CN109460599B - Transmission quantitative analysis method and system for assembly characteristic deviation - Google Patents
Transmission quantitative analysis method and system for assembly characteristic deviation Download PDFInfo
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Abstract
The invention discloses a transmission quantitative analysis method and a system for assembly characteristic deviation, which firstly measure the assembly characteristic deviation of different assembly units of an airplane with different numbers of frames to obtain the assembly characteristic deviation of each assembly unit; secondly, determining a transfer entropy according to the assembly characteristic deviation of the two assembly units; then constructing an assembly characteristic deviation transmission network model according to the assembly characteristic deviation of each assembly unit; and finally, carrying out quantitative analysis on assembly characteristic deviation transmission according to the transmission entropy and the assembly characteristic deviation transmission network model, determining topological relation among assembly deviation variables and indexes for measuring causality by using the transmission entropy, disclosing an assembly deviation propagation mechanism and a coupling rule of the complex structure product in a small-batch development mode, and realizing the assembly tolerance optimization of the complex structure product in a small-batch production mode.
Description
Technical Field
The invention relates to the technical field of airplane assembly characteristic deviation digital coordination, in particular to a transmission quantitative analysis method and system for assembly characteristic deviation.
Background
The aircraft is a typical complex-structure product with a large number of parts, complex assembly coordination relation, high assembly accuracy requirement and strict quality control, and the aircraft product assembly process belongs to a multi-process manufacturing process and has the characteristics of complexity, dynamics, nonlinearity and the like. The accumulation of airplane assembly characteristic deviation can be generated by a plurality of deviation sources such as part manufacturing errors, tool positioning errors, thin-wall part deformation resilience, riveting deformation, assembly benchmarks and the like, and the out-of-tolerance phenomenon often occurs in the airplane assembly process. At present, heavy-point new-type airplanes such as advanced coaches, branch airliners, large-scale transport planes and the like are in a key stage of transition from small-batch production to batch production, more difficult points which need to be solved urgently are developed, and the batch production process of the airplanes is seriously influenced. In addition, the transfer quantitative analysis of the assembly characteristic deviation is always a difficult problem in the size precision improvement process of the aircraft manufacturing enterprises.
In recent years, with the rapid development of digital measuring equipment such as laser trackers, local GPS and CCD industrial cameras, the introduction of digital measuring equipment in the process of aircraft development has become a common consensus among aircraft manufacturing companies at home and abroad, and the assembly dimension data can be measured by using the digital measuring equipment. The information contained in the data is fully utilized and mined, the propagation mechanism of the assembly characteristic deviation is revealed, the abnormal fluctuation in the assembly process is reduced, and the control and improvement of the assembly quality of the product are of great significance.
In the past research, researchers have proposed many methods for quantitative analysis of assembly characteristic deviation transmission, i.e., drawing the interaction between two variables, such as the traditional statistical analysis method, Granger causal relationship method, mutual information method, etc., but because the factors such as small production batch of airplanes cannot observe a large amount of complete detection data of various deviation inputs, transmissions and outputs in the assembly process, the measurement data presents the characteristics of small samples, high dimension, incompleteness, etc., and meanwhile, the interaction relationship between the variables is ignored, so that it is difficult to carry out quantitative analysis of assembly characteristic deviation transmission on the measurement data by the traditional statistical method. The Granger causal relationship method assumes that the relationship between systems is linear, so that the problems of low quantitative analysis precision and the like exist; mutual information methods cannot indicate the directionality of information transfer between systems.
Disclosure of Invention
The invention aims to provide a transfer quantitative analysis method and a transfer quantitative analysis system for assembly characteristic deviation, so as to realize transfer quantitative analysis of the assembly characteristic deviation in a small-batch production mode and improve the precision of quantitative analysis.
