CN116579086A - Calculation analysis method for catalyst packaging design - Google Patents
Calculation analysis method for catalyst packaging design Download PDFInfo
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- CN116579086A CN116579086A CN202310762073.3A CN202310762073A CN116579086A CN 116579086 A CN116579086 A CN 116579086A CN 202310762073 A CN202310762073 A CN 202310762073A CN 116579086 A CN116579086 A CN 116579086A
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- 238000004364 calculation method Methods 0.000 title claims abstract description 36
- 238000013461 design Methods 0.000 title claims abstract description 28
- 238000004806 packaging method and process Methods 0.000 title claims abstract description 24
- 238000004458 analytical method Methods 0.000 title claims abstract description 12
- 239000003054 catalyst Substances 0.000 title description 13
- 230000032683 aging Effects 0.000 claims abstract description 45
- 230000003197 catalytic effect Effects 0.000 claims abstract description 12
- 238000000034 method Methods 0.000 claims description 42
- 238000010205 computational analysis Methods 0.000 claims description 11
- 238000004519 manufacturing process Methods 0.000 claims description 8
- 238000012360 testing method Methods 0.000 claims description 8
- 238000002474 experimental method Methods 0.000 claims description 4
- 238000005259 measurement Methods 0.000 claims description 3
- 230000006835 compression Effects 0.000 abstract description 7
- 238000007906 compression Methods 0.000 abstract description 7
- 239000000919 ceramic Substances 0.000 description 6
- 230000008859 change Effects 0.000 description 6
- 230000014759 maintenance of location Effects 0.000 description 5
- 229910000831 Steel Inorganic materials 0.000 description 4
- 238000010586 diagram Methods 0.000 description 4
- 239000010959 steel Substances 0.000 description 4
- 238000005538 encapsulation Methods 0.000 description 3
- 239000000835 fiber Substances 0.000 description 3
- 239000007789 gas Substances 0.000 description 3
- 238000004422 calculation algorithm Methods 0.000 description 2
- 230000002950 deficient Effects 0.000 description 2
- 239000000463 material Substances 0.000 description 2
- 229910000510 noble metal Inorganic materials 0.000 description 2
- 239000000126 substance Substances 0.000 description 2
- 238000000342 Monte Carlo simulation Methods 0.000 description 1
- 230000001133 acceleration Effects 0.000 description 1
- PNEYBMLMFCGWSK-UHFFFAOYSA-N aluminium oxide Inorganic materials [O-2].[O-2].[O-2].[Al+3].[Al+3] PNEYBMLMFCGWSK-UHFFFAOYSA-N 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000003139 buffering effect Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 229910052751 metal Inorganic materials 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000004886 process control Methods 0.000 description 1
- 238000000746 purification Methods 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Classifications
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/15—Vehicle, aircraft or watercraft design
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2111/00—Details relating to CAD techniques
- G06F2111/08—Probabilistic or stochastic CAD
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
- Y02P90/30—Computing systems specially adapted for manufacturing
Abstract
The application discloses a calculation analysis method for a catalytic converter packaging design, which belongs to the technical field of automobile accessory design and comprises the steps of obtaining statistical data of shell inner diameter, carrier diameter and gasket weight, calculating the shell diameter and the carrier diameter, and the average value and standard deviation of the gasket weight, roughly calculating to obtain the rough average value and rough standard deviation of the density GBD after gasket compression, calculating to obtain peak pressure and minimum aging pressure under a corresponding gap, adjusting the width and density of a packaging gap and the gasket until the maximum pressure and the minimum aging pressure are in a rough range, generating a plurality of groups of characteristic data conforming to normal distribution according to the calculated rough value, carrying out normal statistics, calculating the accurate average value and the accurate standard deviation of the GBD, repeatedly calculating according to the accurate value to obtain the packaging gap and the gasket width and density until the maximum pressure and the minimum aging pressure are in the accurate range.
Description
Technical Field
The application belongs to the technical field of automobile accessory design, and particularly relates to a calculation and analysis method for a catalytic converter packaging design.
Background
The ternary catalyst is the most important external purifying device installed in the exhaust system of automobile and can make the CH, CO and NO exhausted from cylinder when gasoline engine is working X Purification of harmful gases to CO 2 、H 2 O、N 2 Since this catalyst can convert three main harmful substances in exhaust gas into harmless substances at the same time, it is called a three-way catalyst, which mainly consists of a ceramic carrier containing noble metal, a mat which plays a role of wrapping the carrier and buffering external load, and a housing which supports the mat and the carrier.
