CN117226193A - Wire-cut electric discharge machine hardware interpolation method, device and storage medium - Google Patents
Wire-cut electric discharge machine hardware interpolation method, device and storage medium Download PDFInfo
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Abstract
The application relates to the technical field of special machining, in particular to a wire-cut electric discharge machine hardware interpolation method, device and equipment and a computer storage medium. The application discloses a wire-cut electric discharge machine hardware interpolation method. Geometric analysis is carried out on the equal point position relation of the equal division straight line and the circular arc, an equal arc length recursion interpolation method fed along the tangential direction of the curve is deduced, and the variable and operation modes in the equal arc length recursion equation are optimized, so that the hardware of the interpolation method is realized, and the interpolation calculation of the wire cut electric discharge machine is improved.
Description
Technical Field
The application relates to the technical field of special machining, in particular to a wire-cut electric discharge machine hardware interpolation method, device and equipment and a computer storage medium.
Background
Compared with the traditional machining, the wire-cut electric discharge machining technology has the characteristics of being free from the influence of the strength, the hardness and the brittleness of the workpiece, and is good at machining the workpiece with high precision and complex shape, so that the wire-cut electric discharge machining technology is widely applied to the fields of aerospace, die machining and the like.
Fig. 1 shows a composition structure of a numerical control system of a wire-cut electric discharge machine, and the wire-cut electric discharge machine is generally based on an industrial personal computer to design an embedded numerical control system due to limitations and requirements in terms of cost, volume, operation environment and the like, so that the computing and storage capacity of the numerical control system is very limited, complex motion control in the wire-cut electric discharge machine is mainly completed by the industrial personal computer at present, the performance of the industrial personal computer is insufficient to support a motion control task along with the requirement on functional diversity, and complex motion control algorithm is continuously deployed in the industrial personal computer, so that hidden danger is brought to real-time processing and normal operation of the motion control system.
Disclosure of Invention
Therefore, the application aims to solve the technical problems that the normal operation of a numerical control system of a wire cut electric discharge machine is affected by excessive consumption performance, storage and the like when a PC is used for interpolation in the prior art.
In order to solve the technical problems, the application provides a wire-cut electric discharge machine hardware interpolation method, which comprises the following steps:
acquiring an equal arc length recurrence equation, and decomposing the equal arc length recurrence equation into an integer part recurrence equation and a decimal part recurrence equation;
converting floating point number multiplication operation in the fractional part recurrence equation into shift operation;
converting floating point number addition and subtraction operations in the decimal part recurrence equation into shaping addition and subtraction operations;
and performing recursion operation according to the integer part recursion equation and the converted decimal part recursion equation, accumulating the increment in the recursion process, and generating interpolation pulses according to the accumulation result.
Preferably, the acquiring the equal arc length recurrence equation includes:
geometric analysis is carried out on the position relation of the first and second equal dividing points on the arc, all subsequent equal dividing points are solved in a recursive mode, and the equal arc length recursive equation is obtained:
wherein,is the i-th arc equal division point +.>Horizontal and vertical signs of (2), ->Is the i-1 th arc equal division point +.>Horizontal and vertical signs of (2), ->Is the i-2 th arc equal division point +.>The abscissa and ordinate marks of (2), wherein +.>In (a) and (b)Is->Or->Representing equal arc length abscissa recurrence equation or equal arc length ordinate recurrence equation, +.>Is proportional constant.
Preferably, the integer part recurrence equation is:
wherein,is->Integer part of>Is->Integer part of>Is->Is an integer part of (c).
Preferably, the fractional part recurrence equation is:
wherein,is->Fractional part of->Is->Fractional part of->Is->Is a fraction of the fraction of (c).
Preferably, said converting floating point number multiplication operations in said fractional part recurrence equation to shift operations comprises:
will beKIs set asWherein n is a positive integer.
Preferably, the converting the floating point number addition and subtraction operation in the fractional part recurrence equation into the shaping addition and subtraction operation includes:
and amplifying each term in the fractional part recurrence equation according to a preset multiple.
