CN101982821A - Method for reasoning assembly tolerance standard and tolerance zone type of complex assembly body - Google Patents

Abstract

The invention discloses a method for the reasoning assembly tolerance standard and tolerance zone type of a complex assembly body. The method comprises the following steps: (1) constructing a three-dimensional assembling model of a product; (2) splitting the assembling model; (3) establishing an assembly relation matrix between the components; (4) extracting assembly characteristic faces, and establishing a constraint relation matrix between the assembly characteristic faces; (5) reasoning the assembly constraint type; (6) reasoning the assembly tolerance types; (7) reasoning datum reference frames of the assembly characteristic faces; and (8) reasoning the set function of the tolerance zone, and determining the type of the tolerance zone. In the invention, a polychromatic set reasoning relation matrix is adopted to describe the whole reasoning process and is easily programmed, therefore, the method can be rapidly realized in a computer. The invention is established on the basis of the relation and constrain between the concrete assembly characteristic faces, can realize the practical design of the assembly tolerance, satisfies the requirements of Top-down design technique, conforms to the logical thinking habits of the designers, and has very strong applicability.

Description

A kind of complicated assembly build-up tolerance standard and tolerance range type inferencing method thereof

Technical field:

The invention belongs to computer aided tolerance design (CAT) field, be specifically related to a kind of based on the complicated assembly build-up tolerance standard of polychromatic sets theory and the inference method of tolerance range type thereof.

Background technology:

The design of most of products and manufacturing relate to the assembly problem of part or assembly unavoidably.Build-up tolerance is not only directly determining the assembling capacity and the assembly quality of product, but also greatly affects the manufacturing cost and the serviceable life of product.Therefore, in the development phase of new product, build-up tolerance standard reasonable in design just seems extremely important.At present, three-dimensional CAD technology has obtained using widely in the design phase of product life cycle.In most of CAD moulding systems, their core is the solid modelling device, the deviser can based on the ideal dimensions human-computer interaction set up the three-dimensional assembling model of product.These systems can express the geological information of part quickly and accurately, and some dimensional tolerence information are provided.But, between these geometric datas and the tolerance information transmitted, there is not effective contact, simultaneously, the tolerance information that is provided does not comprise the corresponding engineering meaning of one's words yet.Number of C AT system is devoted to the design of tolerance standard.For example, CATIA, 3DFDT ^TMSystem just can provide the tolerance type automatically, but it can only provide partial geometry tolerance type after the assembling model of product and its TTRS tree are set up; In CE/TOL 6 Sigma systems, can only obtain the tolerance standard by hand; And also must be by the manual tolerance standard that obtains in the eM-TolMate system.Therefore, the CAD/CAT system needs a kind of tolerance information processing module urgently, and it can intactly describe the three-dimensional build-up tolerance information of product, helps engineering technical personnel's analysis-by-synthesis and design size tolerance and geometric tolerances.The The Automation Design that how to realize the build-up tolerance standard be the CAD/CAT system can realize effective integration one of the key issue that must solve.

Summary of the invention:

The present invention mainly solves the design problem of complicated assembly build-up tolerance standard and tolerance range type thereof, and purpose is to provide a kind of solution effectively for computer aided tolerance designs (CAT).This method satisfies the demand of " Top-down " designing technique, meets the logical thinking custom of deviser in complex product tolerance design process, has more intense applicability.This method is set up unified mathematical model based on polychromatic sets theory, has realized the reasoning of the tolerance range type of build-up tolerance standard and correspondence thereof.Because the derivation relationship matrix of polychromatic sets is easy to programming, therefore this method realizes easily on computers, is convenient to CAD system integrated.This technical method makes the design of build-up tolerance standard go a step further before concrete assembling geometric properties direction, for certain effort has been made in the practicability design of build-up tolerance standard.The present invention provides a kind of new method for automated reasoning build-up tolerance standard in the CAT system and build-up tolerance belt type.

A kind of complicated assembly build-up tolerance standard and tolerance range type inferencing method thereof, its step is as follows:

(1) makes up the three-dimensional objects assembling model.According to the functional requirement of product, based on the three-dimensional assembling model of ideal dimensions deisgn product.

