CN110657773A - Method for determining complex curved surface profile error - Google Patents
Method for determining complex curved surface profile error Download PDFInfo
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Abstract
The invention is suitable for the technical field of surface error calculation, and provides a method for determining a complex surface profile error, which comprises the following steps: acquiring the main curvature (K1, K2) of the original curved surface S1; acquiring the curvature (M1, M2) of the target curved surface S2; calculating the difference T1-M1-K1, T2-M2-K2 of the main curvature; when T1 is not less than 0 and T2 is not less than 0, the combination is regarded as a curvature increasing surface; when T1 is less than or equal to 0 and T2 is less than or equal to 0, the combination is taken as a curvature reduction face; when T1 × T2<0, the combination is recorded as a curved differentiated surface; configuring different display elements for the curvature increasing surface, the curvature decreasing surface and the curvature dividing surface; and acquiring the complex curved surface profile error according to the display elements. The invention also correspondingly provides a system. Therefore, the method can efficiently determine the complex curved surface profile error.
Description
Technical Field
The invention relates to the technical field of surface error calculation, in particular to a method for determining a complex surface profile error.
Background
In the fields of aerospace, shipbuilding, automobile industry and the like, many important parts are often formed by high-precision free-form surfaces, the parts play an important role in the service life and safety of the whole equipment, so that a free-form surface plays an increasingly important role in engineering practice, and because the machining process of the free-form surface is complex and the machining cost is too high, the method has higher requirements on the error evaluation process, and the error of the free-form surface is required to be evaluated as accurately as possible to be close to a real error, so that the production cost is reduced by avoiding mistaken waste.
In the numerical control machining process, a conventional method of measuring a workpiece uses various conventional measuring tools (a dial gauge, a caliper, etc.) or equipment (a three-coordinate measuring machine, etc.). For simple geometric measurement, an operator can directly measure the geometric quantity by using a measuring tool on a numerical control machine tool; for the relatively complicated measurement problems such as the geometric characteristics or the spatial position of the workpiece, an operator must transfer the workpiece to a three-coordinate measuring machine for measurement because the conventional measuring tool cannot solve the problem. However, when the measuring method is used, a series of operations such as conveying, re-clamping, positioning and the like are performed on the workpiece, and errors are generated in the process, which affects the real errors and reduces the evaluation efficiency.
In view of the above, the prior art is obviously inconvenient and disadvantageous in practical use, and needs to be improved.
Disclosure of Invention
In view of the above-mentioned drawbacks, an object of the present invention is to provide a method for determining a complex curved surface profile error, which can determine the complex curved surface profile error more efficiently.
In order to achieve the above object, the present invention provides a method for determining a complex surface profile error, comprising the steps of:
acquiring the main curvature (K1, K2) of the original curved surface S1;
acquiring the curvature (M1, M2) of the target curved surface S2;
calculating the difference T1-M1-K1, T2-M2-K2 of the main curvature; when T1 is not less than 0 and T2 is not less than 0, the combination is regarded as a curvature increasing surface; when T1 is less than or equal to 0 and T2 is less than or equal to 0, the combination is taken as a curvature reduction face; when T1 × T2<0, the combination is recorded as a curved differentiated surface;
configuring different display elements for the curvature increasing surface, the curvature decreasing surface and the curvature dividing surface;
and acquiring the complex curved surface profile error according to the display elements.
The invention provides a method for determining a complex curved surface profile error, which comprises the following steps:
dividing the original curved surface S1 into no more than 8 curved surface subunits, and acquiring the main curvature (k1, k2) of each original curved surface subunit;
dividing the target curved surface S2 into curved surface subunits which have the same number and corresponding spatial positions as the original curved surface, and simultaneously acquiring the main curvature (m1, m2) of each target curved surface subunit;
calculating the difference t 1-m 1-k1 and t 2-m 2-k2 of the main curvatures of each pair of the corresponding S1 curved surface subunit and S2 curved surface subunit; when t1 is not less than 0 and t2 is not less than 0, the combination is regarded as a curvature increasing surface; when t1 is less than or equal to 0 and t2 is less than or equal to 0, the combination is regarded as a curvature reduction face; when t1 × t2<0, the combination is recorded as a curved differentiated surface;
configuring different display elements for the curvature increasing surface, the curvature decreasing surface and the curvature dividing surface;
and (4) overlapping and comparing each pair of curved surface subunits to obtain errors.
