CN112687357B - Method for evaluating performance of aramid paper for honeycomb - Google Patents
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- CN112687357B CN112687357B CN202011486780.7A CN202011486780A CN112687357B CN 112687357 B CN112687357 B CN 112687357B CN 202011486780 A CN202011486780 A CN 202011486780A CN 112687357 B CN112687357 B CN 112687357B
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Abstract
The invention relates to an aramid paper performance evaluation method for honeycomb, which comprises the following steps: normalizing the test values of each test item of the aramid paper to be evaluated to obtain variable values; performing principal component analysis on the variable values, and extracting principal component factors; classifying each test item into the main component factors to obtain the contribution rate of each main component factor and the score coefficient of each test item in each main component factor, further obtaining the comprehensive score coefficient of each test item, calculating by combining the variable value to obtain the comprehensive score of the performance of the aramid paper to be evaluated, and finally calculating the performance score as the basis of the performance evaluation. According to the invention, through further research on various performances of the aramid paper, a test item capable of evaluating the process applicability of the aramid paper for the honeycomb is found out, and an evaluation method for the performance of the aramid paper is established, so that the honeycomb preparation has guiding and directional effects, and finally, the smooth proceeding of the honeycomb preparation is ensured, the rejection rate can be effectively reduced, and the production cost is reduced.
Description
Technical Field
The invention belongs to the field of honeycomb manufacturing, and particularly relates to a performance evaluation method of aramid paper for honeycomb.
Background
The aramid paper is an important raw material for manufacturing the honeycomb, the existing process is to determine that the aramid paper meets the basic requirements for manufacturing the aramid paper honeycomb by checking the thickness, the quantification, the tensile strength and the elongation performance, and the aramid paper honeycomb meeting the expected requirements is manufactured by adjusting the manufacturing process according to the existing manufacturing experience of the aramid paper honeycomb.
At present, only the thickness, the ration, the tensile strength and the elongation performance of the aramid paper for the honeycomb are usually checked, and the performance items of the paper have direct influence on the mechanical properties of the honeycomb, such as compression, plane shearing and the like. However, the performance items of the papers cannot fully reflect the relation between the papers and the control parameters (such as cell size and node strength) of the honeycomb process, and cannot fully represent the matching property of the aramid paper with the core rubber and the impregnating resin in the honeycomb preparation process, so that whether the aramid paper of a certain type can be prepared into the honeycomb cannot be effectively evaluated.
Disclosure of Invention
The invention aims at the defects and provides a method for evaluating the technical performance of the aramid paper honeycomb before honeycomb manufacturing.
The technical scheme for solving the technical problems is as follows:
a performance evaluation method of aramid paper for honeycomb comprises the following steps:
step 1, standardizing test values of all test items of aramid paper to be evaluated to obtain variable values;
step 2, carrying out principal component analysis on the variable values, and extracting principal component factors mutually independent;
step 3, carrying out Kaiser standardized orthogonal rotation according to the extracted principal component factors, classifying each test item into each extracted principal component factor after convergence, and obtaining the contribution rate of each extracted principal component factor and the score coefficient of each test item in each principal component factor;
step 4, multiplying and summing the contribution rate of each principal component factor and the score coefficient of each test item in each principal component factor to obtain a comprehensive score coefficient of each test item;
step 5, multiplying and adding the comprehensive scoring coefficient and the variable value of each test item to obtain the comprehensive scoring of the aramid paper performance to be evaluated;
and 7, performing performance evaluation according to the performance score of the aramid paper to be evaluated.
On the basis of the technical scheme, the invention can be improved as follows.
Further, the test values of the respective test items of the aramid paper to be evaluated were normalized according to the following formula:
wherein Z is i The variable value X obtained by normalizing the test value of the aramid paper to be evaluated i For the test value of the aramid paper to be evaluated,s is the arithmetic mean of the test values and S is the standard deviation of the test values.
Further, the principal component factors include: a first main component reflecting basic properties, a second main component reflecting wet strength properties, a third main component reflecting strength properties, a fourth main component reflecting fiber bonding strength, a fifth main component reflecting stretchability, and a sixth main component reflecting air permeability properties.
