CN109977579A - Improve the Machine-settings optimization method of hypoid gear meshing quality - Google Patents
Improve the Machine-settings optimization method of hypoid gear meshing quality Download PDFInfo
- Publication number
- CN109977579A CN109977579A CN201910265785.8A CN201910265785A CN109977579A CN 109977579 A CN109977579 A CN 109977579A CN 201910265785 A CN201910265785 A CN 201910265785A CN 109977579 A CN109977579 A CN 109977579A
- Authority
- CN
- China
- Prior art keywords
- steamboat
- tooth
- meshing
- machine
- settings
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/17—Mechanical parametric or variational design
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N3/00—Computing arrangements based on biological models
- G06N3/12—Computing arrangements based on biological models using genetic models
- G06N3/126—Evolutionary algorithms, e.g. genetic algorithms or genetic programming
Abstract
The invention discloses a kind of Machine-settings optimization methods for improving hypoid gear meshing quality, gear blank geometric parameter, cutting cutter dimensional parameters and the Machine-settings of given bull wheel, and after the gear blank geometric parameter and cutting cutter dimensional parameters of given steamboat, improve hypoid gear meshing quality by optimizing and revising steamboat Machine-settings.Optimization process combination gear Machine-settings calculate, the analysis of computer gear teeth meshing and parametrization meshing performance are evaluated, optimizing is iterated using genetic algorithm, finally obtain the individual for meeting default meshing performance evaluation goal value, obtain corresponding steamboat Machine-settings, it realizes the optimized controllable of hypoid gear pair meshing performance, and can effectively avoid the bad meshing state of EDGE CONTACT and angular contact.
Description
Technical field
The present invention relates to the Machine-settings optimization methods of hypoid gear, quasi- double more particularly for improving
The Machine-settings optimization method of curved surface gear meshing quality.
Background technique
Hypoid gear is often applied to big load, high-revolving mechanism because having many advantages, such as that reduction ratio is big, small in size
In, it is more demanding to its smoothness of operation, quiet property.The good vibration noise performance of gear pair and ideal face feature
Closely related, the engagement of hypoid gear at present is examined usually to be mounted on gear pair to roll and be operated on checking machine, observes tooth
The position of face meshing mark, size and Orientation are corrected the Machine-settings of pinion gear accordingly and are re-worked and examine again, directly
The meshing mark met the requirements to acquisition.Not only the test period is long for existing method, needs to expend a large amount of manpower and material resources, adjustment ginseng
Number is various, optimization aim is indefinite, and can only control meets the requirements the contact zone near meshing point, is unable to the mesh control flank of tooth
On entire contact area, also fail to eliminate driving error curve defect that may be present.
It is disclosed in the application for a patent for invention specification of Publication No. CN106369139A " a kind of to meet high order driving error
Machining of Near-Hyperboloid Gear parameter acquiring method ", it is small to calculate using the method for default high order driving error curve
The wheel flank of tooth then obtains Machine-settings.The method obtains new small firstly the need of default high order driving error tracing pattern
The flank of tooth is taken turns, correction of the flank shape is carried out to the flank of tooth, correction of the flank shape face is readjusted further according to preset exposure trace, it is finally anti-using high-order error
The method asked, which obtains, to be met the pinion gear of default high order driving error curve and the preset exposure marking and practices Buddhism or Taoism the new gear mesh behind face
The Machine-settings answered.This method, which needs to solve three times, calculates the steamboat flank of tooth, and step is more, be also not directed to EDGE CONTACT and
Angular contact etc. bad contact condition optimization process.
Summary of the invention
The present invention is to provide a kind of improvement hypoid gear engagement matter to avoid the problems of above-mentioned prior art
The Machine-settings optimization method of amount avoids carrying out rolling inspection to hypoid gear gear pair and adjustment lathe adds repeatedly
The process of work parameter trial cut reduces experimental manufacturing cost；Meshing quality optimization problem is converted by Machine-settings select permeability
It solves, facilitates design, processing staff's direct regulation and control flank engagement mark characteristic parameter, simplify operation.About by flank engagement mark
Beam avoids the bad meshing state of EDGE CONTACT and angular contact in effective mesh regional, and the generation for reducing gear pair failure is general
Rate improves gear pair service life, while reducing vibration noise when engagement.