Preferably, the accumulating the increment in the recursion process, and generating the interpolation pulse according to the accumulation result includes:
a, accumulating recursion increments in the x-axis and y-axis directions in the recursion process when the equal arc length of the equal arc is not greater than a preset threshold value, so as to obtain accumulated quantities in the x-axis and y-axis directions;
b, when the accumulated quantity in the x-axis or y-axis direction exceeds the preset threshold, feeding a unit to the direction;
and c, cycling the steps a-b to generate interpolation pulses.
The application also provides a wire-cut electric discharge machine hardware interpolation device, which comprises:
the recurrence equation construction module is used for acquiring equal arc length recurrence equations and decomposing the equal arc length recurrence equations into integer part recurrence equations and decimal part recurrence equations;
the recurrence equation conversion module is used for converting floating point number multiplication operation in the decimal part recurrence equation into shift operation and converting floating point number addition and subtraction operation in the decimal part recurrence equation into shaping addition and subtraction operation;
and the interpolation pulse generation module is used for carrying out recursion operation according to the integer part recursion equation and the converted decimal part recursion equation, accumulating the increment in the recursion process and generating interpolation pulses according to the accumulation result.
The application also provides a wire-cut electric discharge machine hardware interpolation device, comprising:
a memory for storing a computer program;
and the hardware microprocessor is used for realizing the steps of the wire-cut electric discharge machining hardware interpolation method when executing the computer program.
The present application also provides a computer-readable storage medium having stored thereon a computer program which, when executed by a hardware microprocessor, implements the steps of the wire-cut electric discharge machine hardware interpolation method described above.
Compared with the prior art, the technical scheme of the application has the following advantages:
according to the wire cut electrical discharge machining hardware interpolation method, on the basis of an equal arc length recursion interpolation method, the equal arc length recursion equation is decomposed into an integer part recursion equation and a decimal part recursion equation, and the problems of floating point multiplication and floating point addition and subtraction operation in the equation are solved by optimizing variables and operation modes of the decimal part recursion equation, so that the hardware of interpolation is realized, and finally the performance of a medium-speed wire-moving machine tool is improved.
Drawings
In order that the application may be more readily understood, a more particular description of the application will be rendered by reference to specific embodiments thereof which are illustrated in the appended drawings, in which:
FIG. 1 is a schematic diagram of a numerical control system of a wire electric discharge machine;
FIG. 2 is a flowchart of an implementation of a wire-cut electric discharge machine hardware interpolation method provided by the present application;
FIG. 3 is a schematic illustration of an equal circular arc;
FIG. 4 is a graph showing the change of n values;
FIG. 5 is a schematic diagram of the principle of equal arc length recursive interpolation;
fig. 6 is a schematic diagram of a process of an equal arc length recursive interpolation method.
Detailed Description
The application provides a wire cut electrical discharge machining hardware interpolation method, device, equipment and a computer storage medium, which solve the problems of floating point number multiplication and floating point number addition and subtraction operation in an equation, realize the hardware of interpolation and finally improve the performance of a medium-speed wire-moving machine tool.
In order to better understand the aspects of the present application, the present application will be described in further detail with reference to the accompanying drawings and detailed description. It will be apparent that the described embodiments are only some, but not all, embodiments of the application. All other embodiments, which can be made by those skilled in the art based on the embodiments of the application without making any inventive effort, are intended to be within the scope of the application.
Referring to fig. 2, fig. 2 is a flowchart of an implementation of a wire-cut electric discharge machine hardware interpolation method according to the present application; the specific operation steps are as follows:
s101, acquiring an equal arc length recurrence equation, and decomposing the equal arc length recurrence equation into an integer part recurrence equation and a decimal part recurrence equation;
s102, converting floating point number multiplication operation in the decimal part recurrence equation into shift operation;
s103, converting floating point number addition and subtraction operation in the decimal part recurrence equation into shaping addition and subtraction operation;
s104, performing recursion operation according to the integer part recursion equation and the converted decimal part recursion equation, accumulating the increment in the recursion process, and generating interpolation pulses according to the accumulation result.