(2) split assembling model.According to the structure of product, assembling model is resolved into parts and part continuously, until decomposing minimum component units: part.

(3) set up assembly relation matrix between part.Complex parts comprise a large amount of parts, in order clearly to describe the assembly relation between the part, are extracting under the prerequisite of assembly constraint relation automatically, at first extract the assembly constraint relation from the three-dimensional model of product, set up the assembly constraint graph of a relation between part.Then, based on the assembly constraint relation, set up the assembly relation matrix.

(4) extract the assembly features face, set up the restriction relation matrix.The assembly constraint relation of a certain part that obtains according to step 3 can be proceeded to decompose to obtain assembly features face separately with this part with other parts that it has an assembly constraint relation.On this basis, set up the restriction relation matrix of assembly features face.

(5) reasoning assembly constraint type.According to the geometric properties of two assembly features faces, infer the assembly constraint type between them.

(6) reasoning build-up tolerance type.According to the derivation relationship matrix of assembly constraint type between the two assembly features faces and build-up tolerance type, reasoning obtains the build-up tolerance function of assembly features face correspondence.Functional requirement and the geometry site of two assembly features faces in three dimensions according to product carry out the selection and the optimization of build-up tolerance type, join tolerance to determine an assembling that belongs to two assembly features faces.

(7) the reference framework of reasoning assembly features face.Analyze the geometric properties of assembly features face, determine its corresponding relation with basic assembly features face, reasoning obtains pairing reference framework.

(8) reasoning tolerance range geometric function is determined the tolerance range type.The build-up tolerance type of the assembly features face that obtains according to step 6, utilize geometric tolerances tolerance range derivation relationship matrix, reasoning obtains the tolerance range set function corresponding to each class build-up tolerance type, based on the change in location feature of assembly features face or its minimum how much reference element MGDEs, determine tolerance range type then corresponding to the geometric tolerances of assembly features face.

The present invention adopts the whole reasoning process of derivation relationship matrix description of polychromatic sets, is easy to programming and also can realizes fast in computing machine.The present invention is based upon on the basis of contact between the concrete assembly features face and constraint, can realize the practicability design of build-up tolerance.It satisfies the demand of Top-down designing technique, meets deviser's logical thinking custom, and very strong applicability is arranged.

Description of drawings:

Fig. 1 is the expansion hierarchy type representation model figure of three-dimensional build-up tolerance standard of the present invention and tolerance range;

Fig. 2 is the assembly relation matrix diagram between part of the present invention;

Fig. 3 is the restriction relation matrix diagram of assembly features face of the present invention;

Fig. 4 is an assembly constraint type inferencing relational matrix of the present invention;

Fig. 5 is an assembly constraint type of the present invention

Fig. 6 is a build-up tolerance type inferencing relational matrix of the present invention

Fig. 7 is the reference framework of assembly features face of the present invention

Fig. 8 is a geometric tolerances tolerance range type inferencing relational matrix of the present invention.

Fig. 9 is the gear reducer partial view

Figure 10 is the assembly broken away view

Figure 11 is a speed reduction unit assembly constraint graph of a relation

Figure 12 is a gear reducer assembly relation matrix

Figure 13 is the assembly features face of part

Figure 14 is with part P ₁₀Relevant assembly features face

Figure 15 is part P ₁₀The assembly constraint relational matrix of assembly features face

Figure 16 is the reference framework of reasoning assembly features face

Figure 17 is the reference framework of assembly features face

Figure 18 is a reasoning tolerance range set function

Figure 19 is the build-up tolerance type and the tolerance range type of assembly features face

Embodiment:

In conjunction with the embodiment that Fig. 1～8 and inventor provide according to the technology of the present invention method, the present invention is described in further detail.

Below, be that example illustrates whole reasoning process with a certain gear reducer.In order to reduce the complexity of problem, only with the drive mechanism between two transmission shafts of gear reducer as research object, do not consider the assembling of speed reduction unit end cap, axle key, felt O-ring seal and the reasoning of their build-up tolerance simultaneously.Rolling bearing is a standard component, does not therefore need to consider the reasoning of the mounted inside tolerance of bearing own.But rolling bearing is indispensable to the various derivation relationship matrixes that make up between part, therefore, bearing must be done as a whole research.