The present invention adopts the following technical scheme that in order to solve the technical problem
The characteristics of Machine-settings optimization method of present invention improvement hypoid gear meshing quality, is:
The Machine-settings optimization method refers to: given bull wheel gear blank geometric parameter, bull wheel cutting tool dimension ginseng
Several and bull wheel Machine-settings, and given steamboat gear blank geometric parameter and steamboat cutting cutter dimensional parameters, are optimized and revised small
Machine-settings are taken turns, the steamboat Machine-settings include: Installing machine tool root angle γm, bed Δ XB, horizontal wheels position Δ
XD, workhead offset Δ Em, radial Sr, angular knife position q, cutter tilt i, swivel angle j and cutting rolling compare mcp, described to optimize and revise
Steamboat Machine-settings are to carry out as follows:
Step 1, according to hypoid gear pair design requirement, give bull wheel gear blank geometric parameter, bull wheel cutting cutter ruler
Very little parameter and steamboat gear blank geometric parameter and steamboat cutting cutter dimensional parameters, add for cutting lathe according to corresponding tooth system
Work principle, which calculates separately, obtains bull wheel Machine-settings and steamboat Machine-settings, and is added with calculating the steamboat lathe obtained
Work parameter is as steamboat lathe initial manufacture parameter；
Step 2 utilizes the bull wheel gear blank geometric parameter, bull wheel cutting cutter dimensional parameters and bull wheel Machine-settings
The bull wheel tooth surface equation under bull wheel gear blank coordinate system is established according to corresponding tooth process principle；By steamboat gear blank geometric parameter,
Steamboat cutting cutter dimensional parameters and steamboat lathe initial manufacture parameter establish steamboat gear blank according to corresponding tooth process principle
Steamboat tooth surface equation under coordinate system；
According to the gear pair offset or dish being pre-designed, the bull wheel tooth surface equation and steamboat tooth surface equation are carried out virtual
Assembly, obtains the mesh tooth face equation under engagement coordinate system, passes through computer gear teeth meshing point for the mesh tooth face equation
Analysis obtains gear pair flank engagement mark and gear pair driving error curve；
Step 3, foundation hypoid gear mesh analysis and evaluation theory, it is bent according to the meshing mark and driving error
Line assessment gear pair meshing quality determines the evaluation index of Parametric Analysis meshing mark and driving error curve, the evaluation
Index refers to: meshing mark instantaneous contact ellipse long axis average length Lmean, meshing mark deflection γ and driving error it is bent
Intersection point ordinate value δ on the left of lineleftWith intersection point ordinate value δ on the right side of driving error curveright；
The width of step 4, as expected meshing mark size, meshing mark deflection and driving error curve
Value determines evaluation index target value and optimization precision for the evaluation index, and establishes evaluation index objective function；
The determining evaluation index target value refers to: meshing mark instantaneous contact ellipse long axis average length target value Lopt,
Meshing mark deflection target value gammaopt, driving error curve left side intersection point ordinate target value δleft_optWith driving error curve
Right side intersection point ordinate target value δright_opt；
The optimization precision refers to: instantaneous contact ellipse long axis average length optimizes precision εL, meshing mark deflection is excellent
Change precision εγ, driving error curve left side intersection point ordinate optimization precision εδ_leftWith intersection point ordinate on the right side of driving error curve
Optimize precision εδ_right；
The evaluation index objective function is characterized by formula (1):
Min f(Lmean,γ,δleft,δright) it is evaluation index target function value, refer to and seeks function minimum；
Step 5 carries out optimizing, the mistake of the optimizing to the evaluation index objective function using genetic algorithm
Cheng Zhong initializes number Population in Genetic Algorithms, number of individuals in population is set as N using steamboat Machine-settings as iteration variable,
Algorithm iteration number is set as M；The Machine-settings represented to individual each in the population are processed according to corresponding tooth system
Principle establishes this generation N number of steamboat iteration tooth surface equation；
Step 6 nibbles the bull wheel tooth surface equation with this generation each steamboat iteration tooth surface equation progress computer gear teeth respectively
Analysis is closed, the N group evaluation index value for evaluating gear meshing quality is obtained；The N group evaluation index value is utilized by formula (1)
The objective function characterized, which calculates, obtains this generation all individual evaluation target goals functional values；
Step 7, the setting effective contact area of the flank of tooth, avoid the bad contact condition of EDGE CONTACT, angular contact；The flank of tooth
Effective contact area refers to: the scaling coefficient i from the practical flank of tooth edge of gear according to settingDIt moves inward, is formed
Artificial settings constraint, practical flank of tooth edge remains unchanged, the practical flank of tooth edge include addendum line, dedendum line,
Big end sideline and small end sideline；The scaling coefficient iDRefer to: tooth of the addendum line, dedendum line of constraint at node
The ratio between high practical tooth height at pitch point and big end sideline, small end sideline are at the tooth length and pitch point at node
Practical tooth it is the ratio between long；It is all provided with for the bull wheel flank of tooth and the steamboat flank of tooth and determines constraint；
Step 8, with the effective contact area of the flank of tooth be constraint, constantly iterated to calculate by the process of step 5 and step 6, finally
It obtains making evaluation index target function value Min f (Lmean,γ,δleft,δright) it is equal to εL、εγ、εδ_left、εδ_rightThe sum of it is excellent
Change individual, then meshing mark instantaneous contact ellipse long axis average length Lmean, meshing mark deflection γ and driving error curve
Left side intersection point ordinate value δleftWith right side intersection point ordinate value δrightReach optimization precision, iterative calculation stops, optimizing
Journey terminates.
