CN109976261A - The method for solving of surplus Optimized model towards processing positioning - Google Patents

The method for solving of surplus Optimized model towards processing positioning Download PDF

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Publication number
CN109976261A
CN109976261A CN201910333799.9A CN201910333799A CN109976261A CN 109976261 A CN109976261 A CN 109976261A CN 201910333799 A CN201910333799 A CN 201910333799A CN 109976261 A CN109976261 A CN 109976261A
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surplus
optimized model
blank
solving
machining allowance
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CN109976261B (en
Inventor
张定华
刘广鑫
张莹
吴宝海
吴晓峰
胡思嘉
种磊
刘志军
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Northwestern Polytechnical University
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Northwestern Polytechnical University
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B19/00Programme-control systems
    • G05B19/02Programme-control systems electric
    • G05B19/18Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/4097Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by using design data to control NC machines, e.g. CAD/CAM
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B2219/00Program-control systems
    • G05B2219/30Nc systems
    • G05B2219/35Nc in input of data, input till input file format
    • G05B2219/35215Generate optimal nc program variant as function of cost, time, surface, energy

Abstract

The invention discloses a kind of method for solving of surplus Optimized model towards processing positioning, cannot achieve the technical issues of machining allowance is uniformly distributed for solving minimax optimization model disclosed in existing method.Technical solution is to comprehensively consider the minimum margin and maximum surplus of blank, establishes the surplus Optimized model of the two optimization simultaneously;And surplus Optimized model is solved using particle swarm algorithm;Under the premise of blank qualification, being uniformly distributed for machining allowance is realized while guaranteeing that CAD digital-to-analogue machined surface has sufficient machining allowance based on the positioning result that the surplus Optimized model solves.