Step 1: make up the product assembling model.According to the functional requirement of product, based on the assembling model of ideal dimensions deisgn product.The partial view of gear reducer is as shown in Figure 9:

Step 2: split assembling model.According to the structure of product, assembling model is resolved into parts and part continuously, until decomposing minimum component units: part.The drive mechanism of decomposition speed reduction unit as shown in figure 10.Wherein, P ₀₁The expression bearing (ball) cover; P ₀₂, pad; P ₀₃, rolling bearing; P ₀₄, retaining oil seal ring; P ₀₅, the intermediate propeller shaft gear; P ₀₆, retaining oil seal ring; P ₀₇, rolling bearing; P ₀₈, bearing cap; P ₀₉, casing; P ₁₀, intermediate propeller shaft; P ₁₁, slow-speed shaft; P ₁₂, bearing cap; P ₁₃, pad; P ₁₄, rolling bearing; P ₁₅, retaining oil seal ring; P ₁₆, the slow-speed shaft gear; P ₁₇, retaining oil seal ring; P ₁₈, rolling bearing; P ₁₉, bearing cap; P ₁₉, axle sleeve.

Step 3: set up the assembly relation matrix between part.Complex parts comprise a large amount of parts, in order clearly to describe the assembly relation between the part, are extracting under the prerequisite of assembly constraint relation automatically, at first extract the assembly constraint relation from the three-dimensional model of product, set up the assembly constraint graph of a relation between part.Then, based on the assembly constraint relation, set up the assembly relation matrix.The assembly constraint graph of a relation of gear reducer as shown in figure 11, the assembly relation matrix is as shown in figure 12.The assembly constraint relation of all parts can obtain in matrix.For example, can reasoning obtain part P ₉, P ₁₀Restriction relation as follows:

$E_{\mathrm{ACR}\left(P_{09}\right)}=\{{\mathrm{<figure-callout\; id="01"\; label="P"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">P</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="02"\; label="P"\; filenames="HDA0000029572820000091.png,HDA0000029572820000141.png"\; state="\{\{state\}\}">P</figure-callout>}}_{02},{\mathrm{<figure-callout\; id="03"\; label="P"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">P</figure-callout>}}_{03},{\mathrm{<figure-callout\; id="07"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{07},{\mathrm{<figure-callout\; id="08"\; label="P"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">P</figure-callout>}}_{08},{\mathrm{<figure-callout\; id="12"\; label="P"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">P</figure-callout>}}_{12},{\mathrm{<figure-callout\; id="13"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{13},{\mathrm{<figure-callout\; id="14"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{14},{\mathrm{<figure-callout\; id="18"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{18},P_{19}\}---\left(1\right)$

$E_{\mathrm{ACR}\left(P_{10}\right)}=\{{\mathrm{<figure-callout\; id="03"\; label="P"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">P</figure-callout>}}_{03},{\mathrm{<figure-callout\; id="04"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{04},P_{05},{\mathrm{<figure-callout\; id="06"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{06},{\mathrm{<figure-callout\; id="07"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{07},P_{16}\}---\left(2\right)$

Step 4: extract the assembly features face, set up the restriction relation matrix.The assembly constraint relation of a certain part that obtains according to step 3 can be proceeded to decompose to obtain assembly features face separately with this part with other parts that it has an assembly constraint relation.On this basis, set up the restriction relation matrix of assembly features face.Below, with part P ₁₀The restriction relation matrix that how to make up the assembly features face is described for example.As shown in Equation 2, part P ₁₀Respectively with part P ₀₃, P ₀₄, P ₀₅, P ₀₆, P ₀₇And P ₁₆The assembly constraint relation is arranged.Extract their assembly features and look like shown in Figure 13.Wherein, F _{I (Pj)}Expression part P _iJ assembly features face.