In order to achieve the above object, the present invention provides a transfer quantitative analysis method of an assembly characteristic deviation, including:
Measuring the assembly characteristic deviation of different erection unit of the airplane to obtain the assembly characteristic deviation of each assembly unit;
determining a transfer entropy according to the assembly characteristic deviation of the two assembly units;
constructing an assembly characteristic deviation transmission network model according to the assembly characteristic deviation of each assembly unit;
and carrying out assembly characteristic deviation transfer quantitative analysis according to the transfer entropy and the assembly characteristic deviation transfer network model.
Optionally, the determining a transfer entropy according to the assembly characteristic deviation of the two assembly units specifically includes:
determining an assembly characteristic deviation transfer entropy formula;
and calculating transfer entropy according to the assembly characteristic deviation transfer entropy formula and the assembly characteristic deviation of the two assembly units by utilizing kernel density estimation.
Optionally, the performing, according to the transfer entropy and the assembly characteristic deviation transfer network model, quantitative analysis on assembly characteristic deviation transfer specifically includes:
determining the transmission direction and the transmission value of the assembly characteristic deviation of the two assembly units according to the transmission entropy;
and transmitting and decomposing the assembling feature deviation of each assembling level by using the assembling feature deviation transmission network model.
Optionally, the transmitting and decomposing of the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmitting network model specifically includes:
transmitting and accumulating the assembling feature deviations of each assembling level by using the assembling feature deviation transmission network model;
and decomposing and tracing the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model.
Optionally, the transmission entropy is calculated by using the kernel density estimation according to the assembly characteristic deviation transmission entropy formula and the assembly characteristic deviations of the two assembly units, where the specific formula is as follows:
wherein, TJ→ITo be self-assembling sheetsThe transfer entropy passed by element J to assembly unit I, N is the length of the test data,
for nuclear density estimation, xnAnd ynAssembly characteristic deviation, x, of two assembly units of the nth aircraftn+1Representing the assembly feature deviation of the (n + 1) th frame, k and l are the implant dimensions of x and y respectively,
the present invention also provides a transfer quantitative analysis system of an assembly characteristic deviation, the transfer quantitative analysis system including:
the acquisition module is used for measuring the assembly characteristic deviation of the assembly units of different airplanes to acquire the assembly characteristic deviation of each assembly unit;
The transfer entropy determining module is used for determining transfer entropy according to the assembling characteristic deviation of the two assembling units;
the assembling characteristic deviation transmission network model determining module is used for constructing an assembling characteristic deviation transmission network model according to the assembling characteristic deviation of each assembling unit;
and the transfer quantitative analysis module is used for carrying out transfer quantitative analysis on the assembly characteristic deviation according to the transfer entropy and the assembly characteristic deviation transfer network model.
Optionally, the transfer entropy determining module specifically includes:
the assembling characteristic deviation transfer entropy formula determining unit is used for determining an assembling characteristic deviation transfer entropy formula;
and the transfer entropy determining unit is used for calculating transfer entropy according to the assembling feature deviation transfer entropy formula and the assembling feature deviations of the two assembling units by utilizing kernel density estimation.
Optionally, the transfer quantitative analysis module specifically includes:
the first analysis unit is used for determining the transmission direction and the transmission value of the assembly characteristic deviation of the two assembly units according to the transmission entropy;
and the second analysis unit is used for transmitting and decomposing the assembling characteristic deviation of each assembling level by using the assembling characteristic deviation transmission network model.
Optionally, the first analysis unit specifically includes:
the transmission and accumulation subunit is used for transmitting and accumulating the assembly characteristic deviations of each assembly level by using the assembly characteristic deviation transmission network model;
and the decomposition and source tracing subunit is used for decomposing and tracing the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model.