The liner is made of compressible ceramic fiber or polycrystalline alumina fiber, and the carrier is held and fixed by compressing the thickness of the liner to generate pressure; the shell is a heat-resistant and difficultly deformable metal shell; the ceramic carrier is a core of the three-way catalyst, the ceramic carrier is a honeycomb thin-wall part, the wall thickness is only 0.063mm, and the surface is coated with noble metal, thus the ceramic carrier belongs to a high-value part and is very fragile; the encapsulation of the catalyst is designed mainly around ensuring the reliability of the support during its lifetime.
The ceramic carrier, the steel shell and the gasket are in a mutually extruded state, so that the surface density of the gasket and the thickness of the steel shell can be changed; the steel shell is made of steel, the thickness change is small, and the thickness change rate can be predicted according to an empirical value; the change of the surface density of the gasket can influence the precision of the three-way catalyst, and two important indexes of the packaging design of the three-way catalyst are as follows: the maximum pressure during packaging must be less than the carrier pressure limit; the residual retention of the gasket after aging must be greater than the maximum acceleration and the ambient force at maximum gas pressure. The packaging Gap Density is an important condition for measuring the product precision of the three-way catalyst, the English name of the packaging Gap Density is Gap Bulk Density, GBD for short, which refers to the unit volume Density of a packaging Gap cushion layer, the GBD reflects the Density of a gasket in a Gap between a shell and a carrier, and if the GBD is too small, the gasket does not reach the necessary wrapping capacity of the carrier; if the GBD is too large, the fibers of the liner may fracture to affect the ability of the carrier to wrap; in addition, too large a GBD may cause the carrier to rupture due to excessive pressure.
The existing packaging design technology calculates the density of the packaged gasket according to the matched limit tolerance, and then compares the gasket test data to calculate the limit pressure and the residual pressure after packaging by a polynomial interpolation method. The maximum GBD calculating method comprises the steps of selecting the upper limit of the carrier diameter tolerance and the lower limit of the shell diameter tolerance to form a minimum gap, and then combining the minimum gap and the maximum surface density pad to form a maximum bulk density limit GBDmax; the minimum GBD calculating method comprises the steps of combining the lower limit of a carrier diameter tolerance and the upper limit of a shell diameter tolerance to form a maximum gap, and combining the maximum gap and a minimum surface density liner to form a maximum bulk density limit GBdmin; the formula of the polynomial interpolation method in the design method cannot be automatically adjusted, the aging pressure is related to the expansion coefficient of the gap besides the GBD, a polynomial curve of typical expansion rate and pressure under the corresponding GBD and the gap expansion rate is needed to be fitted for solving the pressure under the corresponding GBD and the gap expansion rate, then the pressure value is solved according to the corresponding expansion rate, and when the GBD value changes, the parameters of the polynomial change, and automatic calculation is difficult.
In addition, most of the existing design modes are limit tolerance matching design, defective rate in the manufacturing process is not considered, and the probability of combination of maximum carrier diameter and minimum cylinder diameter is (0.63 multiplied by 10) according to the process control capability of 1.33Cpk in manufacturing industry -6 )×(0.63×10 -6 ) Completely negligible, making the design severely superfluous.
Disclosure of Invention
Problems to be solved
Aiming at the problems that the formulas of the excessive design and the polynomial interpolation method cannot be automatically adjusted in the existing design method, the aging pressure is related to the expansion coefficient of the gap besides the GBD, the polynomial curve of the typical expansion rate and the pressure under the corresponding GBD and the gap expansion rate is needed to be fitted first to calculate the pressure under the corresponding GBD, then the pressure value is calculated according to the corresponding expansion rate, and the parameters of the polynomial are changed when the GBD value is changed, so that the automatic calculation is difficult.
Technical proposal
In order to solve the problems, the application adopts the following technical scheme.