According to the method for determining the complex surface profile error, the method further comprises the following steps:
and quantifying the errors of each pair of curved surface subunits, and fitting to calculate the comprehensive error of the target curved surface.
The method for determining the complex surface profile error comprises the following steps:
and configuring different error calculation weights according to the number of the set curved surface subunits.
According to the method for determining the complex surface profile error of the present invention, the original surface S1 and the target surface S2 are each divided into 6 surface sub-units.
The invention correspondingly provides a system for determining the error of the complex curved surface profile degree, which comprises the following steps:
a first dividing processing module, configured to divide the original curved surface S1 into no more than 8 curved surface sub-units, and obtain a main curvature (k1, k2) of each original curved surface sub-unit;
the second dividing processing module is used for dividing the target curved surface S2 into curved surface subunits which have the same number and correspond to the original curved surface in space positions, and simultaneously acquiring the main curvature (m1, m2) of each target curved surface subunit;
the calculation processing module is used for calculating the difference t 1-m 1-k1 and t 2-m 2-k2 between the main curvatures of each pair of the corresponding S1 curved surface subunit and S2 curved surface subunit; when t1 is not less than 0 and t2 is not less than 0, the combination is regarded as a curvature increasing surface; when t1 is less than or equal to 0 and t2 is less than or equal to 0, the combination is regarded as a curvature reduction face; when t1 × t2<0, the combination is recorded as a curved differentiated surface;
the display processing module is used for configuring different display elements for the curvature increasing surface, the curvature reducing surface and the curvature differentiating surface;
and the fitting calculation module is used for comparing the coincidence of each pair of curved surface subunits to obtain errors.
According to the system for determining the complex surface profile error of the invention, the fitting calculation module comprises:
and the quantization processing unit quantizes the errors of each pair of curved surface subunits and calculates the comprehensive error of the target curved surface in a fitting manner.
The system for determining the complex surface profile error further comprises the following steps: and the weight configuration module is used for configuring different error calculation weights according to the number of the set curved surface subunits.
According to the system for determining the complex surface profile error of the present invention, the original surface S1 and the target surface S2 are each divided into 6 surface sub-units.
The method comprises the steps of obtaining the main curvature (K1, K2) of an original curved surface S1; acquiring the curvature (M1, M2) of the target curved surface S2; calculating the difference T1-M1-K1, T2-M2-K2 of the main curvature; when T1 is not less than 0 and T2 is not less than 0, the combination is regarded as a curvature increasing surface; when T1 is less than or equal to 0 and T2 is less than or equal to 0, the combination is taken as a curvature reduction face; when T1 × T2<0, the combination is recorded as a curved differentiated surface; configuring different display elements for the curvature increasing surface, the curvature decreasing surface and the curvature dividing surface; and acquiring the complex curved surface profile error according to the display elements. Therefore, the method can intuitively and efficiently determine the complex curved surface profile error.
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FIG. 1 is a flow chart of a method of the present invention;
FIG. 2 is a flow diagram of a method of an embodiment of the present invention;
fig. 3 is a schematic diagram of the system architecture of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Referring to fig. 1, the present invention provides a method for determining a complex surface profile error, the method comprising the steps of:
in step S101, the principal curvatures (K1, K2) of the original curved surface S1 are acquired.
In step S102, the curvature (M1, M2) of the target curved surface S2 is acquired.
Step S103, calculating the difference T1-M1-K1, T2-M2-K2 of the main curvature; when T1 is not less than 0 and T2 is not less than 0, the combination is regarded as a curvature increasing surface; when T1 is less than or equal to 0 and T2 is less than or equal to 0, the combination is taken as a curvature reduction face; when T1 × T2<0, the combination was recorded as a curved differentiated surface.
In step S104, different display elements are arranged on the curvature increasing surface, the curvature decreasing surface, and the curvature differentiating surface. The display elements are image displays corresponding to the increase, decrease and differentiation of the curvature, for example, the increase surface, the decrease surface and the differentiation surface corresponding to the curvature are marked as "mountain", "valley" and "twist" by using image elements, and these image elements can be quantized into data information by a computer.
And step S105, acquiring the complex curved surface profile error according to the display element. In this step, the corresponding original curved surface S1 and the target curved surface S2 are compared in an overlapping manner, and the error between the two can be visually found through the image elements, and the error of the curved surface can be expressed through the quantized data information.
