CN109885913B - Method, device, equipment and storage medium for fitting hob abrasion profile - Google Patents
Method, device, equipment and storage medium for fitting hob abrasion profile Download PDFInfo
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- CN109885913B CN109885913B CN201910103552.8A CN201910103552A CN109885913B CN 109885913 B CN109885913 B CN 109885913B CN 201910103552 A CN201910103552 A CN 201910103552A CN 109885913 B CN109885913 B CN 109885913B
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Abstract
The invention provides a method, a device, equipment and a storage medium for fitting a hob abrasion profile, and relates to the field of tunnel engineering. The method for fitting the hob abrasion profile comprises the following steps: dividing the outer contour of the hob into a plurality of contour sections by utilizing a plurality of measuring points on the outer contour of the hob, and calibrating one contour section for every two adjacent measuring points; for each contour segment, an interpolation method is adopted, the position data of the measuring points of the contour segment is utilized to obtain an interpolation polynomial of the contour segment, and the value of the position data corresponding to any one data point on the contour curve of the contour segment represented by the interpolation polynomial is positioned in a section calibrated by the maximum value and the minimum value in the position data values of the measuring points; fitting to obtain a contour curve of the contour segment by using an interpolation polynomial of the contour segment; and obtaining the outer contour curve of the hob based on the contour curves of all the contour sections. The technical scheme of the invention can realize the function of fitting to obtain the abrasion profile (namely the outer profile) of the hob.
Description
Technical Field
The present invention relates to the field of tunnel engineering, and in particular, to a method, apparatus, device, and storage medium for fitting a hob abrasion profile.
Background
The shield tunneling machine and the heading machine are two types of machines for full-section tunnel excavation. And hob cutters are arranged on cutterheads of the shield tunneling machine and the tunneling machine. The hob is a universal excavation tool, and can directly excavate rock mass and soil mass in front of tunnel face. Under the normal working state, the hob can rotate along with the rotation of the cutterhead, and rock mass and soil mass are cut in the rotation process, so that tunnel excavation is realized. The hob is in direct contact with the rock mass or the soil mass in the process of cutting the rock mass or the soil mass, so that the hob is worn. And the resulting wear may be uniform or non-uniform.
The working state of the hob can be judged according to the abrasion of the hob, so that the method is greatly helpful for the service life of the hob and the inference of the working efficiency. Thus, a method is needed to obtain the wear profile of a hob.
Disclosure of Invention
The embodiment of the invention provides a method, a device, equipment and a storage medium for fitting a hob abrasion profile, which can realize the function of fitting the abrasion profile (namely an outer profile) of a hob.
In a first aspect, an embodiment of the present invention provides a method of fitting a hob wear profile, comprising: dividing the outer contour of the hob into a plurality of contour sections by utilizing a plurality of measuring points on the outer contour of the hob, and calibrating one contour section by every two adjacent measuring points; for each contour segment, an interpolation method is adopted, the position data of the measuring points of the contour segment is utilized to obtain an interpolation polynomial of the contour segment, and the value of the position data corresponding to any one data point on the contour curve of the contour segment represented by the interpolation polynomial is positioned in a section calibrated by the maximum value and the minimum value in the position data values of the measuring points; fitting to obtain a contour curve of the contour segment by using an interpolation polynomial of the contour segment; and obtaining the outer contour curve of the hob based on the contour curves of all the contour sections.
In a second aspect, embodiments of the present invention provide an apparatus for fitting a hob wear profile, comprising: the dividing module is used for dividing the outer contour of the hob into a plurality of contour segments by utilizing a plurality of measuring points on the outer contour of the hob, and calibrating one contour segment for every two adjacent measuring points; the interpolation module is used for obtaining an interpolation polynomial of the contour segment by adopting an interpolation method according to the position data of the measuring points of the contour segment, wherein the value of the position data corresponding to any data point on the contour curve of the contour segment represented by the interpolation polynomial is positioned in a section calibrated by the maximum value and the minimum value in the position data values of the measuring points; the fitting module is used for fitting to obtain a contour curve of the contour segment by using an interpolation polynomial of the contour segment; the outer contour determining module is used for obtaining the outer contour curve of the hob based on the contour curves of all the contour sections.