The available following formulate of the assembly features face of above-mentioned part:

${\mathrm{<figure-callout\; id="03"\; label="P"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">P</figure-callout>}}_{03}=\{F_{1\left(P_{03}\right)},F_{2\left(P_{03}\right)},F_{3\left(P_{03}\right)},F_{4\left(P_{03}\right)}\},$

${\mathrm{<figure-callout\; id="04"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{04}=\{F_{1\left(P_{04}\right)},F_{2\left(P_{04}\right)},F_{3\left(P_{04}\right)}\},$

$P_{05}=\{F_{1\left(P_{05}\right)},F_{2\left(P_{05}\right)},F_{3\left(P_{05}\right)},F_{4\left(P_{05}\right)}\},$

${\mathrm{<figure-callout\; id="06"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{06}=\{F_{1\left(P_{06}\right)},F_{2\left(P_{06}\right)},F_{3\left(P_{06}\right)}\},$

${\mathrm{<figure-callout\; id="07"\; label="P"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{07}=\{F_{1\left(P_{07}\right)},F_{2\left(P_{07}\right)},F_{3\left(P_{07}\right)},F_{4\left(P_{07}\right)}\},---\left(3\right)$

${\mathrm{<figure-callout\; id="10"\; label="P"\; filenames="HDA0000029572820000081.png,HDA0000029572820000091.png"\; state="\{\{state\}\}">P</figure-callout>}}_{10}=\{F_{1\left(P_{10}\right)},F_{2\left(P_{10}\right)},F_{3\left(P_{10}\right)},F_{4\left(P_{10}\right)}{,F}_{5\left(P_{10}\right)},F_{6\left(F_{10}\right)},F_{7\left(p_{10}\right)}\},$

${\mathrm{<figure-callout\; id="16"\; label="P"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">P</figure-callout>}}_{16}=\{F_{1\left(P_{16}\right)},F_{2\left(P_{16}\right)},F_{3\left(P_{16}\right)},F_{4\left(P_{16}\right)}\}.$

Reasoning obtains part P ₁₀The assembly constraint relation of assembly features face as follows:

$C_{P_{10}\left(P_{03}\right)}=\left\{{(F_{1\left(P_{10}\right)},F_{4\left(P_{03}\right)})}_1\right\},$

$C_{P_{10}\left(P_{04}\right)}=\{{(F_{2\left(P_{10}\right)},F_{2\left(P_{04}\right)})}_1,{(F_{1\left(P_{10}\right)},F_{3\left(P_{04}\right)})}_2\},$

$C_{P_{10}\left(P_{05}\right)}=\{{(F_{3\left(P_{10}\right)},F_{1\left(P_{05}\right)})}_1,{(F_{6\left(P_{10}\right)},F_{4\left(P_{05}\right)})}_2\},$

$C_{P_{10}\left(P_{06}\right)}=\left\{{(F_{5\left(P_{10}\right)},F_{1\left(P_{06}\right)})}_1\right\},---\left(4\right)$

$C_{P_{10}\left(P_{07}\right)}=\left\{{(F_{5\left(P_{10}\right)},F_{4\left(P_{07}\right)})}_1\right\},$

$C_{P_{10}\left(P_{16}\right)}=\left\{{(F_{7\left(P_{10}\right)},F_{4\left(P_{16}\right)})}_1\right\}.$

Step 5: reasoning assembly constraint type.According to the geometric properties of two assembly features faces, infer the assembly constraint type between them.For example, the assembly features face F in the formula (4) _{1 (P10)}And F _{4 (P03)}Be respectively external cylindrical surface and inner cylinder face.According to assembly constraint type inferencing relational matrix (see figure 4) and assembly constraint type (see figure 5), assembly features face F1 _(P10)And F4 _(P03)Between the assembly constraint type be

Represent with symbol M 14.The assembly constraint type that reasoning obtains assembly features face in the formula (4) as shown in Equation (5).