A computational analysis method of a catalyst package design, comprising the steps of:
step 1, carrying out batch measurement on a shell, a carrier and a gasket before and after packaging to obtain statistical data of the inner diameter of the shell, the diameter of the carrier and the weight of the gasket;
step 2, calculating the shell diameter and the carrier diameter respectively by using statistical data through a normal distribution analysis method, and the average value and the standard deviation of the gasket weight;
step 3, performing rough calculation by using a least square method to obtain a rough average value and a rough standard deviation of the density GBD of the compressed gasket;
step 4, calculating the peak pressure of the gasket and GBD test data by adopting a Bessel one-dimensional interpolation method, and obtaining the peak pressure under the corresponding gap;
step 5, calculating the aging pressure of the liner and the test data of GBD and expansion rate by adopting a Bessel interpolation two-dimensional value method to obtain the lowest aging pressure under the corresponding gap;
step 6, checking and adjusting the width and density of the packaging gap and the gasket until the maximum pressure and the minimum aging pressure are in a rough range;
step 7, generating a plurality of groups of characteristic data conforming to normal distribution according to the rough value calculated in the step 3;
step 8, carrying out normal statistics on the generated multiple groups of characteristic data, and calculating an accurate average value and an accurate standard deviation of the GBD;
and 9, repeating the steps 4, 5 and 6 according to the accurate value calculated in the step 8 to obtain the packaging gap, the width and the density of the gasket until the maximum pressure and the minimum aging pressure are within the accurate range.
Preferably, the standard deviation in the step 2 has a calculation formula:
wherein T is a tolerance, and sigma is a standard deviation;
the calculation formula of the gap is:
f(d)＝D1-D2
wherein D1 is the inner diameter of the shell, and D2 is the diameter of the carrier
Further, the fit standard deviation sigma of the gap d The calculation formula is as follows:
wherein sigma D1 Standard deviation of D1, sigma D2 Standard deviation of D2;
wherein the method comprises the steps of
Preferably, the GBD tolerance rough calculation formula in step 3 is as follows:
where ρ is the nominal areal density and d is the nominal gap.
Further, the density and the gap are in fractional relation, and the density and the gap are formed by +sigma d And-sigma d Sigma of the cause GBD Inconsistencies, in order to manifest differences, require the respective pairs +σ d And-sigma d Both cases are corrected.
Still further, the gap is taken to a positive tolerance:
the gap goes through a negative tolerance:
preferably, the precise standard value and the precise standard deviation and tolerance range in the step 8 are calculated as follows:
further, the GBD and its tolerance need to be accurately calculated, so as to satisfy the production capacity, and according to the monte carlo principle, multiple groups of ρ, D1 and D2 data satisfying the actual production capacity level are randomly generated, so that N groups of GBD values are provided, and the N groups of GBD values are counted and calculated according to the following calculation formula:
preferably, before the Bessel one-dimensional interpolation method is calculated, a one-dimensional database of maximum pressures of various gaskets under the typical GBD is established through experiments, so that the Bessel one-dimensional interpolation function is written to calculate the ultimate pressure under any GBD value.
Preferably, before calculation by the Bessel interpolation two-dimensional value method, an aging pressure two-dimensional database of various gaskets under typical GBD and gap expansion rate needs to be established through experiments, and the implementation method is that a plurality of curves of aging pressure changing along with GBD under different expansion rates are firstly established, one-dimensional Bessel is respectively carried out on each curve to interpolate and calculate the aging pressure of a target GBD under each expansion rate, so that a curve of aging pressure and expansion rate under the target GBD is obtained, and then one-dimensional Bessel interpolation is carried out according to the target expansion rate, so that the aging pressure of the target GBD and the target expansion rate is obtained.
A calculation analysis method for a catalyst package design comprises the steps of carrying out batch measurement on a shell, a carrier and a liner before and after packaging, obtaining statistical data of the shell inner diameter, the carrier diameter and the liner weight, calculating the shell diameter and the carrier diameter, the average value and the standard deviation of the liner weight, roughly calculating to obtain the rough average value and the rough standard deviation of the density GBD of the liner after compression, calculating to obtain the peak pressure under a corresponding gap by adopting a Bessel interpolation one-dimensional method, calculating to obtain the lowest aging pressure under the corresponding gap by adopting the Bessel interpolation two-dimensional method, adjusting the width and the density of the package gap and the liner until the maximum pressure and the minimum aging pressure are in a rough range, generating a plurality of groups of characteristic data conforming to normal distribution according to the calculated rough value, carrying out normal statistics, calculating the accurate average value and the accurate standard deviation of the GBD, repeatedly calculating to obtain the package gap and the liner width and the density until the maximum pressure and the minimum aging pressure are in the accurate range, and the polynomial parameters change when the GBD value changes, and the automatic calculation is easy.