Referring to fig. 2, the present invention provides another method for determining a complex surface profile error, the method comprising the steps of:
in step S201, the original curved surface S1 is divided into no more than 8 curved surface sub-units, and the main curvature (k1, k2) of each original curved surface sub-unit is obtained.
In step S202, the target curved surface S2 is divided into the same number of surface sub-units corresponding to the original curved surface and the spatial positions, and the main curvature (m1, m2) of each target surface sub-unit is also obtained.
Because the curved surfaces of a plurality of parts are relatively complex, the curved surfaces are segmented, and in the subsequent steps, the segmented curved surface units are compared and analyzed one by one to obtain errors.
Step S203, calculating the difference t 1-m 1-k1 and t 2-m 2-k2 of the main curvatures of each pair of the corresponding S1 curved surface subunit and S2 curved surface subunit; when t1 is not less than 0 and t2 is not less than 0, the combination is regarded as a curvature increasing surface; when t1 is less than or equal to 0 and t2 is less than or equal to 0, the combination is regarded as a curvature reduction face; when t1 × t2<0, the combination is recorded as a curved differentiated surface;
in step S204, different display elements are arranged on the curvature increasing surface, the curvature decreasing surface, and the curvature differentiating surface. The display elements are image displays corresponding to the increase, decrease and differentiation of curvature, for example, the increase, decrease and differentiation surfaces corresponding to curvature are marked as "mountain", "valley" and "twist" by using image elements, and these image elements can be quantized into data information by computer
And step S205, carrying out coincidence comparison on each pair of curved surface subunits to obtain errors.
In one embodiment, the method can quantize the errors of each pair of curved surface subunits according to different curved surfaces, and fit and calculate the comprehensive error of the target curved surface. Specifically, different error calculation weights are configured according to the number of the set curved surface subunits. For example, the original surface S1 and the target surface S2 are each divided into 6 surface sub-units. For the error of each pair of corresponding curved surface subunits, in addition to the visual display through the display elements, the invention can also carry out superposition computers in a certain calculation mode, specifically, different weights are configured for each group of curved surfaces, and then the calculation is carried out by the weight proportion and the error accumulation.
Referring to fig. 3, the present invention provides a system for determining a complex surface profile error, which can implement the method shown in fig. 2, the system comprising:
a first dividing processing module 10, configured to divide the original curved surface S1 into no more than 8 curved surface sub-units, and obtain a main curvature (k1, k2) of each original curved surface sub-unit;
the second dividing processing module 20 is configured to divide the target curved surface S2 into the same number of curved surface sub-units as the original curved surface and corresponding to spatial positions, and obtain the principal curvature (m1, m2) of each target curved surface sub-unit;
the calculation processing module 30 calculates the difference t 1-m 1-k1, t 2-m 2-k2 between the main curvatures of each pair of the corresponding curved surface sub-unit of S1 and the corresponding curved surface sub-unit of S2; when t1 is not less than 0 and t2 is not less than 0, the combination is regarded as a curvature increasing surface; when t1 is less than or equal to 0 and t2 is less than or equal to 0, the combination is regarded as a curvature reduction face; when t1 × t2<0, the combination is recorded as a curved differentiated surface;
a display processing module 40, configured to configure different display elements for the curvature increasing surface, the curvature decreasing surface, and the curvature differentiating surface;
and the fitting calculation module 50 is used for comparing the coincidence of each pair of curved surface subunits to obtain errors.
In one embodiment, the fitting calculation module comprises: and the quantization processing unit quantizes the errors of each pair of curved surface subunits and calculates the comprehensive error of the target curved surface in a fitting manner.
Preferably, the system of the present invention further comprises a weight configuring module 60 for configuring different error calculation weights according to the number of the set surface subunits. For example, the original curved surface S1 and the target curved surface S2 can be divided into 6 curved surface sub-units by the first dividing processing module 10 and the second dividing processing module 20, so that 6 sub-curved surfaces are formed. And finally determining the error of the complex curved surface according to the error and the weight of each sub-curved surface
In summary, the present invention obtains the main curvature (K1, K2) of the original curved surface S1; acquiring the curvature (M1, M2) of the target curved surface S2; calculating the difference T1-M1-K1, T2-M2-K2 of the main curvature; when T1 is not less than 0 and T2 is not less than 0, the combination is regarded as a curvature increasing surface; when T1 is less than or equal to 0 and T2 is less than or equal to 0, the combination is taken as a curvature reduction face; when T1 × T2<0, the combination is recorded as a curved differentiated surface; configuring different display elements for the curvature increasing surface, the curvature decreasing surface and the curvature dividing surface; and acquiring the complex curved surface profile error according to the display elements. Therefore, the method can intuitively and efficiently determine the complex curved surface profile error.