${(F_{1\left(P_{10}\right)},F_{4\left(P_{03}\right)})}_1\&RightArrow;\{S_{\mathrm{ocys}}\&LeftRightArrow;S_{\mathrm{icys}}\}\&RightArrow;{\mathrm{<figure-callout\; id="14"\; label="M"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">M</figure-callout>}}_{14}$

${(F_{2\left(P_{10}\right)},F_{2\left(P_{04}\right)})}_1\&RightArrow;\{S_{\mathrm{ps}}\&LeftRightArrow;S_{\mathrm{ps}}\}\&RightArrow;{\mathrm{<figure-callout\; id="08"\; label="M"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">M</figure-callout>}}_{08}$

${(F_{1\left(P_{10}\right)},F_{3\left(P_{04}\right)})}_2\&RightArrow;\{S_{\mathrm{ocys}}\&LeftRightArrow;S_{\mathrm{icys}}\}\&RightArrow;{\mathrm{<figure-callout\; id="14"\; label="M"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">M</figure-callout>}}_{14}$

${(F_{3\left(P_{10}\right)},F_{1\left(P_{05}\right)})}_1\&RightArrow;\{S_{\mathrm{ps}}\&LeftRightArrow;S_{\mathrm{ps}}\}\&RightArrow;{\mathrm{<figure-callout\; id="08"\; label="M"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">M</figure-callout>}}_{08}$

${(F_{6\left(P_{10}\right)},F_{4\left(P_{05}\right)})}_2\&RightArrow;\{S_{\mathrm{ocys}}\&LeftRightArrow;S_{\mathrm{icys}}\}\&RightArrow;M_{14}---\left(5\right)$

${(F_{5\left(P_{10}\right)},F_{1\left(P_{06}\right)})}_1\&RightArrow;\{S_{\mathrm{ocys}}\&LeftRightArrow;S_{\mathrm{icys}}\}\&RightArrow;{\mathrm{<figure-callout\; id="14"\; label="M"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">M</figure-callout>}}_{14}$

${(F_{5\left(P_{10}\right)},F_{4\left(P_{07}\right)})}_1\&RightArrow;\{S_{\mathrm{ocys}}\&LeftRightArrow;S_{\mathrm{icys}}\}\&RightArrow;{\mathrm{<figure-callout\; id="14"\; label="M"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">M</figure-callout>}}_{14}$

${(F_{7\left(P_{10}\right)},F_{4\left(P_{16}\right)})}_1\&RightArrow;\{S_{\mathrm{ocys}}\&LeftRightArrow;S_{\mathrm{icys}}\}\&RightArrow;{\mathrm{<figure-callout\; id="13"\; label="M"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">M</figure-callout>}}_{13}$

Step 6: reasoning build-up tolerance type.According to the derivation relationship matrix of assembly constraint type between the two assembly features faces and build-up tolerance type, reasoning obtains the build-up tolerance function of assembly features face correspondence.Functional requirement and the geometry site of two assembly features faces in three dimensions according to product carry out the selection and the optimization of build-up tolerance type, join tolerance to determine an assembling that belongs to two assembly features faces.Rolling bearing P ₀₃And P ₀₇Therefore be standard component, do not need to consider the build-up tolerance type between their intrawares, the part.Based on the derivation relationship matrix (see figure 6) of build-up tolerance type, it is as follows that reasoning obtains in the formula (5) the build-up tolerance function of assembly features face:

$T_f\left[M_{14}{(F_{1\left(p_{10}\right)}\&LeftRightArrow;F_{4\left(p_{03}\right)})}_1\right]=\{({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),(),(),\left(F_{17}\right)\}$

$T_f\left[M_{08}{(F_{2\left(p_{10}\right)}\&LeftRightArrow;F_{2\left(p_{04}\right)})}_1\right]=\left\{\begin{array}{c}({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{02}),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{02}),({\mathrm{<figure-callout\; id="10"\; label="F"\; filenames="HDA0000029572820000081.png,HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{10},F_{11},{\mathrm{<figure-callout\; id="12"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{12},{\mathrm{<figure-callout\; id="13"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{13},{\mathrm{<figure-callout\; id="14"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{14},F_{16}),\\ ({\mathrm{<figure-callout\; id="17"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{17},F_{18})\end{array}\right\}$