In a third aspect, an embodiment of the present invention provides an apparatus for fitting a hob abrasion profile, including a memory, a processor, and a program stored in the memory and executable on the processor, where the processor implements the method for fitting the hob abrasion profile in the above technical scheme when executing the program.
In a fourth aspect, an embodiment of the present invention provides a storage medium, where a program is stored, and when the program is executed by a processor, the method for fitting a hob abrasion profile in the above technical solution is implemented.
The embodiment of the invention provides a method, a device, equipment and a storage medium for fitting a hob abrasion profile, wherein the hob outer profile is divided into a plurality of profile sections by position data of a plurality of measuring points on the hob outer profile. And obtaining an interpolation polynomial of each profile section by adopting an interpolation method so as to obtain a profile curve of each profile section. And obtaining the outer contour curve of the hob based on the contour curves of all the contour sections. The value of the position data corresponding to any data point on the contour curve of the contour segment ensured by the interpolation polynomial in the embodiment of the invention is in the interval marked by the maximum value and the minimum value in the values of the position data of the measuring points, so that the deformation of the outer contour curve of the hob, which is finally fitted, caused by an algorithm is avoided, and the larger deviation is realized between the outer contour curve and the actual outer contour of the hob on the whole, thereby realizing the function of obtaining the wear contour (namely the outer contour) of the hob by fitting.
Drawings
The invention will be better understood from the following description of specific embodiments thereof taken in conjunction with the accompanying drawings, in which like or similar reference characters designate like or similar features.
FIG. 1 is a flow chart of a method of fitting a hob wear profile in an embodiment of the present invention;
FIG. 2 is a schematic illustration of a rolled outer profile in an embodiment of the invention;
FIG. 3 is a flow chart of a method of fitting a hob wear profile in another embodiment of the present invention;
FIG. 4 is a schematic view of an apparatus for fitting the wear profile of a hob according to one embodiment of the present invention;
FIG. 5 is a schematic structural view of an apparatus for fitting the wear profile of a hob according to an embodiment of the present invention.
Detailed Description
Features and exemplary embodiments of various aspects of the invention are described in detail below. In the following detailed description, numerous specific details are set forth in order to provide a thorough understanding of the invention. It will be apparent, however, to one skilled in the art that the present invention may be practiced without some of these specific details. The following description of the embodiments is merely intended to provide a better understanding of the invention by showing examples of the invention. The present invention is in no way limited to any particular configuration and algorithm set forth below, but rather covers any modification, substitution, and improvement of elements, components, and algorithms without departing from the spirit of the invention. In the drawings and the following description, well-known structures and techniques have not been shown in order to avoid unnecessarily obscuring the present invention.
The embodiment of the invention provides a method, a device, equipment and a storage medium for fitting the abrasion profile of a hob, which can be used for fitting the profile of a hob installed on a shield machine or a heading machine to obtain a profile curve of the hob, so that the working state, the service life and the working efficiency of the hob of the shield machine or the heading machine can be conveniently monitored according to the profile curve.
FIG. 1 is a flow chart of a method of fitting a hob wear profile in an embodiment of the present invention. As shown in fig. 1, the method of fitting the hob wear profile may include steps S101 to S105.
In step S101, the outer contour of the hob is divided into a plurality of contour segments using a plurality of measurement points on the outer contour of the hob.
In some examples, measurement sensors may be provided on the hob to measure position data of a plurality of measurement points on the outer contour of the hob. Because the hob is worn in the working process, the outer contour of the hob is different from the original outer contour of the hob before the hob is put into use. The positions of a plurality of measuring points on the outer contour of the hob, which are acquired by the measuring sensor, are different. Each measurement point corresponds to a respective position data. The position data is used to indicate the position of the measurement point. The type of the position data can be selected according to the specific situation. For example, the position data may be data in a rectangular coordinate system or data in a polar coordinate system, which is not limited herein.
The number of measuring points on the outer contour is the same as the number of contour segments. For example, if there are six measurement points on the outer contour, the outer contour is divided into six contour segments by these eight measurement points. Wherein, every two adjacent measuring points demarcate a contour segment. For example, FIG. 2 is a schematic illustration of a rolled-on outer profile in an embodiment of the invention. As shown in fig. 2, measurement points A1, A2, A3, A4, A5, and A6 are sequentially provided along the outer contour of the hob. The profile segments include a profile segment with A1 as a starting point and A2 as an ending point, a profile segment with A2 as a starting point and A3 as an ending point, a profile segment with A3 as a starting point and A4 as an ending point, a profile segment with A4 as a starting point and A5 as an ending point, a profile segment with A5 as a starting point and A6 as an ending point, and a profile segment with A6 as a starting point and A1 as an ending point.