Based on the above embodiments, the present embodiment describes step S101 in detail:
fig. 3 shows an equally divided arc, and by performing geometric analysis on the relationship of equally divided points on the arc, an equal arc length recurrence equation of all subsequent equally divided points can be solved in a recurrence manner under the condition of the first equally divided point and the second equally divided point:
wherein,is the i-th arc equal division point +.>Horizontal and vertical signs of (2), ->Is the i-1 th arc equal division point +.>Horizontal and vertical signs of (2), ->Is the i-2 th arc equal division point +.>The abscissa and ordinate marks of (2), wherein +.>In (a) and (b)Is->Or->Representing equal arc length abscissa recurrence equation or equal arc length ordinate recurrence equation, +.>Is proportional constant:
wherein,for each arc length +.>Is a circular arc radius.
If the curve is straight, then only。
The integer part recurrence equation is:
wherein,is->Integer part of>Is->Integer part of>For the->Is an integer part of (c).
The fractional part recurrence equation is:
wherein,is->Fractional part of->Is->Fractional part of->Is->Is a fraction of the fraction of (c).
In order to apply the equal arc length recursive interpolation equation to a hardware microprocessor such as an FPGA, the equal arc length recursive interpolation equation must be subjected to hardware, and the difficulty of the hardware is mainly reflected in floating point number multiplication and floating point number addition and subtraction operation in the equation.
Based on the above embodiments, the present embodiment describes step S102 in detail:
will beSet to->Wherein->Is a positive integer; in order to meet the requirements of the processing conditions, the circular arcs of different radii are given in FIG. 4 +.>And the value is taken, so that the multiplication of the floating point number in the recurrence equation can be converted into shift operation, and the problem caused by the multiplication operation is avoided.
Based on the above embodiments, the present embodiment describes in detail step S103:
for floating point number addition and subtraction, the hardware cannot directly add and subtract the floating point number level, but it is easy to implement integer arithmetic, so by adding some multiple to each of the fractional part equations in the equal arc length recurrence equation (in one embodiment) The floating point number is amplified and approximately converted into integer, so that the problem of addition and subtraction of the floating point number can be solved, and the calculation of a recurrence formula can be performed through integer operation.
Based on the above embodiments, the present embodiment describes in detail step S104:
FIG. 5 shows the principle of applying the equal arc length recurrence equation to interpolation, wherein the recurrence formula is repeated under the condition that the equal arc length of the equal arc is less than or equal to the preset threshold (1 in one embodiment)The direction recursion increment is accumulated, when the accumulated amount exceeds 1, a unit can be fed to the direction, and the interpolation of the curve can be completed by cycling the operation.
Table 1 shows the pattern mapping manner in which interpolation of straight lines or circular arcs in other quadrants is achieved in the first quadrant by the mapping method.
Table 1 pattern mapping mode
Based on the above embodiment, the actual processing steps of the application applied to the medium-speed wire-moving machine tool are shown in fig. 6, and the whole machine tool can be divided into 7 main steps, wherein the 2 nd, 3 rd and 4 th steps are key steps of the application:
first, wait for interpolation to be triggered.
And secondly, carrying out integer recurrence equation operation.
The integer part recurrence equation is:
wherein,is->Integer part of>Is->Integer part of>For the->Is an integer part of (c).
Third, variable K multiplication, i.e. based onAnd performs a corresponding shift operation.
Will beSet to->Wherein->Is a positive integer; in order to meet the requirements of the processing conditions, the circular arcs of different radii are given in FIG. 3 +.>And the value is taken, so that the multiplication of the floating point number in the recurrence equation can be converted into shift operation, and the problem caused by the multiplication operation is avoided.
And fourthly, performing decimal recursive equation operation.