$T_f\left[M_{14}{(F_{1\left(p_{10}\right)}\&LeftRightArrow;F_{3\left(p_{04}\right)})}_2\right]=\{({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),(F_{15}),\left(F_{17}\right)\}$

$T_f\left[M_{08}{(F_{3\left(p_{10}\right)}\&LeftRightArrow;F_{1\left(p_{05}\right)})}_1\right]=\left\{\begin{array}{c}({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{02}),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{02}),({\mathrm{<figure-callout\; id="10"\; label="F"\; filenames="HDA0000029572820000081.png,HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{10},F_{11},{\mathrm{<figure-callout\; id="12"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{12},{\mathrm{<figure-callout\; id="13"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{13},{\mathrm{<figure-callout\; id="14"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{14},F_{16}),\\ ({\mathrm{<figure-callout\; id="17"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{17},F_{18})\end{array}\right\}$

$T_f\left[M_{14}{(F_{6\left(p_{10}\right)}\&LeftRightArrow;F_{3\left(p_{05}\right)})}_2\right]=\{({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),(F_{15}),\left(F_{17}\right)\}---\left(6\right)$

$T_f\left[M_{14}{(F_{5\left(p_{10}\right)}\&LeftRightArrow;F_{1\left(p_{06}\right)})}_1\right]=\{({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),(F_{15}),\left(F_{17}\right)\}$

$T_f\left[M_{14}{(F_{5\left(p_{10}\right)}\&LeftRightArrow;F_{4\left(p_{07}\right)})}_1\right]=\{({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),(),(),\left(F_{17}\right)\}$

$T_f\left[M_{13}{(F_{7\left(p_{10}\right)}\&LeftRightArrow;F_{4\left(p_{16}\right)})}_1\right]=\left\{\begin{array}{c}({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},f_{04}),\\ ({\mathrm{<figure-callout\; id="07"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{07},{\mathrm{<figure-callout\; id="08"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{08},F_{11},{\mathrm{<figure-callout\; id="12"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{12},{\mathrm{<figure-callout\; id="13"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{13},F_{14}),({\mathrm{<figure-callout\; id="17"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{17},F_{18})\end{array}\right\}$

According to the selection and the optimization principles of build-up tolerance type, but that reasoning obtains in the formula (6) the build-up tolerance type between any two assembly features faces is as follows:

$T_f\left[M_{14}{(F_{1\left(p_{10}\right)}\&LeftRightArrow;F_{4\left(p_{03}\right)})}_1\right]=\{({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},F_{04}),(),(),\left(F_{17}\right)\}$

$T_f\left[M_{08}{(F_{2\left(p_{10}\right)}\&LeftRightArrow;F_{2\left(p_{04}\right)})}_1\right]=\{\left(F_{02}\right),(F_{02}),(F_{12}),\left(\right)\}$

$T_f\left[M_{14}{(F_{1\left(p_{10}\right)}\&LeftRightArrow;F_{3\left(p_{04}\right)})}_2\right]=\{\left({\mathrm{<figure-callout\; id="01"\; label="f"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">f</figure-callout>}}_{01},F_{03}\right),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{03}),(F_{15}),\left(F_{17}\right)\}$

$T_f\left[M_{08}{(F_{3\left(p_{10}\right)}\&LeftRightArrow;F_{1\left(p_{05}\right)})}_1\right]=\{\left(F_{02}\right),(F_{02}),(F_{12}),\left(\right)\}$

$T_f\left[M_{14}{(F_{6\left(p_{10}\right)}\&LeftRightArrow;F_{4\left(p_{05}\right)})}_2\right]=\{\left({\mathrm{<figure-callout\; id="01"\; label="f"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">f</figure-callout>}}_{01},F_{03}\right),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{03}),(F_{15}),\left(F_{17}\right)\}---\left(7\right)$

$T_f\left[M_{14}{(F_{5\left(p_{10}\right)}\&LeftRightArrow;F_{1\left(p_{06}\right)})}_1\right]=\{\left({\mathrm{<figure-callout\; id="01"\; label="f"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">f</figure-callout>}}_{01},F_{03}\right),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{03}),(F_{15}),\left(F_{17}\right)\}$