In step S102, for each contour segment, an interpolation method is used to obtain an interpolation polynomial of the contour segment by using position data of measurement points of the contour segment.
Interpolation is a data processing method that fits the contour of an entire object by measuring discrete data points of the object, and is not described in detail herein. And obtaining an interpolation polynomial of each contour segment according to the position data of each contour segment. Wherein the interpolation polynomial of the contour segment is capable of characterizing the contour curve of the contour segment. The value of the position data corresponding to any one data point on the contour curve of the contour segment represented by the interpolation polynomial is in a section calibrated by the maximum value and the minimum value in the values of the position data of the measuring points.
In some examples, the maxima and minima herein may refer to the maxima and minima, respectively, of the radius corresponding to the measurement points on the outer contour of the hob. The interval defined by the maximum value and the minimum value is a value range which is more than or equal to the minimum value and less than or equal to the maximum value. For example, the position data of the plurality of measurement points are (θ 1 ，r 1 )、(θ 2 ，r 2 )、…、(θ m ，r m ). Wherein θ i For measuring the angle of the point on the outer contour, 0 is less than or equal to theta i ≤2π。r i To measure the radius of the point on the outer contour. I is more than or equal to 1 and less than or equal to m, wherein m is a positive integer. The position data of any point on the contour curve represented by the interpolation polynomial of the contour segment is (θ j ，r j ) 0 is less than or equal to theta j Less than or equal to 2 pi, and min (r) 1 ，r 2 …，r m )≤r j ≤max(r 1 ，r 2 …，r m ). Wherein j is more than or equal to 1 and m is more than or equal to m. min (r) 1 ，r 2 …，r m ) R is 1 、r 2 …、r m Is the minimum value of (c), max (r 1 ，r 2 …，r m ) R is 1 、r 2 …、r m Is the maximum value of (a).
In other examples, the maxima and minima herein may refer to the maxima and minima, respectively, of the values of the ordinate data in a rectangular coordinate system corresponding to the measurement points on the outer contour of the hob. The definitions of the maximum value and the minimum value are similar to the previous example, and are not repeated here.
The value of the position data corresponding to any data point on the contour curve of the contour section represented by the interpolation polynomial is in the interval marked by the maximum value and the minimum value in the position data values of the measuring points, so that the deformation of the fitted outer contour curve of the hob caused by an algorithm can be avoided, and the fitted outer contour curve has larger deviation with the actual outer contour of the hob as a whole.
It should be noted that the data point interpolation polynomial represents any point on the contour curve of the contour segment. The measuring point is the actual point on the outer contour of the hob obtained by measuring and sampling.
In step S103, a contour curve of the contour segment is fitted by using an interpolation polynomial of the contour segment.
The curve displayed by the interpolation polynomial is the contour curve of the contour segment corresponding to the interpolation polynomial.
In step S104, the outer contour curve of the hob is obtained based on the contour curves of all the contour segments.
All the contour segment combinations are the outer contour of the hob. Specifically, the contour curves of the contour sections with the same end points can be connected, and the outer contour curve of the hob can be obtained. For example, the profile segments include a profile segment having A1 as a start point and A2 as an end point, a profile segment having A2 as a start point and A3 as an end point, a profile segment having A3 as a start point and A4 as an end point, a profile segment having A4 as a start point and A5 as an end point, a profile segment having A5 as a start point and A6 as an end point, and a profile segment having A6 as a start point and A1 as an end point. The contour segment with A1 as the starting point and A2 as the ending point is connected with the contour segment with A2 as the starting point and A3 as the ending point, the contour segment with A2 as the starting point and A3 as the ending point is connected with the contour segment with A3 as the starting point and A4 as the ending point, the contour segment with A3 as the starting point and A4 as the ending point is connected with the contour segment with A4 as the starting point and A5 as the ending point, the contour segment with A4 as the starting point and A5 as the ending point is connected with the contour segment with A5 as the starting point and A6 as the ending point, and the contour segment with A6 as the starting point and A1 as the ending point is connected to obtain the outer contour curve of the hob.