The present invention may be embodied in other specific forms without departing from the spirit or essential attributes thereof, and it should be understood that various changes and modifications can be effected therein by one skilled in the art without departing from the spirit and scope of the invention as defined in the appended claims.
Claims (9)
1. A method for determining a complex surface profile error, comprising the steps of:
acquiring the main curvature (K1, K2) of the original curved surface S1;
acquiring the curvature (M1, M2) of the target curved surface S2;
calculating the difference T1-M1-K1, T2-M2-K2 of the main curvature; when T1 is not less than 0 and T2 is not less than 0, the combination is regarded as a curvature increasing surface; when T1 is less than or equal to 0 and T2 is less than or equal to 0, the combination is taken as a curvature reduction face; when T1 × T2<0, the combination is recorded as a curved differentiated surface;
configuring different display elements for the curvature increasing surface, the curvature decreasing surface and the curvature dividing surface;
and acquiring the complex curved surface profile error according to the display elements.
2. A method for determining a complex surface profile error, comprising the steps of:
dividing the original curved surface S1 into no more than 8 curved surface subunits, and acquiring the main curvature (k1, k2) of each original curved surface subunit;
dividing the target curved surface S2 into curved surface subunits which have the same number and corresponding spatial positions as the original curved surface, and simultaneously acquiring the main curvature (m1, m2) of each target curved surface subunit;
calculating the difference t 1-m 1-k1 and t 2-m 2-k2 of the main curvatures of each pair of the corresponding S1 curved surface subunit and S2 curved surface subunit; when t1 is not less than 0 and t2 is not less than 0, the combination is regarded as a curvature increasing surface; when t1 is less than or equal to 0 and t2 is less than or equal to 0, the combination is regarded as a curvature reduction face; when t1 × t2<0, the combination is recorded as a curved differentiated surface;
configuring different display elements for the curvature increasing surface, the curvature decreasing surface and the curvature dividing surface;
and (4) overlapping and comparing each pair of curved surface subunits to obtain errors.
3. The method of determining complex surface profilometry error according to claim 2, further comprising:
and quantifying the errors of each pair of curved surface subunits, and fitting to calculate the comprehensive error of the target curved surface.
4. The method of determining complex surface profilometry error according to claim 2, wherein the method comprises:
and configuring different error calculation weights according to the number of the set curved surface subunits.
5. The method of claim 2, wherein the original surface S1 and the target surface S2 are each divided into 6 surface sub-units.
6. A system for determining a complex surface profilometry error comprising:
a first dividing processing module, configured to divide the original curved surface S1 into no more than 8 curved surface sub-units, and obtain a main curvature (k1, k2) of each original curved surface sub-unit;
the second dividing processing module is used for dividing the target curved surface S2 into curved surface subunits which have the same number and correspond to the original curved surface in space positions, and simultaneously acquiring the main curvature (m1, m2) of each target curved surface subunit;
the calculation processing module is used for calculating the difference t 1-m 1-k1 and t 2-m 2-k2 between the main curvatures of each pair of the corresponding S1 curved surface subunit and S2 curved surface subunit; when t1 is not less than 0 and t2 is not less than 0, the combination is regarded as a curvature increasing surface; when t1 is less than or equal to 0 and t2 is less than or equal to 0, the combination is regarded as a curvature reduction face; when t1 × t2<0, the combination is recorded as a curved differentiated surface;
the display processing module is used for configuring different display elements for the curvature increasing surface, the curvature reducing surface and the curvature differentiating surface;
and the fitting calculation module is used for comparing the coincidence of each pair of curved surface subunits to obtain errors.
7. The system for determining complex surface profilometry error according to claim 6 wherein the fitting calculation module comprises:
and the quantization processing unit quantizes the errors of each pair of curved surface subunits and calculates the comprehensive error of the target curved surface in a fitting manner.
8. The system for determining complex surface profilometry error according to claim 6 further comprising: and the weight configuration module is used for configuring different error calculation weights according to the number of the set curved surface subunits.
9. The system for determining complex surface contour error of claim 6, wherein the original surface S1 and the target surface S2 are each divided into 6 surface sub-units.
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Application publication date: 20200107 |