$T_f\left[M_{14}{(F_{5\left(p_{10}\right)}\&LeftRightArrow;F_{4\left(p_{07}\right)})}_1\right]=\{({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},{\mathrm{<figure-callout\; id="03"\; label="F"\; filenames="HDA0000029572820000091.png,HDA0000029572820000122.png"\; state="\{\{state\}\}">F</figure-callout>}}_{03},),(),(),\left(F_{17}\right)\}$

$T_f\left[M_{13}{(F_{7\left(p_{10}\right)}\&LeftRightArrow;F_{4\left(p_{16}\right)})}_1\right]=\{\left({\mathrm{<figure-callout\; id="01"\; label="f"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">f</figure-callout>}}_{01},F_{03}\right),({\mathrm{<figure-callout\; id="01"\; label="F"\; filenames="HDA0000029572820000131.png"\; state="\{\{state\}\}">F</figure-callout>}}_{01},F_{03}),({\mathrm{<figure-callout\; id="07"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{07},F_{11}),({\mathrm{<figure-callout\; id="17"\; label="F"\; filenames="HDA0000029572820000091.png"\; state="\{\{state\}\}">F</figure-callout>}}_{17},F_{18})\}$

Step 7: the reference framework of reasoning assembly features face.Analyze the geometric properties of assembly features face, determine its corresponding relation with basic assembly features face (see figure 7), reasoning obtains pairing reference framework.According to Figure 16, but reasoning obtains the reference framework of assembly features face in the formula (7).For example, part P ₁₀Assembly features face F _{5 (P10)}Belong to basic assembly features face Socys, so its minimum how much benchmark element M GDE are lines, its reference framework is DRF ₀₃But the reference framework that reasoning obtains all assembly features faces in the formula (7) as shown in figure 17.

Step 8: reasoning tolerance range geometric function, determine the tolerance range type.The build-up tolerance type of the assembly features face that obtains according to step 6, utilize geometric tolerances tolerance range derivation relationship matrix (see figure 8), reasoning obtains the tolerance range set function corresponding to each class build-up tolerance type, based on the change in location feature of assembly features face or its minimum how much reference element MGDEs, determine tolerance range type then corresponding to the geometric tolerances of assembly features face.According to the build-up tolerance type that obtains in step 6 reasoning of assembly features face and their correspondences, the tolerance range set function that can reasoning obtains assembly features face in the formula (7) as shown in figure 18.Below, with a pair of assembly features face

Be example, describe the reasoning process of tolerance range geometric function.In Figure 18 (b), the assembly features face

Corresponding build-up tolerance type comprises F ₀₁And F ₀₃Corresponding to F ₀₁The tolerance range set function be F _TZ01={ T _Z4, T _Z6, T _Z8, corresponding to F ₀₃The tolerance range set function be F _TZ03={ T _Z2.The tolerance range set function of position of related features is F between the two assembly features faces _TZ15={ T _Z1, T _Z8.If the tolerance range set function of the build-up tolerance of a certain assembly features face only comprises a tolerance range type, the tolerance range of this tolerance has just been determined so.Otherwise, will further select the tolerance range type according to the shift in position characteristics of assembly features face or its MGDEs with respect to the constraint benchmark.For example, assembly features face

Build-up tolerance F ₀₁Corresponding build-up tolerance tape function F _TZ01={ T _Z4, T _Z6, T _Z8Comprise 3 tolerance range type: T _Z4, T _Z6And T _Z8Build-up tolerance F ₀₁The expression external cylindrical surface

The linearity of axis, so its tolerance range type the most always is defined as T _Z8Two assembly features faces

With

Between build-up tolerance F ₁₅Corresponding tolerance range set function F _TZ15={ T _Z1, T _Z8Comprise two tolerance range type T _Z1And T _Z8Build-up tolerance F ₁₅Represent two assembly features faces

With

Between right alignment, therefore select T _Z8As build-up tolerance F ₁₅The tolerance range type.Comprehensive above-mentioned The reasoning results can obtain part P ₁₀And have the build-up tolerance type and the tolerance range type of the assembly features face between other parts of assembly constraint relation with it, as shown in figure 19:

Above content is to further describing that the present invention did in conjunction with concrete preferred implementation; can not assert that the specific embodiment of the present invention only limits to this; for the general technical staff of the technical field of the invention; without departing from the inventive concept of the premise; can also make some simple deduction or replace, all should be considered as belonging to the present invention and determine scope of patent protection by claims of being submitted to.