Optionally, the calculating, by using the kernel density estimation, a transfer entropy according to the assembly characteristic deviation transfer entropy formula and the assembly characteristic deviations of the two assembly units includes:
wherein, TJ→IThe entropy of the transfer passed from assembly unit J to assembly unit I, N is the length of the detection data,
for kernel density estimation, xnAnd ynAssembly characteristic deviation, x, of two assembly units of the nth aircraftn+1Representing the assembly feature deviation of the (n + 1) th frame, k and l are the implant dimensions of x and y respectively,
according to the specific embodiment provided by the invention, the invention discloses the following technical effects:
firstly, measuring the assembly characteristic deviation of different erection unit of airplanes to obtain the assembly characteristic deviation of each assembly unit; secondly, determining a transfer entropy according to the assembly characteristic deviation of the two assembly units; then constructing an assembly characteristic deviation transmission network model according to the assembly characteristic deviation of each assembly unit; and finally, carrying out quantitative analysis on assembly characteristic deviation transmission according to the transmission entropy and the assembly characteristic deviation transmission network model, determining topological relation among assembly deviation variables and indexes for measuring causality by using the transmission entropy, disclosing an assembly deviation propagation mechanism and a coupling rule of the complex structure product in a small-batch development mode, and realizing the assembly tolerance optimization of the complex structure product in a small-batch production mode.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a flow chart of a method for transmission quantitative analysis of assembly characteristic deviations according to an embodiment of the present invention;
FIG. 2 is a diagram of an assembled feature deviation hierarchical entropy network according to an embodiment of the present invention;
fig. 3 is a block diagram of a system for transmission quantitative analysis of assembly characteristic deviations according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention aims to provide a transfer quantitative analysis method and a transfer quantitative analysis system for assembly characteristic deviation, so as to realize transfer quantitative analysis of the assembly characteristic deviation in a small-batch production mode and improve the precision of quantitative analysis.
In order to make the aforementioned objects, features and advantages of the present invention more comprehensible, the present invention is described in detail with reference to the accompanying drawings and the detailed description thereof.
Fig. 1 is a flowchart of a transfer quantitative analysis method of assembly characteristic deviations according to an embodiment of the present invention, and as shown in fig. 1, the present invention provides a transfer quantitative analysis method of assembly characteristic deviations, where the transfer quantitative analysis method includes:
step S1: measuring the assembly characteristic deviation of different erection unit of the airplane to obtain the assembly characteristic deviation of each assembly unit;
step S2: determining a transfer entropy according to the assembly characteristic deviation of the two assembly units;
step S3: constructing an assembly characteristic deviation transmission network model according to the assembly characteristic deviation of each assembly unit;
step S4: and carrying out quantitative analysis on the transmission of the assembly characteristic deviation according to the transmission entropy and the assembly characteristic deviation transmission network model.
The individual steps are discussed in detail below:
Step S1: measuring the assembly characteristic deviation of the assembly units of different airplanes to obtain the assembly characteristic deviation of each assembly unit; specifically, the method adopts a three-coordinate measuring machine, a laser tracker or a laser scanner and other digital measuring equipment to measure the assembly characteristic deviation of different assembly units of the airplane with different numbers, and obtains the assembly characteristic deviation of each assembly unit.
Step S2: the determining of the transfer entropy according to the assembly characteristic deviation of the two assembly units specifically comprises:
the transfer entropy is a new branch of the information entropy theory, can describe the information quantity of information transfer between systems, can also depict the directivity of the information transfer between the systems and the dynamic nonlinear characteristic of the information transfer between the systems, and can effectively express the action relationship between variables. The method is characterized in that a multi-source uncertain error source exists in each assembly stage of a complex product, and the transfer quantity of assembly characteristic deviation depends on the assembly accumulated error after the assembly of an assembly unit is completed, so that an assembly characteristic deviation transfer entropy formula is determined, and the specific formula is as follows:
wherein, TJ→IThe transfer entropy transferred from assembly unit J to assembly unit I, N is the length of the detected data, x nAnd ynAssembly characteristic deviation, x, of two assembly units of the nth aircraftn+1Representing the assembly feature deviation of the (n + 1) th frame, k and l are the implant dimensions of x and y, respectively,
p () is a conditional probability.