Steamboat cutting Machine-settings corresponding with the optimization individual are that the optimal processing of steamboat cutting lathe is joined
Number, the steamboat processed using the optimal machined parameters of steamboat cutting lathe and bull wheel according to setting the opposite position of gear pair
It sets and is assembled, the flank engagement mark and driving error curve that completion computer gear teeth meshing is analyzed after assembly can reach
To the instantaneous contact ellipse long axis average length L of settingmean, intersection point is vertical on the left of meshing mark deflection γ and driving error curve
Coordinate value δleftWith right side intersection point ordinate value δrightTarget value；
The characteristics of Machine-settings optimization method of present invention improvement hypoid gear meshing quality, lies also in: described
It is constraint with the effective contact area of the flank of tooth, it is all refers to that the Machine-settings of all individual representatives in per generation population obtain
After steamboat tooth surface equation and bull wheel tooth surface equation carry out the analysis of computer gear teeth meshing, if there is the flank engagement that individual obtains prints
Trace exceeds the effective contact area of the flank of tooth, then the individual is judged as unqualified, and unqualified individual is deleted from contemporary population.
Compared with the prior art, the invention has the advantages that:
1, the method for the present invention adjusts experience independent of the Machine-settings of design of gears and processing staff, for setting
Optimization target values Lopt、γopt、δleft_opt、δright_optReach the small of default meshing performance evaluation index value by calculating to obtain
Machine-settings are taken turns, method is simple, easy to promote and utilize.
2, the engagement of gear pair can intuitively be showed in the method for the present invention according to flank engagement mark and driving error curve
Feature, it is artificial to set optimization target values Lopt、γopt、δleft_opt、δright_optProcess it is convenient to expected engagement feature in real time into
Row adjustment.For example, the optimum results arrived according to the observation adjust meshing mark deflection optimization target values γ at any timeopt, proper range
The interior vibration noise for reducing meshing mark deflection when can reduce engagement, and improve the bearing capacity of gear pair.
3, the method for the present invention constrains in flank engagement mark in effective mesh regional, can effectively avoid EDGE CONTACT, angle
Contact bad contact condition, and then reduce spot corrosion, spot failure mode probability of happening, improve gear pair service life,
Vibration noise when engagement can be reduced simultaneously.
Detailed description of the invention
Fig. 1 is the method for the present invention flow chart；
Fig. 2 is steamboat Machine-settings schematic diagram to be optimized in the method for the present invention；
Fig. 3 is the effective mesh regional schematic diagram of the flank of tooth in the method for the present invention；
Fig. 4 is that effectively mesh regional constrains schematic diagram in the method for the present invention；
Fig. 5 is to optimize nipper wheel set flank engagement trace and driving error curve graph in the present embodiment；
Fig. 6 is to optimize backgear pair flank engagement trace and driving error curve graph in the present embodiment；
Fig. 7 is genetic algorithm iterative process in the present embodiment respectively for population at individual evaluation index target function value curve graph；
Figure label: 1 cage chair revolving speed, 2 angular knife positions, 3 radials, 4 swivel angles, 5 cutter tilts, 6 cutterhead revolving speeds, 7 hang down
Through ship position, 8 gear blank revolving speeds, 9 horizontal wheels positions, 10 Installing machine tool root angles, 11 beds, 12 effective mesh regional sidelines, 13 tooth tops
Line, 14 effective dedendum lines, 15 big end sidelines, 16 small end sidelines, 17 effective mesh regional teeth are long, and 18 effective mesh regional teeth are high,
19 practical teeth are long, and 20 practical teeth are high, 21 practical dedendum lines, 22 instantaneous contact ellipses, 23 instantaneous contact ellipse long axis, and 24 flank of tooth are nibbled
Close trace, 25 driving error curves, optimum individual evaluation index target function value in 26 populations, all individual evaluations in 27 populations
Target goals mean value functions.