Advantageous effects
Compared with the prior art, the application has the beneficial effects that:
the application adopts a least square method to roughly and quickly calculate the density tolerance of the pad after packaging, and comprises the steps of using the partial derivative of a GBD calculation formula as the coefficient of the square sum of the tolerance and correcting the gap upper tolerance and the gap lower tolerance respectively; calculating peak pressure under the corresponding GBD by adopting a Bessel one-dimensional interpolation function; calculating aging pressure corresponding to GBD and gap expansion rate by adopting a Bessel two-dimensional interpolation function, checking and adjusting data until the maximum limiting pressure is smaller than the compression limit of the carrier, and obtaining preliminary package gap and liner width and density parameters when friction force under the aging pressure is larger than the minimum retention requirement;
accurately calculating the density tolerance of the pad packaged by adopting a Monte Carlo accurate probability simulation algorithm on the result of the least square method; repeatedly adopting a Bessel one-dimensional interpolation function to calculate peak pressure under the corresponding GBD; calculating aging pressure corresponding to GBD and gap expansion rate by adopting a Bessel two-dimensional interpolation function, checking and adjusting data until the maximum limiting pressure is smaller than the compression limit of the carrier, and obtaining preliminary package gap and liner width and density parameters when friction force under the aging pressure is larger than the minimum retention requirement;
according to the normal probability distribution of the tolerance of the cylinder, the carrier and the liner, firstly, the GBD value and the tolerance are roughly calculated by a least square method, then the limit pressure and the residual pressure after encapsulation are calculated by adopting liner test data through a Bezier interpolation formula, then the GBD value and the tolerance are accurately calculated by using a Monte Carlo method for the carrier and the liner parameters, the limit pressure and the residual pressure after encapsulation are calculated by adopting the liner test data through a Sazier interpolation formula again to obtain the designed accurate result, when the GBD value is changed, the parameters of the polynomial are changed, the calculation is easy, the calculation is automatic, the result calculated according to the method meets the requirement of CPK1.33 manufacturing capacity, and the defective product rate is only 0.63 multiplied by 10 -6 No excessive design exists.
Drawings
In order to more clearly illustrate the technical solutions of embodiments or examples of the present application, the drawings that are required to be used in the embodiments or examples description will be briefly described below, and it is apparent that the drawings in the following description are only some embodiments of the present application and should not be construed as limiting the scope, and other drawings may be obtained according to the drawings without inventive effort to those of ordinary skill in the art.
FIG. 1 is a schematic diagram of the steps of the present application;
FIG. 2 is a schematic diagram of the peak pressure of the present embodiment;
FIG. 3 is a graph showing a typical expansion ratio of the present embodiment;
FIG. 4 is a schematic diagram of the aging pressure of the present embodiment;
FIG. 5 is a schematic diagram of aging pressure at a specific GBD for the present embodiment;
FIG. 6 is a flow chart of the present application.
Detailed Description
For the purposes of making the objects, technical solutions and advantages of the embodiments of the present application more apparent, the technical solutions of the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application, and it is apparent that the described embodiments are some embodiments of the present application, but not all embodiments, and that the components of the embodiments of the present application generally described and illustrated in the drawings herein may be arranged and designed in various different configurations.
Thus, the following detailed description of the embodiments of the application, which are provided in the accompanying drawings, is not intended to limit the scope of the application as claimed, but is merely representative of selected embodiments of the application, based on which all other embodiments that may be obtained by one of ordinary skill in the art without making inventive efforts are within the scope of this application.
Examples
A calculation and analysis method for a catalyst package design mainly comprises the following steps:
measuring the shell, the carrier and the gasket before and after packaging to obtain characteristic data of the shell, the carrier and the gasket before and after packaging, calculating the gap between the shell and the carrier by using the characteristic data through a probability analysis method to obtain a tolerance meeting the manufacturing requirement, wherein a calculation formula of the relation between the tolerance and the standard deviation is preferably as follows:
wherein T is tolerance and sigma is standard deviation
The calculation formula of the gap is:
f(d)＝D1-D2
wherein D1 is the inner diameter of the shell, and D2 is the diameter of the carrier
Standard deviation sigma of clearance fit d The calculation formula is as follows:
wherein sigma D1 Standard deviation of D1, sigma D2 Standard deviation of D2;
wherein the method comprises the steps of
Calculating the density tolerance value of GBD after the gasket is compressed by using a probability analysis method to obtain the carrier diameter tolerance, the cylinder diameter and the gasket density tolerance, wherein the GBD is calculated according to the following formula:
where ρ is the nominal areal density and d is the nominal gap.
