CN112528419B - Target structural member and external excitation load database construction method based on correlation - Google Patents
Target structural member and external excitation load database construction method based on correlation Download PDFInfo
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- CN112528419B CN112528419B CN202011551557.6A CN202011551557A CN112528419B CN 112528419 B CN112528419 B CN 112528419B CN 202011551557 A CN202011551557 A CN 202011551557A CN 112528419 B CN112528419 B CN 112528419B
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Abstract
The invention provides a method for constructing a database of a target structural part and an external excitation load based on correlation, which comprises the following steps: step 1, collecting load spectrum data of each target structural member under a plurality of external excitation load channels of an external excitation load, and calculating a correlation coefficient rho between the external excitation load channels and the target structural memberXY2, calculating a coherence coefficient of the external excitation load channel and the target structural member at a frequency f, establishing a coherence coefficient matrix between the target structural member and the external excitation load channel, and performing coherence judgment in the coherence coefficient matrix according to a coherence judgment criterion; and 3, constructing a correlation database between the target structural member and the external excitation load channel.
Description
Technical Field
The invention belongs to the technical field of vehicle reliability, and particularly relates to a method for constructing a target structural member and external excitation load database based on relevancy.
Background
The indoor road simulation test is an important means for checking the durability and reliability of the whole vehicle and parts. In the process of road simulation test, the relationship between an external excitation load spectrum (wheel center six-component load spectrum) and a target structural member (front and rear suspensions, an auxiliary frame, a vehicle body and other key bearing parts of strain response) is complex, and it is almost impossible to realize that all channels of a road simulation iteration bench test completely reproduce the service process of a vehicle; secondly, the load spectrum dimensions of the multi-channel simulation bench test are numerous, so that the multi-channel load simulation work is complex, large and long in time consumption, the product development period of an enterprise is long, the updating substitution is slow, and the multi-channel load simulation test is gradually eliminated by the market.
Disclosure of Invention
The present invention is made to solve the above problems, and an object of the present invention is to provide a method for constructing a database of a target structural member and an external excitation load based on a correlation.
The invention provides a method for constructing a target structural member and external excitation load database based on correlation, which is characterized by comprising the following steps of: step 1, collecting load spectrum data of each target structural member under a plurality of external excitation load channels of an external excitation load, taking the external excitation load channels as random variables X and the load spectrum data of the target structural member as random variables Y, and calculating a correlation coefficient rho between the random variables X and Y according to a formula (1)XYAnd a correlation coefficient matrix between the external excitation load channel and the target structural member is established according to the calculated correlation coefficient,
ρXY=E[(X-μX)(Y-μY)]/(σXσY) (1),
the correlation judgment of the target structural member and the external excitation load channel is carried out in a correlation coefficient matrix according to a correlation judgment criterion by a Cauchy-Schwarz inequality as a formula (2),
E[(X-μX)(Y-μY)]2≤E[(X-μX)2]E[(X-μY)2] (2);
step 2, taking the external excitation load channel as a complex random signal x, taking the load spectrum data of the target structural part as a complex random signal y, calculating the coherence coefficients of the complex random signal x and the complex random signal y at the frequency f according to a formula (3), establishing a coherence coefficient matrix between the target structural part and the external excitation load channel according to the calculated coherence coefficients, and performing coherence judgment on the target structural part and the external excitation load channel according to a coherence judgment criterion in the coherence coefficient matrix,
step 3, constructing a correlation database between the target structural member and the external excitation load channel, storing the target structural member and the corresponding external excitation load channel which simultaneously meet the correlation judgment criterion and the coherence judgment criterion in the correlation database,
wherein, in formula (1) and formula (2), E [ (X- μ:)X)(Y-μY)]Is the covariance of X and Y, μX、μYIs a mean value of X, Y, μX=E(X),μY=E(Y),σX、σYIs a standard deviation of X, Y a and,
in the formula (3), fxx(w) and fyy(w) power spectral densities, f, of signal x and signal y, respectivelyyx(w) represents the cross-spectral density between signals x and y, the power spectral density being a real function of the frequency f, the cross-spectral density being a complex function of the frequency f, py.x(w) represents the coherence coefficient of signal x and signal y at frequency f, when 0 ≦ ρy.x(w) is less than or equal to 1, and rhoy.xWhen (w) is 0, the signals x and y are incoherent, when ρy.xWhen (w) is 1, the signals x and y are completely coherent.
In the method for constructing the target structural member and external excitation load database based on the correlation provided by the invention, the method can also have the following characteristics: the correlation determination criterion is to determine that the external excitation load channel with the correlation coefficient lower than 0.7 is irrelevant, delete the corresponding external excitation load channel, determine that the external excitation load channel with the correlation coefficient higher than 0.7 is high in correlation, and reserve the corresponding external excitation load channel.