Specific embodiment
In the present embodiment, the Machine-settings optimization method for improving hypoid gear meshing quality refers to: given big
Take turns gear blank geometric parameter, bull wheel cutting cutter dimensional parameters and bull wheel Machine-settings, and given steamboat gear blank geometric parameter
With steamboat cutting cutter dimensional parameters, steamboat Machine-settings are optimized and revised, steamboat Machine-settings include: Installing machine tool
Root angle γm, bed Δ XB, horizontal wheels position Δ XD, workhead offset Δ Em, radial Sr, angular knife position q, cutter tilt i, swivel
M is compared in angle j and cutting rollingcp, to reach the target for improving hypoid gear pair meshing quality.
In specific implementation, optimizing and revising steamboat Machine-settings is to carry out as follows:
Step 1, according to hypoid gear pair design requirement, give bull wheel gear blank geometric parameter, bull wheel cutting cutter ruler
Very little parameter and steamboat gear blank geometric parameter and steamboat cutting cutter dimensional parameters, for cutting lathe according to Gleason tooth system
Process principle, which calculates separately, obtains bull wheel Machine-settings and steamboat Machine-settings, and to calculate the steamboat lathe obtained
Machined parameters are as steamboat lathe initial manufacture parameter.
Step 2 utilizes the bull wheel gear blank geometric parameter, bull wheel cutting cutter dimensional parameters and bull wheel Machine-settings
The bull wheel tooth surface equation under bull wheel gear blank coordinate system is established according to corresponding tooth process principle；By steamboat gear blank geometric parameter,
Steamboat cutting cutter dimensional parameters and steamboat lathe initial manufacture parameter establish steamboat gear blank according to corresponding tooth process principle
Steamboat tooth surface equation under coordinate system.
According to the gear pair offset or dish being pre-designed, bull wheel tooth surface equation and steamboat tooth surface equation are virtually filled
Match, obtain engagement coordinate system under mesh tooth face equation, for mesh tooth face equation by computer gear teeth meshing analysis (TCA,
Tooth Contact Analysis) obtain gear pair flank engagement mark and gear pair driving error curve；Virtual assemble is
Refer to according to the preset offset or dish of gear pair, it, will using the method for coordinate transform according to the cartesian coordinate system right-hand rule
Bull wheel tooth surface equation, steamboat tooth surface equation are assembled in engagement coordinate system.Former large and small wheel gear blank coordinate origin is located at engagement and sits
Mark system origin, bull wheel primitive axis line X-direction are parallel to engagement coordinate system Y-axis, and coordinate system X-axis is engaged on steamboat axis X axis direction edge,
Large and small wheel axis distance is offset or dish.And bull wheel tooth surface equation, steamboat tooth surface equation rotate by a certain angle respectively, make to nibble
It is equal to close diameter arrow of the large and small wheel flank of tooth at calculating reference point under coordinate system, and the engaged transmission ratio at calculating reference point is equal to
Theoretical transmission ratio when gear pair designs.
Step 3, foundation hypoid gear mesh analysis and evaluation theory, are commented according to meshing mark and driving error curve
Valence gear pair meshing quality determines that the evaluation index of Parametric Analysis meshing mark and driving error curve, evaluation index refer to:
Meshing mark instantaneous contact ellipse long axis average length Lmean, hand on the left of meshing mark deflection γ and driving error curve
Point ordinate value δleftWith intersection point ordinate value δ on the right side of driving error curveright。
The width of step 4, as expected meshing mark size, meshing mark deflection and driving error curve
Value determines evaluation index target value and optimization precision for evaluation index, and establishes evaluation index objective function.
