CN109099877A - Space Cylindricity error evaluation based on longicorn palpus searching algorithm - Google Patents
Space Cylindricity error evaluation based on longicorn palpus searching algorithm Download PDFInfo
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- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
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Abstract
The invention discloses the space Cylindricity error evaluations based on longicorn palpus searching algorithm, it is characterised in that it is the following steps are included: step 1: determining tested part, passes through the space line measurement data that three coordinate measuring machine obtains part；Step 2: establishing the error evaluation mathematical model of space linearity；Step 3: reading measuring point data, be brought into the error evaluation mathematical model of space linearity, longicorn palpus searching algorithm is initialized；Step 4: longicorn must searching algorithm iterative solution；Step 5: judge termination condition, judge whether the number of iterations meets maximum number of iterations, is terminated if it is satisfied, then calculating, if do not met, return step 4；Step 6: the fitness function value after iteration ends is the Spatial Straightness Error of measuring point.Simplify and solve process, improves the evaluating precision of Spatial Straightness Error.
Description
Technical field
The present invention relates to the space Cylindricity error evaluations based on longicorn palpus searching algorithm, belong to component of machine essence
Spend assessment method field.
Background technique
Due to the continuous development of Precision Manufacturing Technology, the digitized measurement of part has become the pass in product lifecycle
Key step.In the rated element of part, space cylindricity is as tubing, a crucial morpheme of axial workpiece equal error evaluation
Element, the accuracy of evaluation result can largely influence the evaluation result of part entirety.In relevant international mark
In quasi- and national standard, the main algorithm of Cylindricity Error Evaluation is minimum area method, least square method and intelligent optimization algorithm
Deng.Intelligent optimization algorithm such as ant group algorithm, particle swarm algorithm have been applied in the Cylindricity Error Evaluation problem of space more
Extensively.But these algorithm effects and algorithm parameter choice relation are larger, and calculating speed is slower, and precision is not high enough, algorithm robust
Property need further strengthen.Therefore the measuring point data that can be obtained by measuring tools such as three coordinates, acquires higher space cylinder
The evaluating precision of degree is an important research direction of mechanical field of precision measurement.
Longicorn must searching algorithm be that principle of being looked for food according to longicorn designs.Longicorn has two long hairs, if left side food gas
Taste is greater than the right, then longicorn is just turned left winged in next step, and vice versa.Food odors are set as function, two palpuses of longicorn by us
Two o'clock odour value nearby can be acquired, the purpose of longicorn is to find the maximum point of global odour value, we copy longicorn behavior to set
It counts intelligent optimization algorithm and carries out efficient function optimizing.
The defect and deficiency of the prior art:
(1) existing intelligent algorithm process is complicated, and late convergence is slower, is easily trapped into local optimum；
(2) algorithm solution room cylindricity trueness error is general；
(3) algorithm robustness is general.
Summary of the invention
It is the problems such as the complexity of process existing for existing space cylindricity assessment technology and excessively slow convergence rate, of the invention
It is designed to provide a kind of space cylindricity assessment method based on longicorn palpus searching algorithm, process is solved to simplify, improves
The evaluating precision of space cylindricity error.
In order to realize above-mentioned technical characteristic, the object of the present invention is achieved like this: based on longicorn palpus searching algorithm
Space Cylindricity error evaluation, it the following steps are included:
Step 1: determining tested part, the space cylinder measurement data of part is obtained by three coordinate measuring machine；
Step 2: establishing the error evaluation mathematical model of space cylindricity；
Step 3: reading measuring point data, be brought into the error evaluation mathematical model of space cylindricity, calculation must be searched for longicorn
Method is initialized；
Step 4: longicorn must searching algorithm iterative solution；
Step 5: judging termination condition, judge whether the number of iterations meets maximum number of iterations, if it is satisfied, then calculating eventually
Only, if do not met, return step 4；
Step 6: the fitness function value after iteration ends is the space cylindricity error of measuring point.