Description

The method for solving of surplus Optimized model towards processing positioning
Technical field
The present invention relates to a kind of method for solving of surplus Optimized model towards processing positioning.
Background technique
Intricate casting blank in domestic air mail industry will determine benchmark by traditional artificial hatched manner, can not quantitatively evaluating Geometrical dimensions, homogenizing machining allowance, process need to repair benchmark repeatedly, repeatedly adjust processing program, lead to processing week The problems such as phase is long, processing quality is unstable.To remove this technical process crossed by hand, the general side using digitlization registration Formula, steps are as follows: (1) obtaining blank surface using three coordinate measuring machine and measure point set;(2) the surplus optimization of CAD digital-to-analogue is established Model;(3) surplus Optimized model is solved to be aligned blank surface measurement point set and CAD digital-to-analogue, guarantees that all machined surfaces have foot Enough machining allowance;(4) if calculated result meets machining allowance requirement, the processing of blank is carried out;Otherwise determine that blank does not conform to Lattice.
Document " An unconstrained approach to blank localization with allowance Assurance for machining complex parts, international journal of advanced Manufacturing technology, 2014, Vol73, pp647-658 " discloses a kind of unconfined surplus Optimized model With method for solving.This method constructs unconfined minimax optimization model
max min[di(x)] i=1 ..., n
D in formulai(x) machining allowance at ith measurement point is indicated, while excellent to minimax using the method for entropy optimization Change model and carries out the positioning result for solving to obtain blank;It ensure that CAD digital-to-analogue machined surface has under the premise of blank qualification Sufficient machining allowance.Document the method only considered the minimum margin optimization problem of blank, cannot achieve machining allowance It is uniformly distributed.
Summary of the invention
In order to overcome minimax optimization model disclosed in existing method to cannot achieve the equally distributed deficiency of machining allowance, The present invention provides a kind of method for solving of surplus Optimized model towards processing positioning.This method comprehensively considers more than the minimum of blank Amount and maximum surplus, establish the surplus Optimized model of the two optimization simultaneously;And using particle swarm algorithm to surplus Optimized model into Row solves;Under the premise of blank qualification, added based on the positioning result that the surplus Optimized model solves in guarantee CAD digital-to-analogue Being uniformly distributed for machining allowance may be implemented while having sufficient machining allowance in work face.
A kind of the technical solution adopted by the present invention to solve the technical problems: surplus Optimized model towards processing positioning Method for solving, its main feature is that the following steps are included:
The first step, by blank with any attitude clamping on numerically controlled machine, obtain hair using three coordinate measuring machine Base surface measurement point set.
Second step measures point set and CAD digital-to-analogue progress rough registration to blank surface using three-point fix principle, makes the two phase To being closely located to, obtain blank surface measure point set to CAD digital-to-analogue rough registration transformation matrix.
Third step establishes minimum margin and maximum surplus while the surplus Optimized model of optimizationFormula Middle di(x) machining allowance at ith measurement point is indicated.
4th step, on the basis of rough registration, surplus Optimized model is solved using particle swarm algorithm, is obtained final Positional parameter;Terminate if positioning result is met the requirements at this time;Determine that blank does not conform to if positioning result is unable to satisfy requirement Lattice.
The beneficial effects of the present invention are: this method comprehensively considers the minimum margin and maximum surplus of blank, it is same to establish the two The surplus Optimized model of Shi Youhua;And surplus Optimized model is solved using particle swarm algorithm;In the premise of blank qualification Under, sufficient machining allowance is had in guarantee CAD digital-to-analogue machined surface based on the positioning result that the surplus Optimized model solves Being uniformly distributed for machining allowance is realized simultaneously.
It elaborates with reference to the accompanying drawings and detailed description to the present invention.
Detailed description of the invention
Fig. 1 is the flow chart of the method for solving of surplus Optimized model of the present invention towards processing positioning.
Fig. 2 is the allowance balance comparison diagram of the method for the present invention example positioning result.
Specific embodiment
Referring to Fig.1-2.Specific step is as follows for the method for solving of surplus Optimized model of the present invention towards processing positioning:
Step 1 obtains blank measurement point set.
By blade blank with any attitude clamping on numerically controlled machine, blank table is obtained using three coordinate measuring machine Planar survey point set.
Step 2, the rough registration for carrying out blank surface measurement point set and CAD digital-to-analogue.
Rough registration is carried out to blank surface measurement point set and CAD digital-to-analogue using three-point fix principle, makes the two relative position It is close, it obtains blank surface and measures point set to CAD digital-to-analogue rough registration transformation matrix.
Step 3 establishes surplus Optimized model.
Establish minimum margin and maximum surplus while the surplus Optimized model of optimizationD in formulai(x) Indicate the machining allowance at ith measurement point.
Step 4 solves surplus Optimized model using particle swarm algorithm.
On the basis of rough registration, surplus Optimized model is solved using particle swarm algorithm, particle swarm algorithm is set In each parameter value: using the search capability and efficiency of algorithm for guaranteeing algorithm as principle, take population scale M=40, take greatest iteration Times N=50;In the speed formula of kth step iterationIn, i is particle sequence Number, j is particle dimension, pijFor the personal best particle that each particle search arrives, pgjThe global optimum position searched for population It sets, r1, r2It is the random number in [0,1], inertial factor w is tactful using LDW (Linearly Decreasing Weight), InTake wmin=0.4, wmax=0.9, autognosis factor c1With the group cognition factor c2Using PSO-TVAC (PSO with Time Varying Acceleration Coefficients) method, whereinTake c1i=2.5, c1f=0.5, c2i=0.5, c2f=2.5;With Machine initializes M coordinate transform vector (including along X, the translational movement of Y-direction and rotation amount about the z axis) as primary, if Position fixing converts the value range [x of three components in vector xmin, xmax], wherein translation measures [- 5mm, 5mm], rotation is measured [- 5 °, 5 °], the maximum value of particle rapidity absolute value takes vmax=xmax-x min;By the objective function of surplus Optimized modelAs the fitness function of algorithm, group's optimal particle p is calculatedijWith group optimal particle pgj, to calculate The speed of each particleAccording toPosition of each particle in following iteration step is calculated until iterative steps Reach maximum number of iterations N;Gained group optimal particle is the positional parameter of blank;At this time if positioning result is met the requirements Terminate;Otherwise determine that blank is unqualified and be unable to satisfy requirement.
The implementation result of the present embodiment is as shown in Fig. 2, table 1:
Table 1: positioning result comparison
Table 1 is of the invention statistics indicate that the minimum margin that solves of minimax optimization model and Optimized model of the present invention is close The maximum surplus and surplus variance that Optimized model solves all are significantly less than minimax optimization model solution.Fig. 2 shows this hair The allowance balance figure that bright method obtains has lower wave crest and higher trough.Illustrate in the positioning result that the present invention solves It ensure that blade has sufficient machining allowance, and allowance balance is more more uniform than the positioning result that Min-max search algorithm solves.

Claims (1)

1. a kind of method for solving of the surplus Optimized model towards processing positioning, it is characterised in that the following steps are included:
The first step, by blank with any attitude clamping on numerically controlled machine, obtain blank table using three coordinate measuring machine Planar survey point set;
Second step measures point set and CAD digital-to-analogue progress rough registration to blank surface using three-point fix principle, makes the opposite position of the two Set it is close, obtain blank surface measure point set to CAD digital-to-analogue rough registration transformation matrix;
Third step establishes minimum margin and maximum surplus while the surplus Optimized model of optimizationD in formulai (x) machining allowance at ith measurement point is indicated;
4th step, on the basis of rough registration, surplus Optimized model is solved using particle swarm algorithm, obtains and final determines Position parameter;Terminate if positioning result is met the requirements at this time;Determine that blank is unqualified if positioning result is unable to satisfy requirement.
CN201910333799.9A 2019-04-24 2019-04-24 Solving method of margin optimization model facing to machining positioning Active CN109976261B (en)

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CN113536488B (en) * 2021-08-07 2023-01-24 西北工业大学 Blank quality containment analysis and allowance optimization method based on registration algorithm

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