In order to calculate the transmission entropy of the assembly deviation information, effective probability density estimation needs to be adopted for the detection data, and the kernel density estimation is a method for researching data distribution characteristics from the data. It does not impose any assumptions on the data distribution, without using a priori knowledge about the data distribution. For this purpose, by using the kernel density estimation, the transfer entropy is calculated according to the assembly characteristic deviation transfer entropy formula and the assembly characteristic deviations of the two assembly units, wherein the specific formula is as follows:
wherein, TJ→IThe entropy of the transfer passed from assembly unit J to assembly unit I, N is the length of the detection data,
for nuclear density estimation, xnAnd ynAssembly characteristic deviation, x, of two assembly units of the nth aircraftn+1Deviation of Assembly characteristics, k and l, representing the n +1 st shelfThe implant dimensions of x and y respectively,
fig. 2 is a hierarchical entropy network diagram of assembly characteristic deviations according to an embodiment of the present invention, and as shown in fig. 2, transmission entropy between assembly characteristic deviations of an I-th assembly unit and a J-th assembly unit is given. The line with an arrow from the layer I to the layer J represents the assembly deviation relation between different assembly levels, the solid gray arrow represents the tracing source of the assembly characteristic deviation, and the dotted gray arrow represents the accumulation of the assembly deviation. The broken black arrows indicate the decomposition direction of the assembly deviation information, and the solid black arrows indicate the assembly relationship of different assembly units in the same assembly level. In FIG. 2 
Showing the assembled unit Pi1Assembly deviation and assembly unit
Entropy of assembly deviation of (a).
Step S3: constructing an assembly characteristic deviation transmission network model according to the assembly characteristic deviation of each assembly unit; specifically, the assembly characteristic deviation transfer network model is defined as G ═ V, L, E, S, FV,FE}, wherein: v represents the vertex set of the network, L records hierarchy information, E represents the set of directed edges, S is the set of record assembly unit parent-child relationships, FVTo define features at the vertices, FEAre features defined on the edge. Representing assembly units by vertexes, representing information transfer relation between assembly unit deviations by directed edges, if assembly unit I has deviation transfer information with assembly unit J, there is an edge pointing from J vertex to I vertex, length transfer entropy T of edgeJ→IQuantization is performed.
Step S4: the quantitative analysis of the assembly characteristic deviation transmission according to the transmission entropy and the assembly characteristic deviation transmission network model specifically comprises:
step S41: determining the transmission direction and the transmission value of the assembly characteristic deviation of the two assembly units according to the transmission entropy; in particular, using the transfer entropy TJ→ITo complete the dual characteristic evaluation of the assembly deviation of the two assembly units in the transmission direction and the transmission emphasis, the transmission entropy T J→IThe magnitude of the value indicates the transfer emphasis, the transfer entropy TJ→IThe positive and negative values of the values represent the transmission direction, and the dynamic relation quantitative description of the deviation information among the assembly units is realized.
Step S42: the method for transmitting and decomposing the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model specifically comprises the following steps:
step S421: transmitting and accumulating the assembling feature deviations of each assembling level by using the assembling feature deviation transmission network model; and expressing the action relation among variables by using the assembly characteristic deviation transfer network model, indicating the direction and the strength of the influence relation among the deviations of each assembly layer, and finishing the layer-by-layer transfer and accumulation of the assembly deviations.
Step S422: and decomposing and tracing the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model. Transmitting entropy T by utilizing the assembly characteristic deviation transmission network modelJ→IExchanging J to I in the formula, the transfer entropy T from I to J can be obtainedI→JAnd the layer-by-layer decomposition and tracing of the assembly deviation can be completed by using the method.
Fig. 3 is a structural diagram of a transfer quantitative analysis system of an assembly characteristic deviation according to an embodiment of the present invention, and as shown in fig. 3, the present invention further provides a transfer quantitative analysis system of an assembly characteristic deviation, where the transfer quantitative analysis system includes:
The acquisition module 1 is used for measuring the assembly characteristic deviation of the assembly units of different erected airplanes to acquire the assembly characteristic deviation of each assembly unit;
the transfer entropy determining module 2 is used for determining transfer entropy according to the assembly characteristic deviation of the two assembly units;
the assembling characteristic deviation transmission network model determining module 3 is used for constructing an assembling characteristic deviation transmission network model according to the assembling characteristic deviation of each assembling unit;
and the transmission quantitative analysis module 4 is used for carrying out transmission quantitative analysis on the assembly characteristic deviation according to the transmission entropy and the assembly characteristic deviation transmission network model.