Further, the test items classified into the first main component include basis weight, thickness, tightness, smoothness and elastic modulus, the test items classified into the second main component include wet tensile strength, wet elongation, transverse elongation and reverse surface strength, the test items classified into the third main component include tensile strength, tear strength and water absorbency, the test items classified into the fourth main component include longitudinal in-bonding strength, front surface strength and longitudinal elongation, the test items classified into the fifth main component include elongation, and the test items classified into the sixth main component include air permeability.
Further, in the step 6, the performance score of the aramid paper to be evaluated is calculated according to the following formula:
performance score = 100-40 xd i
Wherein D is i And (5) comprehensively scoring the performance of the aramid paper to be evaluated.
Further, the performance evaluation according to the performance score of the aramid paper to be evaluated specifically includes:
when the performance score is smaller than a preset score threshold, the aramid paper to be evaluated is not suitable for preparing the honeycomb, otherwise, the aramid paper to be evaluated is suitable for manufacturing the honeycomb.
The beneficial effects of the invention are as follows: based on historical data accumulated in the honeycomb manufacturing process, the method for evaluating the technological properties of the aramid paper in the honeycomb can be provided for overcoming the defects of the existing honeycomb manufacturing process, and through further research on various properties of the aramid paper, test items capable of evaluating the technological applicability of the aramid paper for the honeycomb are found out, and an evaluation method for the properties of the aramid paper is established, so that the honeycomb is guided and directional in preparation, the smooth proceeding of the honeycomb preparation is finally ensured, the rejection rate can be effectively reduced, and the production cost is reduced.
Drawings
Fig. 1 is a flowchart of a performance evaluation method of aramid paper for honeycomb according to an embodiment of the present invention.
Detailed Description
The principles and features of the present invention are described below with reference to the drawings, the examples are illustrated for the purpose of illustrating the invention and are not to be construed as limiting the scope of the invention.
Fig. 1 is a flowchart of a performance evaluation method of aramid paper for honeycomb, according to an embodiment of the present invention, as shown in fig. 1, the method includes the following steps:
s1, normalizing test values of all test items of aramid paper to be evaluated to obtain variable values;
specifically, in the step, firstly, the test items of the aramid paper for the honeycomb are determined, and the performance of the aramid paper is tested for multiple times according to the determined test items, so that the test values are accumulated.
According to the test value of the accumulated aramid paper performance, the test value of the aramid paper to be evaluated is standardized, and the method comprises the following steps:
wherein->An arithmetic average of the test values of the historically accumulated aramid paper properties, S: standard deviation of the test value of the historically accumulated aramid paper properties; z is Z i : the standardized variable value of the aramid paper to be evaluated; x is X i : the test value of the aramid paper to be evaluated.
S2, carrying out principal component analysis on the variable values, and extracting principal component factors mutually independent;
s3, carrying out Kaiser standardized orthogonal rotation according to the extracted principal component factors, classifying each test item into each extracted principal component factor after convergence, and obtaining the contribution rate of each extracted principal component factor and the score coefficient of each test item in each principal component factor;
specifically, the steps S2 and S3 mainly analyze multiple performance data of the aramid paper through statistical software, extract mutually independent main components, and the operation method is as follows:
(1) The principal component analysis extraction is performed using SPSS (Statistical Product and Service Solutions, statistical product and service solution) software, where the principal component analysis is to form a multidimensional space with multiple variables, then to project a straight line in the space to explain the maximum variance, where the resulting straight line is the common factor, where the straight line is most representative of the properties of the variables, and where a variable formed by values on the straight line is the first common factor, or first factor. But there is still a residual variance in space, so a second straight line needs to be projected to account for the variance. At this time, it is also intended to represent a different aspect according to a second criterion, i.e., the projected second line is in an orthogonal relationship (i.e., uncorrelated) with the first line. One variable formed by the values on the second line is called the second factor. According to this principle, a third, fourth or more factors can be found. In principle, the number of factors is the same as that of the original variables, but after the main factors are extracted, if the residual variance is small, the rest factors can be abandoned so as to achieve the purpose of simplifying data, and meanwhile, the main component analysis result can be stated to have significance.