In the embodiment of the invention, the outer contour of the hob is divided into a plurality of contour segments by the position data of a plurality of measuring points on the outer contour of the hob. And obtaining an interpolation polynomial of each profile section by adopting an interpolation method so as to obtain a profile curve of each profile section. And obtaining the outer contour curve of the hob based on the contour curves of all the contour sections. The value of the position data corresponding to any data point on the contour curve of the contour segment ensured by the interpolation polynomial in the embodiment of the invention is in the interval marked by the maximum value and the minimum value in the values of the position data of the measuring points, so that the deformation of the outer contour curve of the hob, which is finally fitted, caused by an algorithm is avoided, and the larger deviation is realized between the outer contour curve and the actual outer contour of the hob on the whole, thereby realizing the function of obtaining the wear contour (namely the outer contour) of the hob by fitting.
And moreover, a contour curve is obtained by fitting each contour segment, so that the contour curve of each contour segment is ensured to be consistent with the actual outer contour of the hob. The outer contour curve of the hob obtained through final fitting is guaranteed to have a conformal characteristic, and the accuracy of the outer contour curve of the hob obtained through fitting is improved on the whole.
FIG. 3 is a flow chart of a method of fitting a hob wear profile in another embodiment of the present invention. Fig. 3 differs from fig. 1 in that in some examples the interpolation polynomial described above has monotonicity. That is, the contour curves of the contour segments represented by the interpolation polynomials corresponding to each contour segment have monotonicity. The step S102 may be further detailed as steps S1021 to S1024.
In step S1021, the derivative of the interpolation polynomial is assigned such that the value of the derivative of the interpolation polynomial is the negative of the ratio of the value of the abscissa data to the value of the ordinate data of the position data of one measurement point of the contour segment.
In the present embodiment, the interpolation polynomial is a polynomial related to abscissa data and ordinate data in a rectangular coordinate system in the position data.
In some examples, 2n+1 interpolation polynomials may be chosen, N being a positive integer greater than or equal to 1. For example, if the interpolation polynomial is a cubic interpolation polynomial, the first derivative of the cubic interpolation polynomial is assigned. For another example, if the interpolation polynomial is a quintic interpolation polynomial, the second derivative of the quintic interpolation polynomial is assigned.
The following description will take the example of the interpolation polynomial as a cubic Hermite interpolation polynomial, but other types of interpolation polynomials can be used, and are not limited thereto.
In some examples, the abscissa and ordinate data in the rectangular coordinate system in the above-described position data are each derived based on a radius of a measurement point or data point on the outer contour of the hob and an angle of the measurement point or data point on the outer contour of the hob.
Obtain { P (x) i )＝y i I=1, 2,.. i ＝r i cosθ i ，y i ＝r i sinθ i . In each interval [ x ] i ，x i+1 ]Above, we fit using a cubic Hermite interpolation polynomial. X is x i Is the abscissa data in the rectangular coordinate system of the position data of the i-th measurement point. X is x i+1 Is the abscissa data in the rectangular coordinate system of the position data of the i+1th measurement point. Y mentioned below i Is ordinate data in the rectangular coordinate system of the position data of the i-th measurement point. y is i+1 Ordinate data in the rectangular coordinate system which is the position data of the (i+1) -th measurement point
P(x i ) Is an interpolation polynomial. Therefore, not only the point x needs to be known i The function value at the point x is also given i First derivative value y 'at' i . We give the point x as follows i First derivative at. X is x i The first derivative at (1) is shown as:
wherein y' i As first derivative, x i Values of abscissa data, y, which are position data of a measuring point of the contour segment i Is the value of the ordinate data of the position data of the one measuring point of the contour segment.
Equation (1) corresponds to the angle θ i The first derivative value on the circumference at which x is assigned i . The first derivative is assigned in such a way that the interpolation polynomial has monotonicity and is in the interval x i ，x i+1 ]The inner can guarantee to realize the expression (2) so that the profile curve of the profile section represented by the interpolation polynomial has the conformal characteristic:
min(y i ，y i+1 )≤y(x)≤max(y i ，y i+1 ) (2)
in step S1022, an interpolation method is used to set an interpolation polynomial with unknown coefficients according to the derivative of the interpolation polynomial.
In step S1023, coefficients in the interpolation polynomial are determined using the position data of the measurement points of the contour segment.