Because the density and the gap are in fractional relationship, the density is formed by +sigma d And-sigma d Sigma of the cause GBD Inconsistencies, which cannot be manifested in the above formulas, require +σ to be divided d And-sigma d Both cases are corrected.
When the gap is going to a positive tolerance:
when the gap goes through negative tolerance:
and (5) according to the shell inner diameter, the gasket width and the density data which are obtained through the initial calculation.
Calculating peak pressure under the corresponding GBD by adopting a Bessel one-dimensional interpolation function; calculating aging pressure corresponding to GBD and gap expansion rate by adopting a Bessel two-dimensional interpolation function, checking and adjusting data until the maximum limiting pressure is smaller than the compression limit of the carrier, and obtaining preliminary package gap and liner width and density parameters when friction force under the aging pressure is larger than the minimum retention requirement;
checking and adjusting the data until the maximum limiting pressure is smaller than the compression limit of the carrier and the friction force under the aging pressure is larger than the minimum holding force requirement, so as to obtain preliminary parameters of the inner diameter of the cylinder, the width of the liner and the density;
and randomly generating a plurality of groups of combinations conforming to a normal function according to the initial barrel inner diameter and the liner width by using a Monte Carlo analysis method, wherein a combination chart is as follows:
and (3) solving GBD values for each group of combinations, and finally counting samples of all GBD values, and calculating a standard value and a standard deviation and tolerance range, wherein the standard value and the standard deviation and tolerance range have the following calculation formulas as shown in figure 2:
the GBD average calculation formula is as follows:
accurately calculating density tolerance (GBD value) of the liner after packaging by adopting a Monte Carlo accurate probability simulation algorithm; repeatedly adopting a Bessel one-dimensional interpolation function to calculate peak pressure under the corresponding GBD; calculating aging pressure corresponding to GBD and gap expansion rate by adopting a Bessel two-dimensional interpolation function, checking and adjusting data until the maximum limiting pressure is smaller than the compression limit of the carrier, and obtaining preliminary package gap and liner width and density parameters when friction force under the aging pressure is larger than the minimum retention requirement; and (3) combining the GBD tolerance range calculated by the Monte Carlo analysis method with the GBD tolerance range calculated by the least square method to obtain the GBD tolerance range difference of the two calculation methods.
Calculating the gap expansion rate according to the expansion coefficient of the temperature and the material by using a Bessel interpolation method to obtain the aging pressure corresponding to the GBD and the gap expansion rate, obtaining the maximum pressure and the minimum aging pressure corresponding to the GBD and the gap expansion rate by using the Bessel interpolation method, measuring the peak pressure data under the typical density by using a test, constructing different GBD pressure curves under the typical expansion rate by using a Bessel one-dimensional interpolation function, and as shown in figure 3, updating the function like polynomial interpolation is not needed when basic data change, so that the programming is convenient to directly call.
When the aging pressure under the corresponding GBD is calculated, the aging pressure is related to the GBD data and the gap expansion rate, the data is a two-dimensional curved surface, and interpolation calculation is needed to be carried out on the GBD and the expansion coefficient respectively, as shown in fig. 4.
The method comprises the steps of obtaining peak pressure under the corresponding GBD, obtaining aging pressure under the corresponding GBD, correlating with GBD data and gap expansion rate, carrying out interpolation calculation on aging values under the corresponding GBD by utilizing a Bezier two-dimensional interpolation function on each pressure curve, obtaining curves of the corresponding GBD value changing along with gap expansion, calculating the gap expansion rate according to expansion coefficients of temperature and materials, obtaining aging pressure under the corresponding GBD and gap expansion rate, firstly constructing a plurality of curves of the aging pressure changing along with GBD under different expansion rates (figure 3), carrying out one-dimensional Bessel on each curve to calculate the aging pressure of a target GBD under each expansion rate in an interpolation mode, obtaining a curve of the aging pressure and expansion rate under the target GBD (figure 5), and carrying out one-dimensional Bezier interpolation according to the target expansion rate, thus obtaining the aging pressure of the target GBD and the target expansion rate.
