field strength and inversely proportional to the absolute distance; (2) Radiation field on the side of the cylinder: First, calculate the distance from the center of gravity of the cylinder to the surface of the product along the radial direction of the cross-section S. At this time, an angle ε can be set, where ε is divisible by 360, and ε must be large enough to ensure The same surface will not be repeatedly projected by the same side. For every ε° of the radius of the cross-section S along the cross-section, the distance from the center of gravity of the cylinder to the product surface along the radial direction of the cross-section S is calculated, and a distance array can be obtained.

Then, calculate the radiation field of the cylinder fault field strength on the surface of the product, which is proportional to the cylinder fault field strength and _inversely proportional to di; Step 5: Calculate the fault field strength on the product surface; Due to the large number of product components, the spatial fault field strength of each component unit is projected onto the product surface to form a radiation field. It is necessary to further superimpose the product surface fault field strength to provide a basis for the design of the product maintenance cover. The process is as follows: (1) Take any point f on the surface of the product, where f=1,2,...,n, and calculate the sum of all the radiation values projected to this point

(2) Normalization processing to determine the fault field strength of the product surface point f

where f=1,2,...,n; (3) Set the fault field strength

Compare with the color bar of fault field strength, take the color value corresponding to the fault field strength of point f on the product surface, where f=1,2,...,n, and color the corresponding position of the product, so as to obtain the fault field strength distribution on the product surface .

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