In the initial state, an interpolation polynomial whose coefficient is unknown may be set. For example, in the above example with the three-degree Hermite interpolation polynomial, in the interval where the two measurement points corresponding to each contour segment are calibrated, an interpolation polynomial such as equation (3) may be set:
P i (x)＝y i α i (x)+y i+1 α i+1 (x)+y′ i β i (x)+y′ i+1 β i+1 (x) (3)
wherein, the liquid crystal display device comprises a liquid crystal display device,
wherein, alpha in formulas (4), (5), (6) and (7) i (x)、α i+1 (x)、β i (x) And beta i+1 (x) All can be considered as coefficients in the interpolation polynomial.
In step S1024, an interpolation polynomial is obtained from coefficients in the interpolation polynomial.
In the example of step S1023, the coefficient α is obtained i (x)、α i+1 (x)、β i (x) And beta i+1 (x) The coefficients can be substituted into equation (3) to obtain an interpolation polynomial.
According to the interpolation polynomial after substituting the coefficients, the position data of any data point on the contour curve of the contour segment can be calculated.
For each contour segment, the calculation of the interpolation polynomial of the contour segment can be implemented by using steps S1021 to S1024.
FIG. 4 is a schematic view of an apparatus for fitting the wear profile of a hob according to one embodiment of the present invention. As shown in fig. 4, the apparatus 200 for fitting a hob wear profile may include a partitioning module 201, an interpolation module 202, a fitting module 203, and an outer profile determination module 204.
The dividing module 201 is configured to divide the outer contour of the hob into a plurality of contour segments by using a plurality of measurement points on the outer contour of the hob.
Calibrating a contour section at each two adjacent measuring points;
the interpolation module 202 is configured to obtain an interpolation polynomial of the contour segment by using the position data of the measurement point of the contour segment by adopting an interpolation method for each contour segment.
The value of the position data corresponding to any one data point on the contour curve of the contour segment represented by the interpolation polynomial is in a section calibrated by the maximum value and the minimum value in the values of the position data of the measuring points.
And the fitting module 203 is configured to fit to obtain a contour curve of the contour segment by using an interpolation polynomial of the contour segment.
The outer contour determining module 204 is configured to obtain an outer contour curve of the hob based on contour curves of all contour segments.
In the embodiment of the invention, the outer contour of the hob is divided into a plurality of contour segments by the position data of a plurality of measuring points on the outer contour of the hob. And obtaining an interpolation polynomial of each profile section by adopting an interpolation method so as to obtain a profile curve of each profile section. And obtaining the outer contour curve of the hob based on the contour curves of all the contour sections. The value of the position data corresponding to any data point on the contour curve of the contour segment ensured by the interpolation polynomial in the embodiment of the invention is in the interval marked by the maximum value and the minimum value in the values of the position data of the measuring points, so that the deformation of the outer contour curve of the hob, which is finally fitted, caused by an algorithm is avoided, and the larger deviation is realized between the outer contour curve and the actual outer contour of the hob on the whole, thereby realizing the function of fitting to obtain the wear contour (namely the outer contour) of the hob.
In some examples, the interpolation polynomial is a polynomial related to abscissa and ordinate data in a rectangular coordinate system in the position data.
The interpolation module 202 is specifically configured to: assigning a value to the derivative of the interpolation polynomial such that the value of the derivative of the interpolation polynomial is a negative of the ratio of the value of the abscissa data to the value of the ordinate data of the position data of one measurement point of the profile segment; setting an interpolation polynomial with unknown coefficients according to the derivative of the interpolation polynomial by adopting an interpolation method; determining coefficients in the interpolation polynomial by using position data of the measuring points of the contour segments; and obtaining an interpolation polynomial according to the coefficients in the interpolation polynomial.
In some examples, the interpolation polynomial is a 2n+1 th order interpolation polynomial, N is a positive integer greater than or equal to 1, and the derivative of the 2n+1 th order interpolation polynomial is the nth derivative.
In some examples, the abscissa and ordinate data in the rectangular coordinate system in the position data are each derived based on a radius of the measurement point or data point on the outer contour of the hob and an angle of the measurement point or data point on the outer contour of the hob.
In some examples, the interpolation polynomial has monotonicity.