The various modules are discussed in detail below:
the transfer entropy determining module 2 specifically includes:
the assembling characteristic deviation transfer entropy formula determining unit is used for determining an assembling characteristic deviation transfer entropy formula;
and the transfer entropy determining unit is used for calculating transfer entropy according to the assembling feature deviation transfer entropy formula and the assembling feature deviations of the two assembling units by utilizing kernel density estimation.
The transfer quantitative analysis module 4 specifically includes:
the first analysis unit is used for determining the transmission direction and the transmission value of the assembly characteristic deviation of the two assembly units according to the transmission entropy; the method specifically comprises the following steps:
The transmission and accumulation subunit is used for transmitting and accumulating the assembly characteristic deviations of each assembly level by using the assembly characteristic deviation transmission network model;
and the decomposition and source tracing subunit is used for decomposing and tracing the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model.
And the second analysis unit is used for transmitting and decomposing the assembling characteristic deviation of each assembling level by using the assembling characteristic deviation transmission network model.
Calculating transfer entropy according to the assembly characteristic deviation transfer entropy formula and the assembly characteristic deviation of the two assembly units by utilizing nuclear density estimation, wherein the specific formula is as follows:
wherein, TJ→IThe entropy of the transfer passed from assembly unit J to assembly unit I, N is the length of the detection data,
for nuclear density estimation, xnAnd ynAssembly characteristic deviation, x, of two assembly units of the nth aircraftn+1Representing the assembly feature deviation of the (n + 1) th frame, k and l are the implant dimensions of x and y, respectively,
data mining is an effective technology for searching an implicit relationship model from data, and a new way is provided for solving the problem. The invention introduces a small sample data mining and measurement information theory, realizes providing a new solution for the quantitative analysis of the assembling characteristic errors of the airplane products, can assist in solving the problem of assembling out-of-tolerance emerging when the important new-type airplanes are transited from small-batch production to batch production, guides the airplane batch production to correctly carry out the prevention work of assembling out-of-tolerance in time, and also provides a guide for the assembling quality control of other complex-structure products such as aerospace and the like.
Firstly, measuring the assembly characteristic deviation of different erection time airplane assembly units to obtain the assembly characteristic deviation of each assembly unit; secondly, determining a transfer entropy according to the assembly characteristic deviation of the two assembly units; then constructing an assembly characteristic deviation transmission network model according to the assembly characteristic deviation of each assembly unit; and finally, carrying out quantitative analysis on assembly characteristic deviation transmission according to the transmission entropy and the assembly characteristic deviation transmission network model, determining topological relation among assembly deviation variables and an index for measuring causality by using the transmission entropy, revealing an assembly deviation propagation mechanism and a coupling rule of the complex structure product in a small-batch development mode, and realizing the optimization of assembly tolerance of the complex structure product in a small-batch production mode.
In the present specification, the embodiments are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the description of the method part.
The principle and the embodiment of the present invention are explained by applying specific examples, and the above description of the embodiments is only used to help understanding the method and the core idea of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the foregoing, the description is not to be taken in a limiting sense.