Determine that evaluation index target value refers to: meshing mark instantaneous contact ellipse long axis average length target value Lopt, engagement
Mark deflection target value gammaopt, driving error curve left side intersection point ordinate target value δleft_optOn the right side of driving error curve
Intersection point ordinate target value δright_opt；
Optimization precision refers to: instantaneous contact ellipse long axis average length optimizes precision εL, meshing mark direction angle and optimizing essence
Spend εγ, driving error curve left side intersection point ordinate optimization precision εδ_leftWith intersection point ordinate optimization on the right side of driving error curve
Precision εδ_right；
Evaluation index objective function is characterized by formula (1):
Min f(Lmean,γ,δleft,δright) it is evaluation index target function value, refer to and seeks function minimum.
Step 5 carries out optimizing to evaluation index objective function using genetic algorithm, during optimizing, with
Steamboat Machine-settings γm、ΔXB、ΔXD、ΔEm、Sr, q, i, j and mcpFor iteration variable, number genetic algorithm kind is initialized
Group, is set as N for number of individuals in population, algorithm iteration number is set as M；The machine tooling ginseng that individual each in population is represented
Number establishes this generation N number of steamboat iteration tooth surface equation according to Gleason tooth process principle.
Bull wheel tooth surface equation is carried out computer gear teeth meshing point with this generation each steamboat iteration tooth surface equation respectively by step 6
It analyses (TCA), obtains the N group evaluation index value for evaluating gear meshing quality；N group evaluation index value is utilized by formula (1) institute
The objective function of characterization, which calculates, obtains this generation all individual evaluation target goals functional values.
Step 7, the setting effective contact area of the flank of tooth, avoid the bad contact condition of EDGE CONTACT, angular contact；The flank of tooth is effective
Contact area refers to: from the practical flank of tooth edge of gear according to the scaling coefficient i of settingDIt moves inward, is formed by people
For the constraint of setting, practical flank of tooth edge is remained unchanged, and practical flank of tooth edge includes addendum line, dedendum line, big end sideline
With small end sideline；Scaling coefficient iDRefer to: tooth height and pitch point of the addendum line, dedendum line of constraint at node
The long practical tooth length at pitch point of the tooth of the ratio between the practical tooth height at place and big end sideline, small end sideline at node
Than；It is all provided with for the bull wheel flank of tooth and the steamboat flank of tooth and determines constraint.
Step 8, with the effective contact area of the flank of tooth be constraint, constantly iterated to calculate by the process of step 5 and step 6, finally
It obtains making evaluation index target function value Min f (Lmean,γ,δleft,δright) it is equal to εL、εγ、εδ_left、εδ_rightThe sum of it is excellent
Change individual, then meshing mark instantaneous contact ellipse long axis average length Lmean, meshing mark deflection γ and driving error curve
Left side intersection point ordinate value δleftWith right side intersection point ordinate value δrightReach optimization precision, iterative calculation stops, optimizing
Journey terminates；Steamboat cutting Machine-settings corresponding with obtained optimum individual are the optimal processing ginseng of steamboat cutting lathe
Number.
The steamboat processed using the optimal machined parameters of steamboat cutting lathe is opposite according to the gear pair of setting with bull wheel
Position is assembled, and the flank engagement mark and driving error curve that completion computer gear teeth meshing is analyzed after assembly can
Reach the instantaneous contact ellipse long axis average length L of settingmean, intersection point on the left of meshing mark deflection γ and driving error curve
Ordinate value δleftWith right side intersection point ordinate value δrightTarget value.
It is that constraint refers to the effective contact area of the flank of tooth: the machine that all individuals represent in per generation population in the present embodiment
After all steamboat tooth surface equations and bull wheel tooth surface equation that bed machined parameters obtain carry out the analysis of computer gear teeth meshing, if there is
The flank engagement mark that individual obtains exceeds the effective contact area of the flank of tooth, then the individual is judged as unqualified, by unqualified individual
It is deleted from contemporary population.
It is arranged in specific implementation: LoptFor 14.8mm, γoptIt is 45 °, δoptIt is -9 × 10-5rad；εL、εγ、εδ_leftWith
εδ_rightIt is 0.01.
Embodiment:
By taking a pair of of offset is the hypoid gear pair of 38mm as an example, big tooth number is 7, and small tooth number is 36, substantially
Geometric parameter is shown in Table 1, is shown in Table 2 and table 3 according to the calculated large and small initial Machine-settings of wheel of Gleason method.