FIG. 5 is a schematic structural view of an apparatus for fitting the wear profile of a hob according to an embodiment of the present invention. As shown in fig. 5, the apparatus 300 for fitting a hob wear profile includes a memory 301, a processor 302, and a program stored on the memory 301 and executable on the processor 302.
In one example, the processor 302 may include a Central Processing Unit (CPU), or an Application Specific Integrated Circuit (ASIC), or may be configured to implement one or more integrated circuits of embodiments of the present application.
Memory 301 may include mass storage for data or instructions. By way of example, and not limitation, memory 301 may comprise an HDD, floppy disk drive, flash memory, optical disk, magneto-optical disk, magnetic tape, or Universal Serial Bus (USB) drive, or a combination of two or more of these. Memory 301 may include removable or non-removable (or fixed) media where appropriate. The memory 301 may be internal or external to the control device 300, where appropriate. In a particular embodiment, the memory 301 is a non-volatile solid state memory. In particular embodiments, memory 301 includes Read Only Memory (ROM). The ROM may be mask programmed ROM, programmable ROM (PROM), erasable PROM (EPROM), electrically Erasable PROM (EEPROM), electrically rewritable ROM (EAROM), or flash memory, or a combination of two or more of these, where appropriate.
The processor 302 runs a program corresponding to the executable program code by reading the executable program code stored in the memory 301 for controlling the method of fitting the hob wear profile in the above embodiment.
In one example, the apparatus 300 for fitting a hob wear profile may further include a communication interface 303 and a bus 304. As shown in fig. 5, the memory 301, the processor 302, and the communication interface 303 are connected to each other through the bus 304 and perform communication with each other.
The communication interface 303 is mainly used to implement communication between each module, device, unit and/or apparatus in the embodiments of the present application. Input devices and/or output devices may also be accessed through the communication interface 303.
Bus 304 includes hardware, software, or both, that couple the components of apparatus 300 that fit the hob wear profile to each other. By way of example, and not limitation, bus 304 may include an Accelerated Graphics Port (AGP) or other graphics bus, an Enhanced Industry Standard Architecture (EISA) bus, a Front Side Bus (FSB), a HyperTransport (HT) interconnect, an Industry Standard Architecture (ISA) bus, an infiniband interconnect, a Low Pin Count (LPC) bus, a memory bus, a micro channel architecture (MCa) bus, a Peripheral Component Interconnect (PCI) bus, a PCI-Express (PCI-X) bus, a Serial Advanced Technology Attachment (SATA) bus, a video electronics standards association local (VLB) bus, or other suitable bus, or a combination of two or more of the above. Bus 304 may include one or more buses, where appropriate. Although embodiments of the present application describe and illustrate a particular bus, the present application contemplates any suitable bus or interconnect.
An embodiment of the present application further provides a storage medium having a program stored thereon, which when executed by a processor, controls the method of fitting a hob wear profile in the above embodiment.
It should be understood that, in the present specification, each embodiment is described in an incremental manner, and the same or similar parts between the embodiments are all referred to each other, and each embodiment is mainly described in a different point from other embodiments. For apparatus embodiments, device embodiments, and storage medium embodiments, references may be made to the description of method embodiments. The invention is not limited to the specific steps and structures described above and shown in the drawings. Those skilled in the art will appreciate that various alterations, modifications, and additions may be made, or the order of steps may be altered, after appreciating the spirit of the present invention. Also, a detailed description of known method techniques is omitted here for the sake of brevity.
The functional blocks shown in the above block diagrams may be implemented in hardware, software, firmware, or a combination thereof. When implemented in hardware, it may be, for example, an electronic circuit, an Application Specific Integrated Circuit (ASIC), suitable firmware, a plug-in, a function card, or the like. When implemented in software, the elements of the invention are the programs or code segments used to perform the required tasks. The program or code segments may be stored in a machine readable medium or transmitted over transmission media or communication links by a data signal carried in a carrier wave. A "machine-readable medium" may include any medium that can store or transfer information. Examples of machine-readable media include electronic circuitry, semiconductor memory devices, ROM, flash memory, erasable ROM (EROM), floppy disks, CD-ROMs, optical disks, hard disks, fiber optic media, radio Frequency (RF) links, and the like. The code segments may be downloaded via computer networks such as the internet, intranets, etc.