In the method for constructing the target structural member and external excitation load database based on the correlation provided by the invention, the method can also have the following characteristics: the coherence judgment criterion is that when the frequency f is in a main frequency range of a strain response load spectrum of a target structural member, an external excitation load channel with a relatively large coherence coefficient is judged to be correlated with the target structural member, coherence coefficients in other frequency ranges are used as auxiliary references, and when the coherence coefficient is larger than or equal to 0.8 in other frequency ranges, a corresponding external excitation load channel is judged to be correlated with the target structural member.
In the method for constructing the target structural member and external excitation load database based on the correlation provided by the invention, the method can also have the following characteristics: the correlation coefficient matrix is established through nCode and MATLAB software, and the coherence coefficient matrix is established through nCode software.
Action and Effect of the invention
According to the relevance-based target structural member and external excitation load database construction method, the relevance analysis and the coherence analysis are carried out between the target structural member and the external excitation load channel, the relevance database between the target structural member and the external excitation load channel is established, when an indoor road simulation test is carried out, the optimal external excitation load channel corresponding to the target structural member can be directly determined through the relevance database, the debugging dimension of an iteration test is effectively reduced, the iteration efficiency is improved, the load simulation accuracy of most target structural members is improved, and important references are provided for the iteration of the whole vehicle multi-channel load simulation test.
Drawings
Fig. 1 is a flowchart of a method for constructing a database of target structural components and external excitation loads based on correlation according to an embodiment of the present invention.
Detailed Description
In order to make the technical means and functions of the present invention easy to understand, the present invention is specifically described below with reference to the embodiments and the accompanying drawings.
Fig. 1 is a flowchart of a method for constructing a database of target structural components and external excitation loads based on correlation according to an embodiment of the present invention.
As shown in fig. 1, the method for constructing a database of target structural components and external excitation loads based on correlation according to this embodiment includes the following steps:
step 1, collecting load spectrum data of each target structural member under a plurality of external excitation load channels of an external excitation load, taking the external excitation load channels as random variables X and the load spectrum data of the target structural member as random variables Y, calculating a correlation coefficient rho XY between the random variables X and Y according to a formula (1), and establishing a correlation coefficient matrix between the external excitation load channels and the target structural member according to the calculated correlation coefficient,
ρXY=E[(X-μX)(Y-μY)]/(σXσY) (1),
the correlation judgment of the target structural member and the external excitation load channel is carried out in a correlation coefficient matrix according to a correlation judgment criterion by a Cauchy-Schwarz inequality as a formula (2),
E[(X-μX)(Y-μY)]2≤E[(X-μX)2]E[(X-μY)2] (2)。
in the formula (1) and the formula (2), E [ (X-. mu.)X)(Y-μY)]Is the covariance of X and Y, μX、μYIs a mean value of X, Y, μX=E(X),μY=E(Y),σX、σYIs a standard deviation of X, Y a and,
the correlation determination criterion is to determine that the external excitation load channel with the correlation coefficient lower than 0.7 is irrelevant, delete the corresponding external excitation load channel, determine that the external excitation load channel with the correlation coefficient higher than 0.7 is high in correlation, and reserve the corresponding external excitation load channel.
The correlation coefficient matrix is established by nCode and MATLAB software.
In this embodiment, when ρ isXYThe closer to 1, the better the linear correlation of X and Y, ρXYThe sign of (a) represents the directionality of the numerical variation between two variables, when rhoXYApproaching 0, it can be considered that there is no correlation between X and Y, but there may still be some non-linear correlation, even a functional one.
Step 2, taking the external excitation load channel as a complex random signal x, taking the load spectrum data of the target structural part as a complex random signal y, calculating the coherence coefficients of the complex random signal x and the complex random signal y at the frequency f according to a formula (3), establishing a coherence coefficient matrix between the target structural part and the external excitation load channel according to the calculated coherence coefficients, and performing coherence judgment on the target structural part and the external excitation load channel according to a coherence judgment criterion in the coherence coefficient matrix,
in the formula (3), fxx(w) and fyy(w) power spectral densities, f, of signal x and signal y, respectivelyyx(w) represents the cross-spectral density between signals x and y, the power spectral density being a real function of the frequency f, the cross-spectral density being a complex function of the frequency f, py.x(w) represents the coherence coefficient of signal x and signal y at frequency f, when 0 ≦ ρy.x(w) is less than or equal to 1, and rhoy.xWhen (w) is 0, the signals x and y are incoherent, when ρy.xWhen (w) is 1, the signals x and y are completely coherent.
And the coherence judgment criterion is that when the frequency f is in the main frequency range of the strain response load spectrum of the target structural member, the external excitation load channel with relatively large coherence coefficient is judged to be correlated with the target structural member, the coherence coefficients in other frequency ranges are used as auxiliary references, and when the coherence coefficient is more than or equal to 0.8 in other frequency ranges, the corresponding external excitation load channel is judged to be correlated with the target structural member.
The coherence coefficient matrix is built by ncode software.