The space cylindricity is departure of the cylinder relative to ideal cylinder, that is, contains the smallest cylinder of all measuring points,
The error evaluation mathematical model establishment process of space cylindricity in the step 2 are as follows:
Establish space cylindricity ideal axis expression formula to be evaluated:
In formula: (l, m, n) is cylinder axis direction to be evaluated；
(x0,y0,z0) for normal, to be crossed with (l, m, n), coordinate origin makees plane and cylinder axis to be measured is formed by friendship
Point；
(x, y, z) is actual point；
Random measuring point Pi(xi,yi,zi), (wherein i=1,2...k0,k0For measuring point number) arrive cylindricity to be measured desired axis
Linear distance formula:
In formula: Pi(xi,yi,zi) it is random measuring point；
riFor PiTo the ideal axis distance of cylindricity to be measured；
A=(yi-y0)×n-(zi-z0)×m；
B=(zi-z0)×l-(xi-x0)×n；
C=(xi-x0)×m-(yi-y0)×l；
Measuring point is the semidiameter of two coaxial circles cylinders, i.e. target to the minimum range of ideal axis and the difference of maximum distance
Function are as follows:
F=min (max (ri)-min(ri)) (3)
In formula: f is objective function.
The searching algorithm initialization of longicorn palpus specifically includes following parameter setting: variable step parameter Eta, day in the step 3
Distance d0 between two palpus of ox, longicorn step-length step, the number of iterations n, constant c, problem dimension D, random initial solution x=rands (D,
1), in formula: x is the random starting values in D-1；Rands is random function.
Longicorn palpus searching algorithm iterative process in the step 4 are as follows:
Calculate the left palpus coordinate of longicorn are as follows:
XL=x+d0*dir/2 (4)
Calculate the right palpus coordinate of longicorn are as follows:
XR=x-d0*dir/2 (5)
In formula: dir=rands (D, 1)；Dir is the random value in D-1；d0The distance between two palpus of longicorn；X is random first
Begin solution；
Calculate the odour intensity of the left palpus of longicorn, i.e. function fitness value:
Fleft=f (XL) (6)
Calculate the odour intensity of the right palpus of longicorn, i.e. function fitness value:
Fright=f (XR) (7)
The longicorn position to be walked in next step is calculated using step length changing method:
Compared with assessment technology before, the present invention has the advantages that
1, the space circle column parameter equation of design ideal, intuitively reflects the solution mathematical model of space cylindricity, does not have
There are the cumbersome modeling process such as coordinate transformation process and the measuring point preprocessing process in minimum area method or least square method, it can be with
Surveyed data adequately are applied to, and can be applied among a large amount of measuring point data.
2, in algorithm design aspect, longicorn palpus searching algorithm is designed, algorithm flow is simple, and operand is small, and convergence rate is more
Fastly, there is stronger global optimizing ability, it is easy to accomplish.Solution procedure complies fully with the Minimum Area principle in international standard,
Computational solution precision is higher.
Detailed description of the invention
Present invention will be further explained below with reference to the attached drawings and examples.
Fig. 1 is measurement model schematic diagram of the invention.
Fig. 2 is algorithm iteration curve graph of the invention.
Fig. 3 is flow chart of the invention.
Specific embodiment
Embodiments of the present invention are described further with reference to the accompanying drawing.
Embodiment 1:
As shown in Figure 1-3, the space Cylindricity error evaluation based on longicorn palpus searching algorithm, it includes following step
It is rapid:
Step 1: determining tested part, the space cylinder measurement data of part is obtained by three coordinate measuring machine；
Step 2: establishing the error evaluation mathematical model of space cylindricity；
Step 3: reading measuring point data, be brought into the error evaluation mathematical model of space cylindricity, calculation must be searched for longicorn
Method is initialized；
Step 4: longicorn must searching algorithm iterative solution；
Step 5: judging termination condition, judge whether the number of iterations meets maximum number of iterations, if it is satisfied, then calculating eventually
Only, if do not met, return step 4；
Step 6: the fitness function value after iteration ends is the space cylindricity error of measuring point.
The space cylindricity is departure of the cylinder relative to ideal cylinder, that is, contains the smallest cylinder of all measuring points,
The error evaluation mathematical model establishment process of space cylindricity in the step 2 are as follows:
Establish space cylindricity ideal axis expression formula to be evaluated:
In formula: (l, m, n) is cylinder axis direction to be evaluated；
(x0,y0,z0) for normal, to be crossed with (l, m, n), coordinate origin makees plane and cylinder axis to be measured is formed by friendship
Point；
(x, y, z) is actual point；
Random measuring point Pi(xi,yi,zi), (wherein i=1,2...k0,k0For measuring point number) arrive cylindricity to be measured desired axis
Linear distance formula:
In formula: Pi(xi,yi,zi) it is random measuring point；
riFor PiTo the ideal axis distance of cylindricity to be measured；
A=(yi-y0)×n-(zi-z0)×m；
B=(zi-z0)×l-(xi-x0)×n；
C=(xi-x0)×m-(yi-y0)×l；
Measuring point is the semidiameter of two coaxial circles cylinders, i.e. target to the minimum range of ideal axis and the difference of maximum distance
Function are as follows:
F=min (max (ri)-min(ri)) (3)
In formula: f is objective function.