Claims (10)
1. A method of fitting a hob wear profile, comprising:
dividing the outer contour of the hob into a plurality of contour sections by utilizing a plurality of measuring points on the outer contour of the hob, and calibrating one contour section by every two adjacent measuring points;
for each contour segment, an interpolation method is adopted, and an interpolation polynomial of the contour segment is obtained by utilizing the position data of the measuring points of the contour segment, wherein the value of the position data corresponding to any data point on a contour curve of the contour segment represented by the interpolation polynomial is positioned in a section marked by the maximum value and the minimum value in the values of the position data of the measuring points;
fitting to obtain a contour curve of the contour segment by using the interpolation polynomial of the contour segment;
obtaining an outer contour curve of the hob based on contour curves of all the contour sections;
wherein the interpolation polynomial is a polynomial related to abscissa data and ordinate data in a rectangular coordinate system in the position data;
the interpolation method, which uses the position data of the measuring point of the contour segment to obtain the interpolation polynomial of the contour segment, includes:
assigning a value to a derivative of the interpolation polynomial such that the value of the derivative of the interpolation polynomial is a negative of the ratio of the value of the abscissa data to the value of the ordinate data of the position data of one of the measurement points of the profile segment;
setting an interpolation polynomial with unknown coefficients according to the derivative of the interpolation polynomial by adopting an interpolation method;
determining coefficients in the interpolation polynomial using position data of the measurement points of the contour segment;
and obtaining the interpolation polynomial according to the coefficients in the interpolation polynomial.
2. The method of claim 1, wherein the interpolation polynomial is a 2n+1 th order interpolation polynomial, N is a positive integer greater than or equal to 1, and the derivative of the 2n+1 th order interpolation polynomial is an nth order derivative.
3. The method according to claim 1, characterized in that the abscissa and ordinate data in the rectangular coordinate system in the position data are obtained based on the radius of the measuring point or the data point on the outer contour of the hob and the angle of the measuring point or the data point on the outer contour of the hob.
4. A method according to any one of claims 1 to 3, wherein the interpolation polynomial has monotonicity.
5. An apparatus for fitting a hob wear profile, comprising:
the dividing module is used for dividing the outer contour of the hob into a plurality of contour sections by utilizing a plurality of measuring points on the outer contour of the hob, and calibrating one contour section by every two adjacent measuring points;
the interpolation module is used for obtaining an interpolation polynomial of the profile section by adopting an interpolation method according to the position data of the measuring points of the profile section, wherein the value of the position data corresponding to any one data point on the profile curve of the profile section represented by the interpolation polynomial is positioned in a section marked by the maximum value and the minimum value in the values of the position data of the measuring points;
the fitting module is used for fitting to obtain a contour curve of the contour segment by utilizing the interpolation polynomial of the contour segment;
the outer contour determining module is used for obtaining the outer contour curve of the hob based on the contour curves of all the contour sections;
wherein the interpolation polynomial is a polynomial related to abscissa data and ordinate data in a rectangular coordinate system in the position data;
the interpolation module is specifically configured to:
assigning a value to a derivative of the interpolation polynomial such that the value of the derivative of the interpolation polynomial is a negative of the ratio of the value of the abscissa data to the value of the ordinate data of the position data of one of the measurement points of the profile segment;
setting an interpolation polynomial with unknown coefficients according to the derivative of the interpolation polynomial by adopting an interpolation method;
determining coefficients in the interpolation polynomial using position data of the measurement points of the contour segment;
and obtaining the interpolation polynomial according to the coefficients in the interpolation polynomial.
6. The apparatus of claim 5, wherein the interpolation polynomial is a 2n+1 th order interpolation polynomial, N is a positive integer greater than or equal to 1, and a derivative of the 2n+1 th order interpolation polynomial is an nth order derivative.
7. The apparatus of claim 5, wherein the abscissa and ordinate data in the rectangular coordinate system in the position data are each based on a radius of the measurement point or the data point on the outer contour of the hob and an angle of the measurement point or the data point on the outer contour of the hob.
8. The apparatus of any one of claims 5 to 7, wherein the interpolation polynomial has monotonicity.
9. An apparatus for fitting a hob abrasion profile comprising a memory, a processor and a program stored on said memory and executable on said processor, said processor implementing a method for fitting a hob abrasion profile according to any one of the claims 1 to 4 when said program is executed.
10. A storage medium having stored thereon a program which when executed by a processor implements a method of fitting a hob abrasion profile according to any one of the claims 1 to 4.
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