Claims (6)
1. A transfer quantitative analysis method for assembling feature deviations is characterized by comprising the following steps:
measuring the assembly characteristic deviation of different erection unit of the airplane to obtain the assembly characteristic deviation of each assembly unit;
determining a transfer entropy according to the assembly characteristic deviation of the two assembly units;
constructing an assembly characteristic deviation transmission network model according to the assembly characteristic deviation of each assembly unit;
carrying out assembly characteristic deviation transmission quantitative analysis according to the transmission entropy and the assembly characteristic deviation transmission network model;
the determining of the transfer entropy according to the assembly characteristic deviation of the two assembly units specifically comprises:
determining an assembly characteristic deviation transfer entropy formula;
calculating a transfer entropy according to the assembling feature deviation transfer entropy formula and the assembling feature deviations of the two assembling units by utilizing nuclear density estimation;
The method comprises the following steps of utilizing kernel density estimation, and calculating transfer entropy according to the assembly characteristic deviation transfer entropy formula and the assembly characteristic deviation of two assembly units, wherein the specific formula is as follows:
wherein, TJ→IThe entropy of the transfer passed from assembly unit J to assembly unit I, N is the length of the detection data,
for kernel density estimation, xnAnd ynAssembly characteristic deviation, x, of two assembly units of the nth aircraftn+1Representing the assembly feature deviation of the (n + 1) th frame, k and l are the implant dimensions of x and y respectively,
2. the transfer quantitative analysis method according to claim 1, wherein the performing the transfer quantitative analysis of the assembly characteristic deviation according to the transfer entropy and the assembly characteristic deviation transfer network model specifically comprises:
determining the transmission direction and the transmission value of the assembly characteristic deviation of the two assembly units according to the transmission entropy;
and transmitting and decomposing the assembling feature deviation of each assembling level by using the assembling feature deviation transmission network model.
3. The transfer quantitative analysis method according to claim 2, wherein the transferring and decomposing of the assembly characteristic deviations of each assembly level by using the assembly characteristic deviation transfer network model specifically comprises:
Transmitting and accumulating the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model;
and decomposing and tracing the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model.
4. A system for transitive quantitative analysis of assembly characteristic deviations, the system comprising:
the acquisition module is used for measuring the assembly characteristic deviation of the assembly units of different airplanes to acquire the assembly characteristic deviation of each assembly unit;
the transfer entropy determining module is used for determining transfer entropy according to the assembling characteristic deviation of the two assembling units;
the assembling characteristic deviation transmission network model determining module is used for constructing an assembling characteristic deviation transmission network model according to the assembling characteristic deviation of each assembling unit;
the transmission quantitative analysis module is used for carrying out transmission quantitative analysis on the assembly characteristic deviation according to the transmission entropy and the assembly characteristic deviation transmission network model;
the transfer entropy determining module specifically includes:
the assembling characteristic deviation transfer entropy formula determining unit is used for determining an assembling characteristic deviation transfer entropy formula;
the transfer entropy determining unit is used for calculating transfer entropy according to the assembling feature deviation transfer entropy formula and the assembling feature deviations of the two assembling units by utilizing kernel density estimation;
The method comprises the following steps of utilizing kernel density estimation, and calculating transfer entropy according to the assembly characteristic deviation transfer entropy formula and the assembly characteristic deviation of two assembly units, wherein the specific formula is as follows:
wherein, TJ→IThe entropy of the transfer passed from assembly unit J to assembly unit I, N is the length of the detection data,
for kernel density estimation, xnAnd ynAssembly characteristic deviation, x, of two assembly units of the nth aircraftn+1Representing the assembly feature deviation of the (n + 1) th frame, k and l are the implant dimensions of x and y, respectively,
5. the system according to claim 4, wherein the transfer quantization analysis module specifically includes:
the first analysis unit is used for determining the transmission direction and the transmission value of the assembly characteristic deviation of the two assembly units according to the transmission entropy;
and the second analysis unit is used for transmitting and decomposing the assembling characteristic deviation of each assembling level by using the assembling characteristic deviation transmission network model.
6. The transfer quantification analysis system according to claim 5, wherein the first analysis unit specifically comprises:
the transmission and accumulation subunit is used for transmitting and accumulating the assembly characteristic deviations of each assembly level by using the assembly characteristic deviation transmission network model;
And the decomposition and source tracing subunit is used for decomposing and tracing the assembly characteristic deviation of each assembly level by using the assembly characteristic deviation transmission network model.
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