The fractional part recurrence equation is:
wherein, is thatAbove->Fractional part of->Is->Fractional part of->Is->Is a fraction of the fraction of (c).
For floating point number addition and subtraction, hardware cannot directly add and subtract the floating point number level, but it is easy to implement integer operation, so by adding some multiple to each item of the fractional part equation in the equal arc length recurrence equation (inIn one embodiment, is) The floating point number is amplified and approximately converted into integer, so that the problem of addition and subtraction of the floating point number can be solved, and the calculation of a recurrence formula can be performed through integer operation.
And fifthly, accumulating the increment in the recursion process, and generating interpolation pulse according to whether the accumulation overflows or not. The accumulating the increment in the recursion process, and generating interpolation pulses according to the accumulation result comprises the following steps:
when the equal arc length of the equal arc is not greater than a preset threshold value, accumulating the recursion increment of the X-axis direction and the Y-axis direction in the recursion process to obtain the accumulated quantity of the X-axis direction and the Y-axis direction;
when the accumulated amount in the x-axis or y-axis direction exceeds the preset threshold, feeding a unit to the direction;
the above operation is looped to generate interpolation pulses.
And sixthly, carrying out iterative updating on the variables in the recurrence equation.
The application discloses a wire-cut electric discharge machine hardware interpolation method. Geometric analysis is carried out on the equal point position relation of the equal division straight line and the circular arc, an equal arc length recursion interpolation method fed along the tangential direction of the curve is deduced, and the variable and operation modes in the equal arc length recursion equation are optimized, so that the hardware of the interpolation method is realized, and the interpolation calculation of the wire cut electric discharge machine is improved.
The embodiment of the application also provides a wire cut electric discharge machine hardware interpolation device; the specific apparatus may include:
the recurrence equation construction module is used for acquiring equal arc length recurrence equations and decomposing the equal arc length recurrence equations into integer part recurrence equations and decimal part recurrence equations;
the recurrence equation conversion module is used for converting floating point number multiplication operation in the decimal part recurrence equation into shift operation and converting floating point number addition and subtraction operation in the decimal part recurrence equation into shaping addition and subtraction operation;
and the interpolation pulse generation module is used for carrying out recursion operation according to the integer part recursion equation and the converted decimal part recursion equation, accumulating the increment in the recursion process and generating interpolation pulses according to the accumulation result.
The wire-cut electric discharge machine hardware interpolation device of this embodiment is used to implement the foregoing wire-cut electric discharge machine hardware interpolation method, so that the specific implementation of the wire-cut electric discharge machine hardware interpolation device may be referred to the example portions of the foregoing wire-cut electric discharge machine hardware interpolation method, for example, the recurrence equation construction module, the recurrence equation conversion module, and the interpolation pulse generation module, which are used to implement steps S101, S102, S103, and S104 in the foregoing wire-cut electric discharge machine hardware interpolation method, so that the specific implementation thereof may refer to the description of the examples of the respective portions and will not be repeated herein.
The specific embodiment of the application also provides a wire-cut electric discharge machine hardware interpolation device, which comprises:
a memory for storing a computer program;
a hardware microprocessor (FPGA, etc.) for implementing the steps of the wire-cut electric discharge machining hardware interpolation method described above when executing the computer program.
The specific embodiment of the application also provides a computer readable storage medium, wherein the computer readable storage medium stores a computer program, and the computer program realizes the steps of the wire electric discharge machine hardware interpolation method when being executed by a hardware microprocessor.
It will be appreciated by those skilled in the art that embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a hardware microprocessor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the hardware microprocessor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
It is apparent that the above examples are given by way of illustration only and are not limiting of the embodiments. Other variations and modifications of the present application will be apparent to those of ordinary skill in the art in light of the foregoing description. It is not necessary here nor is it exhaustive of all embodiments. While still being apparent from variations or modifications that may be made by those skilled in the art are within the scope of the application.