Claims (7)

1. complicated assembly build-up tolerance standard and tolerance range type inferencing method thereof, it is characterized in that: step is as follows: (1) makes up the three-dimensional assembling model of product; (2) split assembling model; (3) set up assembly relation matrix between part; (4) extract the assembly features face, set up the restriction relation matrix between the assembly features face; (5) reasoning assembly constraint type; (6) reasoning build-up tolerance type; (7) the reference framework of reasoning assembly features face; (8) reasoning tolerance range set function is determined the tolerance range type.

2. as claim 1 described inference method, it is characterized in that:, utilize the Boolean matrix of polychromatic sets to make up assembly relation matrix between the product parts based on the assembly information of product.

3. as power 1 described inference method, it is characterized in that: decompose part, therefrom extract the characteristic face that has the assembly constraint relation with other parts, promptly assemble characteristic face.Utilize the Boolean matrix of polychromatic sets to set up restriction relation matrix between the assembly features face.

4. as power 1 described inference method, it is characterized in that:, utilize the Boolean matrix of polychromatic sets to set up the derivation relationship matrix of assembly constraint type according to the TTRS theory.

5. as power 1 described inference method, it is characterized in that:, set up the derivation relationship matrix of build-up tolerance type according to the professional knowledge in the product assembling field and ASME Y14,5M-2009 technical manual.

6. as power 1 described inference method, it is characterized in that: according to the definition of geometric tolerances band with and with the corresponding relation of geometric tolerances type, utilize the Boolean matrix of polychromatic sets to set up the derivation relationship matrix of geometric tolerances tolerance range type.

7. the inference method of complicated assembly build-up tolerance standard and tolerance range type thereof, its step is as follows:

(1) makes up the three-dimensional objects assembling model: according to the functional requirement of product, based on the three-dimensional assembling model of ideal dimensions deisgn product;

(2) split assembling model: according to the structure of product, assembling model is resolved into parts and part continuously, until decomposing minimum component units; The component units part of described minimum.

(3) set up assembly relation matrix between part: complex parts comprise a large amount of parts, in order clearly to describe the assembly relation between the part, automatically extracting under the prerequisite of assembly constraint relation, at first from the three-dimensional model of product, extract the assembly constraint relation, set up the assembly constraint graph of a relation between part; Then, based on the assembly constraint relation, set up the assembly relation matrix;

(4) extract the assembly features face, set up the restriction relation matrix: the assembly constraint relation of a certain part that obtains according to step (3), can proceed to decompose to obtain assembly features face separately with this part with other parts that it has an assembly constraint relation; On this basis, set up the restriction relation matrix of assembly features face;

(5) reasoning assembly constraint type:, infer the assembly constraint type between them according to the geometric properties of two assembly features faces;

(6) reasoning build-up tolerance type: according to the derivation relationship matrix of assembly constraint type between the two assembly features faces and build-up tolerance type, reasoning obtains the build-up tolerance function of assembly features face correspondence; Functional requirement and the geometry site of two assembly features faces in three dimensions according to product carry out the selection and the optimization of build-up tolerance type, join tolerance to determine an assembling that belongs to two assembly features faces;

(7) the reference framework of reasoning assembly features face: analyze the geometric properties of assembly features face, determine its corresponding relation with basic assembly features face, reasoning obtains pairing reference framework;

(8) reasoning tolerance range geometric function, determine the tolerance range type: the build-up tolerance type of the assembly features face that obtains according to step (6), utilize geometric tolerances tolerance range derivation relationship matrix, reasoning obtains the tolerance range set function corresponding to each class build-up tolerance type, based on the change in location feature of assembly features face or its minimum how much reference element MGDEs, determine tolerance range type then corresponding to the geometric tolerances of assembly features face.

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