(2) According to the main component factors extracted in the previous step, carrying out Kaiser standardized orthogonal rotation, classifying each test item into each extracted main component factor after convergence, and obtaining the contribution rate A of each extracted main component factor i And the score coefficient B of each test item in each principal component factor i 。
S4, the contribution rate A of each principal component factor obtained in the step S3 is calculated i And the score coefficient B of each test item in each principal component factor i Multiplying and adding to obtain comprehensive scoring coefficient C of each test item i The formula is as follows:
C i =∑A i *B i
s5, the comprehensive scoring coefficient of each test item obtained in the step S4 is obtainedC i And testing the data Z normalized by the original value i Multiplying and adding to obtain comprehensive score D of the performance of the aramid paper to be evaluated i The formula is as follows:
D i =∑Z i *C i
s6, according to the comprehensive score D i Calculating the performance score of the aramid paper to be evaluated;
specifically, the score calculation is carried out on the aramid paper to be evaluated according to the following formula:
aramid paper performance score = 100-40 xd i
And S7, performing performance evaluation according to the performance score of the aramid paper obtained in the step S6.
For example, when the performance score of the aramid paper is less than 60, the performance of the aramid paper is too low to be suitable for preparing the honeycomb, and when the performance score of the aramid paper is more than or equal to 60, the aramid paper is suitable for manufacturing the honeycomb.
The honeycomb materials used in the examples of the present invention are meta-aramid paper and para-aramid paper, and the test items of the aramid paper for honeycomb are all or part of those shown in table 1 below.
Table 1 aramid paper test items for honeycomb
The invention relates to a performance evaluation method of aramid paper for honeycomb. Based on historical data accumulated in the honeycomb manufacturing process, the method for evaluating the technological properties of the aramid paper in the honeycomb can be provided for overcoming the defects of the existing honeycomb manufacturing process, and through further research on various properties of the aramid paper, test items capable of evaluating the technological applicability of the aramid paper for the honeycomb are found out, and an evaluation method for the properties of the aramid paper is established, so that the honeycomb is guided and directional in preparation, the smooth proceeding of the honeycomb preparation is finally ensured, the rejection rate can be effectively reduced, and the production cost is reduced.
The invention is further described below in connection with PCF para-aramid paper.
Optionally, a batch of PCF performs performance testing on the para-aramid paper for 26 test items in table 1, and the test data is normalized according to the accumulated historical data.
And extracting and synthesizing the factors by a principal component analysis method according to the step S3.
TABLE 2 common factor variance (commonality) tables
TABLE 3 principal component analysis results
As can be seen from Table 3, the performance index of the para-aramid paper is finally divided into 6 main components through the analysis of the main components, and the accumulated factor contribution rate is 90.3%, namely the interpretation capability of the original data reaches 90.3% and exceeds 85%, which indicates that the main component analysis result is significant.
TABLE 4 rotated component matrices
Remarks: the Kaiser-normalized orthogonal rotation method, the rotation converged after 16 iterations.
The aramid paper performance index was divided into 6 main component indexes by the analysis results in table 4:
(1) A first principal component indicator comprising 7 components: quantitative, thickness, tightness, smoothness (positive and negative), elastic modulus (longitudinal and transverse), and can reflect basic performance indexes;
(2) The second principal component index includes 6 components: wet tensile strength (longitudinal, transverse), wet elongation (longitudinal, transverse), transverse elongation, reverse surface strength, can reflect wet strength performance index;
(3) The third principal component index includes 6 components: tensile strength (longitudinal, transverse), tear (longitudinal, transverse), water absorption (forward, reverse), can reflect strength properties;
(4) A fourth principal component indicator comprising 3 components: the longitudinal internal bonding strength, the front surface strength and the longitudinal elongation can reflect the index of the fiber bonding strength;
(5) A fifth principal component indicator comprising 2 components: the expansion rate (vertical and horizontal) can reflect the expansion index;
(6) A sixth principal component index including 1 component: the air permeability can reflect the air permeability;
the contribution rates of the six main components are 44.308%, 15.329%, 11.455%, 9.785%, 5.269% and 4.210% respectively.
Table 5 factor scoring coefficient matrix
The final results of the factor analysis are shown in table 6 below.