The searching algorithm initialization of longicorn palpus specifically includes following parameter setting: variable step parameter Eta, day in the step 3
Distance d0 between two palpus of ox, longicorn step-length step, the number of iterations n, problem dimension D, random initial solution x=rands (D, 1), in formula:
X is the random starting values in D-1；Rands is random function.
Longicorn palpus searching algorithm iterative process in the step 4 are as follows:
Calculate the left palpus coordinate of longicorn are as follows:
XL=x+d0*dir/2 (4)
Calculate the right palpus coordinate of longicorn are as follows:
XR=x-d0*dir/2 (5)
In formula: dir=rands (D, 1)；Dir is the random value in D-1；d0The distance between two palpus of longicorn；X is random first
Begin solution；
Calculate the odour intensity of the left palpus of longicorn, i.e. function fitness value:
Fleft=f (XL) (6)
Calculate the odour intensity of the right palpus of longicorn, i.e. function fitness value:
Fright=f (XR) (7)
The longicorn position to be walked in next step is calculated using step length changing method:
Embodiment 2:
Based on longicorn must searching algorithm space Cylindricity error evaluation, it is characterised in that it the following steps are included:
Step 1: determining tested part, the space cylinder measurement data of part is obtained by three coordinate measuring machine；Space circle
Column degree is actually departure of the cylinder relative to ideal cylinder, that is, contains the smallest cylinder of all measuring points.As shown in Figure 1
Step 2: establishing the error evaluation mathematical model of space cylindricity, detailed process are as follows:
Establish space cylindricity ideal axis expression formula to be evaluated:
In formula: (l, m, n) is cylinder axis direction to be evaluated；
(x0,y0,z0) for normal, to be crossed with (l, m, n), coordinate origin makees plane and cylinder axis to be measured is formed by friendship
Point；
(x, y, z) is actual point；
Random measuring point Pi(xi,yi,zi), (wherein i=1,2...k0,k0For measuring point number) arrive cylindricity to be measured desired axis
Linear distance formula:
In formula: Pi(xi,yi,zi) it is random measuring point；
riFor PiTo the ideal axis distance of cylindricity to be measured；
A=(yi-y0)×n-(zi-z0)×m；
B=(zi-z0)×l-(xi-x0)×n；
C=(xi-x0)×m-(yi-y0)×l；
Measuring point is the semidiameter of two coaxial circles cylinders, i.e. target to the minimum range of ideal axis and the difference of maximum distance
Function are as follows:
F=min (max (ri)-min(ri)) (3)
In formula: f is objective function.
Step 3: reading measuring point data and the error evaluation mathematical model of space cylindricity is brought into, to day as shown in table 1
Ox palpus searching algorithm is initialized；Specifically include following parameter setting: variable step parameter Eta, distance d0 between two palpus of longicorn, day
Ox step-length step, constant c, the number of iterations n, problem dimension D, random initial solution x=rands (D, 1), in formula: x is in D-1
Random starting values；Rands is random function, enters step 4；
1 cylindricity measurement point coordinate of table
Initiation parameter in the present embodiment:
Wherein: Eta=0.95, c=5, n=20, D=20, step=1；
Step1=Eta*step, d0=step1/c,
Step 4: longicorn palpus searching algorithm iterative solution, specific iterative process are as follows:
Calculate the left palpus coordinate of longicorn are as follows:
XL=x+d0*dir/2 (4)
Calculate the right palpus coordinate of longicorn are as follows:
XR=x-d0*dir/2 (5)
In formula: dir=rands (D, 1)；Dir is the random value in D-1；d0The distance between two palpus of longicorn；X is random first
Begin solution；
Calculate the odour intensity of the left palpus of longicorn, i.e. function fitness value:
Fleft=f (XL) (6)
Calculate the odour intensity of the right palpus of longicorn, i.e. function fitness value:
Fright=f (XR) (7)
The longicorn position to be walked in next step is calculated using step length changing method:
Step 5: judging termination condition, judge whether the number of iterations meets maximum number of iterations, if it is satisfied, then calculating eventually
Only, if do not met, return step 4；
Step 6: the fitness function value after iteration ends is the space cylindricity error of measuring point.Position coordinates are to meet
The solution of objective function (3), the i.e. equation parameter of space cylinder.Iterativecurve is as shown in Figure 2.