The foregoing examples have shown only the preferred embodiments of the application, which are described in more detail and are not to be construed as limiting the scope of the application. It should be noted that modifications, improvements and substitutions can be made by those skilled in the art without departing from the spirit of the application, which are all within the scope of the application.
Claims (10)
1. A method for computational analysis of a catalytic converter package design, comprising the steps of:
step 1, carrying out batch measurement on a shell, a carrier and a gasket before and after packaging to obtain statistical data of the inner diameter of the shell, the diameter of the carrier and the weight of the gasket;
step 2, calculating the shell diameter and the carrier diameter respectively by using statistical data through a normal distribution analysis method, and the average value and the standard deviation of the gasket weight;
step 3, performing rough calculation by using a least square method to obtain a rough average value and a rough standard deviation of the density GBD of the compressed gasket;
step 4, calculating the peak pressure of the gasket and GBD test data by adopting a Bessel one-dimensional interpolation method, and obtaining the peak pressure under the corresponding gap;
step 5, calculating the aging pressure of the liner and the test data of GBD and expansion rate by adopting a Bessel interpolation two-dimensional value method to obtain the lowest aging pressure under the corresponding gap;
step 6, checking and adjusting the width and density of the packaging gap and the gasket until the maximum pressure and the minimum aging pressure are in a rough range;
step 7, generating a plurality of groups of characteristic data conforming to normal distribution according to the rough value calculated in the step 3;
step 8, carrying out normal statistics on the generated multiple groups of characteristic data, and calculating an accurate average value and an accurate standard deviation of the GBD;
and 9, repeating the steps 4, 5 and 6 according to the accurate value calculated in the step 8 to obtain the packaging gap, the width and the density of the gasket until the maximum pressure and the minimum aging pressure are within the accurate range.
2. The computational analysis method of a catalytic converter package design according to claim 1, wherein: the standard deviation in the step 2 has a calculation formula as follows:
wherein T is a tolerance, and sigma is a standard deviation;
the calculation formula of the gap is:
f(d)＝D1-D2
wherein D1 is the inner diameter of the shell, and D2 is the diameter of the carrier.
3. The computational analysis method of a catalytic converter package design according to claim 2, wherein: standard deviation sigma of fit of the gap d The calculation formula is as follows:
wherein sigma D1 Standard deviation of D1, sigma D2 Standard deviation of D2
Wherein the method comprises the steps of
4. The computational analysis method of a catalytic converter package design according to claim 1, wherein: the GBD tolerance rough calculation formula in the step 3 is as follows:
where ρ is the nominal areal density and d is the nominal gap.
5. The computational analysis method of a catalytic converter package design according to claim 4, wherein: the density and the gap are in fractional relation and are formed by +sigma d And-sigma d Sigma of the cause GBD Inconsistencies, in order to manifest differences, require the respective pairs +σ d And-sigma d Both cases are corrected.
6. The computational analysis method of a catalytic converter package design according to claim 5, wherein: the clearance goes to tolerance:
the gap goes through a negative tolerance:
7. the computational analysis method of a catalytic converter package design according to claim 1, wherein: the accurate standard value and the accurate calculation formula of the standard deviation and the tolerance range in the step 8 are as follows:
8. the computational analysis method of a catalytic converter package design according to claim 7, wherein: the GBD and the tolerance thereof need to be accurately calculated, the production capacity is met, a plurality of groups of rho, D1 and D2 data meeting the actual production capacity level are randomly generated according to the Monte Carlo principle, therefore, N groups of GBD values are generated, the statistics and calculation are carried out on the N groups of GBD values, and the calculation formula is as follows:
9. the computational analysis method of a catalytic converter package design according to claim 1, wherein: before the Bessel one-dimensional interpolation method is calculated, a one-dimensional database of the maximum pressures of various gaskets under the typical GBD is established through experiments, and the limit pressure under any GBD value is calculated by writing a Bessel one-dimensional interpolation function.
10. The computational analysis method of a catalytic converter package design according to claim 1, wherein: before the Bessel two-dimensional interpolation method is calculated, an aging pressure two-dimensional database of various gaskets under the typical GBD and gap expansion rate needs to be established through experiments.
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