Claims (10)
1. A wire-cut electric discharge machine hardware interpolation method, comprising:
acquiring an equal arc length recurrence equation, and decomposing the equal arc length recurrence equation into an integer part recurrence equation and a decimal part recurrence equation;
converting floating point number multiplication operation in the fractional part recurrence equation into shift operation;
converting floating point number addition and subtraction operations in the decimal part recurrence equation into shaping addition and subtraction operations;
and performing recursion operation according to the integer part recursion equation and the converted decimal part recursion equation, accumulating the increment in the recursion process, and generating interpolation pulses according to the accumulation result.
2. The wire-cut electrical discharge machining hardware interpolation method of claim 1, wherein the obtaining an equal arc length recurrence equation comprises:
geometric analysis is carried out on the position relation of the first and second equal dividing points on the arc, all subsequent equal dividing points are solved in a recursive mode, and the equal arc length recursive equation is obtained:
wherein,is the i-th arc equal division point +.>Horizontal and vertical signs of (2), ->Is the i-1 th arc equal division point +.>Horizontal and vertical signs of (2), ->Is the (i-2)Arc equal division point +.>The abscissa and ordinate marks of (2), wherein +.>Is->Is->Or->Representing equal arc length abscissa recurrence equation or equal arc length ordinate recurrence equation, +.>Is proportional constant.
3. The wire-cut electric discharge machine hardware interpolation method of claim 2, wherein the integer part recurrence equation is:
wherein,is->Integer part of>Is->Integer part of>Is->Is an integer part of (c).
4. The wire-cut electric discharge machine hardware interpolation method of claim 3, wherein the fractional part recurrence equation is:
wherein,is->Fractional part of->Is->Fractional part of->Is->Is a fraction of the fraction of (c).
5. The wire-cut electrical discharge machining hardware interpolation method of claim 4, wherein converting the floating-point number multiplication operation in the fractional part recurrence equation to a shift operation comprises:
will beSet to->Wherein n is a positive integer.
6. The wire-cut electrical discharge machining hardware interpolation method of claim 1, wherein converting floating-point number addition-subtraction operations in the fractional part recurrence equation to shaped addition-subtraction operations comprises:
and amplifying each term in the fractional part recurrence equation according to a preset multiple.
7. The wire-cut electric discharge machine hardware interpolation method according to claim 1, wherein accumulating the increments in the recursion process, generating the interpolation pulse based on the accumulation result comprises:
a, accumulating recursion increments in the x-axis and y-axis directions in the recursion process when the equal arc length of the equal arc is not greater than a preset threshold value, so as to obtain accumulated quantities in the x-axis and y-axis directions;
b, when the accumulated quantity in the x-axis or y-axis direction exceeds the preset threshold, feeding a unit to the direction;
and c, cycling the steps a-b to generate interpolation pulses.
8. A wire-cut electric discharge machine hardware interpolation device, comprising:
the recurrence equation construction module is used for acquiring equal arc length recurrence equations and decomposing the equal arc length recurrence equations into integer part recurrence equations and decimal part recurrence equations;
the recurrence equation conversion module is used for converting floating point number multiplication operation in the decimal part recurrence equation into shift operation and converting floating point number addition and subtraction operation in the decimal part recurrence equation into shaping addition and subtraction operation;
and the interpolation pulse generation module is used for carrying out recursion operation according to the integer part recursion equation and the converted decimal part recursion equation, accumulating the increment in the recursion process and generating interpolation pulses according to the accumulation result.
9. A wire-cut electric discharge machine hardware interpolation apparatus, comprising:
a memory for storing a computer program;
a hardware microprocessor for implementing the steps of a wire-cut electric discharge machine hardware interpolation method according to any one of claims 1 to 7 when executing the computer program.
10. A computer-readable storage medium, characterized in that the computer-readable storage medium has stored thereon a computer program which, when executed by a hardware microprocessor, implements the steps of a wire-cut electric discharge machine hardware interpolation method according to any one of claims 1 to 7.
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