The analysis of arithmetic result:
According to the measuring point data of reading, in algorithm iteration calculating process, when iterating to 80 times, just reach convergence,
Convergence rate is improved；Calculated space cylindricity error amount is 0.00192mm.Space cylindricity error precision is mentioned
It is high.
Above-described embodiment is used to illustrate the present invention, rather than limits the invention, in spirit of the invention and
In scope of protection of the claims, to any modifications and changes that the present invention makes, protection scope of the present invention is both fallen within.
Claims (4)
1. based on longicorn must searching algorithm space Cylindricity error evaluation, it is characterised in that it the following steps are included:
Step 1: determining tested part, the space cylinder measurement data of part is obtained by three coordinate measuring machine；
Step 2: establishing the error evaluation mathematical model of space cylindricity；
Step 3: read measuring point data, be brought into the error evaluation mathematical model of space cylindricity, to longicorn must searching algorithm into
Row initialization；
Step 4: longicorn must searching algorithm iterative solution；
Step 5: judge termination condition, judge whether the number of iterations meets maximum number of iterations, is terminated if it is satisfied, then calculating,
If do not met, return step 4；
Step 6: the fitness function value after iteration ends is the space cylindricity error of measuring point.
2. the space Cylindricity error evaluation according to claim 1 based on longicorn palpus searching algorithm, feature exist
In: space cylindricity is departure of the cylinder relative to ideal cylinder, that is, contains the smallest cylinder of all measuring points, the step 2
The error evaluation mathematical model establishment process of middle space cylindricity are as follows:
Establish space cylindricity ideal axis expression formula to be evaluated:
In formula: (l, m, n) is cylinder axis direction to be evaluated；
(x0,y0,z0) for normal, to be crossed with (l, m, n), coordinate origin makees plane and cylinder axis to be measured is formed by intersection point；
(x, y, z) is actual point；
Random measuring point Pi(xi,yi,zi), (wherein i=1,2...k0,k0For measuring point number) to cylindricity to be measured ideal axis away from
From formula:
In formula: Pi(xi,yi,zi) it is random measuring point；
riFor PiTo the ideal axis distance of cylindricity to be measured；
A=(yi-y0)×n-(zi-z0)×m；
B=(zi-z0)×l-(xi-x0)×n；
C=(xi-x0)×m-(yi-y0)×l；
Measuring point is the semidiameter of two coaxial circles cylinders, i.e. objective function to the minimum range of ideal axis and the difference of maximum distance
Are as follows:
F=min (max (ri)-min(ri)) (3)
In formula: f is objective function.
3. the space Cylindricity error evaluation according to claim 1 based on longicorn palpus searching algorithm, feature exist
In: the searching algorithm initialization of longicorn palpus specifically includes following parameter setting: variable step parameter Eta, two palpus of longicorn in the step 3
Between distance d0, longicorn step-length step, constant c, the number of iterations n, problem dimension D, random initial solution x=rands (D, 1), in formula:
X is the random starting values in D-1；Rands is random function.
4. the space Cylindricity error evaluation according to claim 1 based on longicorn palpus searching algorithm, feature exist
In: longicorn palpus searching algorithm iterative process in the step 4 are as follows:
Calculate the left palpus coordinate of longicorn are as follows:
XL=x+d0*dir/2 (4)
Calculate the right palpus coordinate of longicorn are as follows:
XR=x-d0*dir/2 (5)
In formula: dir=rands (D, 1)；Dir is the random value in D-1；d0The distance between two palpus of longicorn；X is random initial solution；
Calculate the odour intensity of the left palpus of longicorn, i.e. function fitness value:
Fleft=f (XL) (6)
Calculate the odour intensity of the right palpus of longicorn, i.e. function fitness value:
Fright=f (XR) (7)
The longicorn position to be walked in next step is calculated using step length changing method:
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| CN109756910A (en) * | 2019-01-02 | 2019-05-14 | 河海大学 | Based on the unmanned plane network resource allocation method for improving longicorn palpus searching algorithm |
| CN115096243A (en) * | 2022-06-14 | 2022-09-23 | 哈尔滨工业大学 | Standard device coaxiality measuring method for searching optimal rotating shaft through cloud adaptive genetic algorithm |
| CN115371623A (en) * | 2022-08-25 | 2022-11-22 | 重庆大学 | Improved sparrow optimization algorithm-based axis straightness error evaluation method and system |
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