And 3, constructing a correlation database between the target structural part and the external excitation load channel, and storing the target structural part and the corresponding external excitation load channel which simultaneously meet the correlation judgment criterion and the coherence judgment criterion in the correlation database.
In this embodiment, the external excitation load channel stored in the relevancy database is an optimal external excitation load channel corresponding to the target structural member.
In the embodiment, when a certain part, some parts or the whole automobile of the automobile needs to be subjected to the endurance test, the corresponding optimal external excitation load channel is inquired in the relevancy database according to the target structural part to be tested to perform the bench test, so that the dimension reduction of the number of the load channels can be realized, the data calculation amount in the process of establishing the external excitation load and the target structural part strain load relevancy is effectively reduced, and the test accuracy is ensured.
Effects and effects of the embodiments
According to the relevance-based target structural member and external excitation load database construction method, the relevance and coherence between the target structural member and the external excitation load channel are analyzed and judged, the relevance database between the target structural member and the external excitation load channel is established, when an indoor road simulation test is carried out, the optimal external excitation load channel corresponding to the target structural member can be directly determined through the relevance database, the debugging dimension of an iteration test is effectively reduced, the iteration efficiency is improved, the load simulation accuracy of most target structural members is improved, and important references are provided for the iteration of the whole vehicle multi-channel load simulation test.
The above embodiments are preferred examples of the present invention, and are not intended to limit the scope of the present invention.
Claims (4)
1. A method for constructing a target structural member and external excitation load database based on correlation is characterized by comprising the following steps:
step 1, collecting load spectrum data of each target structural member under a plurality of external excitation load channels of an external excitation load, taking the external excitation load channels as a random variable X, taking the load spectrum data of the target structural member as a random variable Y, and calculating a correlation coefficient rho between the random variables X and Y according to a formula (1)XYAnd establishing a correlation coefficient matrix between the external excitation load channel and the target structural member according to the calculated correlation coefficient,
ρXY=E[(X-μX)(Y-μY)]/(σXσY) (1),
performing correlation determination of the target structure and the external excitation load channel according to correlation determination criteria in the correlation coefficient matrix by using a Cauchy-Schwarz inequality as formula (2),
E[(X-μX)(Y-μY)]2≤E[(X-μX)2]E[(X-μY)2] (2);
step 2, taking the external excitation load channel as a complex random signal x, taking the load spectrum data of the target structure as a complex random signal y, calculating the coherence coefficients of the complex random signal x and the complex random signal y at the frequency f according to a formula (3), establishing a coherence coefficient matrix between the target structure and the external excitation load channel according to the calculated coherence coefficients, and performing coherence judgment on the target structure and the external excitation load channel according to a coherence judgment criterion in the coherence coefficient matrix,
step 3, constructing a correlation database between the target structural part and the external excitation load channel, storing the target structural part and the corresponding external excitation load channel which simultaneously meet the correlation judgment criterion and the coherence judgment criterion in the correlation database,
wherein, in formula (1) and formula (2), E [ (X- μ:)X)(Y-μY)]Is the covariance of X and Y, μX、μYIs a mean value of X, Y, μX=E(X),μY=E(Y),σX、σYIs a standard deviation of X, Y a and,
in the formula (3), fxx(w) and fyy(w) power spectral densities, f, of signal x and signal y, respectivelyyx(w) represents the cross-spectral density between signals x and y, the power spectral density being a real function of the frequency f, the cross-spectral density being a complex function of the frequency f, py.x(w) represents the coherence coefficient of signal x and signal y at frequency f, when 0 ≦ ρy.x(w) is less than or equal to 1, and rhoy.xWhen (w) is 0, the signals x and y are incoherent, when ρy.xWhen (w) is 1, the signals x and y are completely coherent.
2. The correlation-based target structure and external excitation load database construction method according to claim 1, wherein the method comprises the following steps:
the correlation determination criterion is to determine that the external excitation load channel with the correlation coefficient lower than 0.7 is irrelevant, delete the corresponding external excitation load channel, determine that the external excitation load channel with the correlation coefficient higher than 0.7 is high in correlation, and reserve the corresponding external excitation load channel.
3. The correlation-based target structure and external excitation load database construction method according to claim 1, wherein the method comprises the following steps:
the coherence judgment criterion is that when the frequency f is in a main frequency range of a strain response load spectrum of the target structural member, the external excitation load channel with a relatively large coherence coefficient is judged to be correlated with the target structural member, the coherence coefficients in other frequency ranges are used as auxiliary references, and when the coherence coefficient is greater than or equal to 0.8 in other frequency ranges, the corresponding external excitation load channel is judged to be correlated with the target structural member.
4. The correlation-based target structure and external excitation load database construction method according to claim 1, wherein the method comprises the following steps:
wherein the correlation coefficient matrix is established by nCode and MATLAB software,
the coherence coefficient matrix is established by ncode software.
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