TABLE 6 eigenvalues, interpretation variances, and cumulative variances for each factor
Factors of | Naming the name | Eigenvalues | Variance of | Cumulative variance |
First main component | Basic Properties | 11.520 | 44.308 | 44.308 |
Second main component | Wet strength properties | 3.986 | 15.329 | 59.637 |
Third main component | Strength properties | 2.978 | 11.455 | 71.092 |
Fourth main component | Fiber bond strength | 2.543 | 9.782 | 80.875 |
Fifth stepMain component | Retractility of | 1.370 | 5.269 | 86.144 |
Sixth main component | Air permeability | 1.095 | 4.210 | 90.354 |
And (4) calculating to obtain the scoring coefficient of each test item according to the step S4.
The quantitative scoring coefficients are calculated as follows:
quantitative score coefficient= 44.308% (-0.053) +15.329% -0.018+11.455% (-0.061) +9.782% -0.066+5.269% -0.015+4.210% -0.229 = -0.011)
The scoring coefficient calculation results for each test item are shown in table 7 below.
Table 7 scoring coefficients for various indices
And (5) calculating to obtain the comprehensive score of the batch of aramid paper to be evaluated according to the step (S5).
Table 8 comprehensive score of aramid paper to be evaluated
Specification of specification | Lot number | Comprehensive scoring |
PCF | 20181013214L-1 | 0.20 |
According to the step S6, calculating the score of the batch of aramid paper to be evaluated, and finally, dividing the score into
100-40 x 0.2=92 minutes
According to the evaluation rule of the step S7, the performance score of the batch of aramid paper is more than or equal to 60 minutes, and the aramid paper is suitable for honeycomb manufacturing.
The foregoing description of the preferred embodiments of the invention is not intended to limit the invention to the precise form disclosed, and any such modifications, equivalents, and alternatives falling within the spirit and scope of the invention are intended to be included within the scope of the invention.
Claims (3)
1. The method for evaluating the performance of the aramid paper for the honeycomb is characterized by comprising the following steps of:
step 1, normalizing the test values of all the test items of the aramid paper to be evaluated to obtain variable values, and normalizing the test values of all the test items of the aramid paper to be evaluated according to the following formula:
wherein Z is i The variable value X obtained by normalizing the test value of the aramid paper to be evaluated i For the test value of the aramid paper to be evaluated,s is the arithmetic mean of the test values, S is the standard deviation of the test values;
step 2, carrying out principal component analysis on the variable values, and extracting principal component factors mutually independent;
step 3, carrying out Kaiser standardized orthogonal rotation according to the extracted principal component factors, classifying each test item into each extracted principal component factor after convergence, and obtaining the contribution rate of each extracted principal component factor and the score coefficient of each test item in each principal component factor;
step 4, multiplying and summing the contribution rate of each principal component factor and the score coefficient of each test item in each principal component factor to obtain a comprehensive score coefficient of each test item;
step 5, multiplying and adding the comprehensive scoring coefficient and the variable value of each test item to obtain the comprehensive scoring of the aramid paper performance to be evaluated;
step 6, calculating the performance score of the aramid paper to be evaluated according to the comprehensive score: the performance score of the aramid paper to be evaluated was calculated according to the following formula: performance score = 100-40 xd i
Wherein D is i Comprehensively grading the performance of the aramid paper to be evaluated;
step 7, performing performance evaluation according to the performance score of the aramid paper to be evaluated: when the performance score is smaller than a preset score threshold, the aramid paper to be evaluated is not suitable for preparing the honeycomb, otherwise, the aramid paper to be evaluated is suitable for manufacturing the honeycomb.
2. The method of claim 1, wherein the principal component factors comprise: a first main component reflecting basic properties, a second main component reflecting wet strength properties, a third main component reflecting strength properties, a fourth main component reflecting fiber bonding strength, a fifth main component reflecting stretchability, and a sixth main component reflecting air permeability properties.
3. The method of claim 2, wherein the test items categorized in the first principal component include basis weight, thickness, tightness, smoothness and modulus of elasticity, the test items categorized in the second principal component include wet tensile strength, wet elongation, transverse elongation and reverse surface strength, the test items categorized in the third principal component include tensile strength, tear strength and water absorbency, the test items categorized in the fourth principal component include machine direction bond strength, machine direction surface strength and machine direction elongation, the test items categorized in the fifth principal component include elongation, and the test items categorized in the sixth principal component include air permeability.
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