1. hypoid gear pair geometric parameter of table
2. bull wheel machined parameters of table
Gear teeth meshing analysis (TCA) is carried out to the gear pair obtained using above-mentioned machined parameters, the result obtained such as Fig. 5 institute
Show, (a) figure is bull wheel flank engagement mark in Fig. 5, and (b) figure is steamboat flank engagement mark in Fig. 5, and (c) figure is gear in Fig. 5
Auxiliary driving error curve 25.Bull wheel flank engagement mark deflection is about 70 degree at this time as shown in Figure 5, and adjacent two transmissions miss
Poor curve does not have intersection point, can determine whether out that this mesh impact phenomenon will occur to Gear Contact according to gear mesh theory, therefore need
Machined parameters are optimized.According to the bearing capacity requirement to gear pair, optimization target values are set to:
Lopt=14.8mm, γopt=45 °, δopt=-9 × 10-5rad
Consider and the complexity of meshing performance precise requirements and optimization process, optimization precision are set to: εL=εγ=εδ=
0.01。
After process completes optimization as shown in Figure 1, bull wheel machined parameters are constant, and steamboat Machine-settings are adjusted to such as table 3:
The steamboat machined parameters of the optimization of table 3. front and back
In table 3, including Installing machine tool root angle, horizontal wheels position, bed, workhead offset, radial, angular knife position, knife
Totally 9 parameters are adjusting parameter for inclination angle, swivel angle and cutting rolling ratio.
Fig. 2 be steamboat Machine-settings schematic diagram to be optimized, including angular knife position 2, radial 3, swivel angle 4,
Cutter tilt 5, workhead offset 7, horizontal wheels position 9, Installing machine tool root angle 10, bed 11 and cage chair revolving speed 1,6 and of cutterhead revolving speed
Gear blank revolving speed 8.The effective mesh regional of the flank of tooth in optimization process as shown in figure 3, Fig. 3 show effective mesh regional sideline 12,
Addendum line 13, effective dedendum line 14, big end sideline 15, small end sideline 16, effective mesh regional tooth long 17, effective mesh regional tooth
High 18, practical tooth length 19, practical tooth high 20 and practical dedendum line 21.
Flank engagement mark is constrained in effective mesh regional in iterative process, is also shown in constraints policy such as Fig. 4, Fig. 4
Instantaneous contact ellipse 22, instantaneous contact ellipse long axis 23 and flank engagement trace 24 are gone out.In Fig. 4 (a) figure be meshing mark not
Beyond effective mesh regional upper end sideline schematic diagram, (b) figure is that meshing mark shows beyond effective mesh regional upper end sideline in Fig. 4
It is intended to, (c) figure be meshing mark without departing from effective mesh regional lower end sideline schematic diagram in Fig. 4, and (d) figure be to engage to print in Fig. 4
Trace exceeds effective mesh regional lower end sideline schematic diagram.Wherein Fig. 4 (b) and Fig. 4 (d) is unacceptable state, if population kind
This state occurs in individual, and then the individual will be deleted from population.
Flank engagement trace, driving error curve after optimization is as shown in fig. 6, (a) figure is bull wheel flank engagement print in Fig. 6
Trace, (b) figure is steamboat flank engagement mark in Fig. 6, and (c) figure is gear pair driving error curve in Fig. 6；As shown in Figure 6 at this time
Flank engagement trace has extended to gear big end and small end relative to the state concentrated in the middle part of the flank of tooth before being not optimised, distribution
Gear mesh force can be more uniformly dispersed on the flank of tooth by the increase of area, be conducive to raising and the vibration noise of bearing capacity
Inhibition.Adjacent drive error curve has intersection point, and intersection point ordinate and preset value coincide, it was demonstrated that original engagement after optimization
Impact phenomenon has been not present.Whole mesh regional is located in preset effective mesh regional, it was demonstrated that effective mesh regional is about
Beam optimization process is effective.Genetic algorithm iterative calculation it is each for population at individual evaluation index target function value curve as shown in fig. 7,
It is flat including all individual evaluation target goals functions in optimum individual evaluation index target function value 26 in population and population in Fig. 7
Mean value 27 can converge on preset value by 80 iterative calculation optimum individual target function values, it was demonstrated that the genetic algorithm of use
It is feasible and efficient.
Claims (2)
1. a kind of Machine-settings optimization method for improving hypoid gear meshing quality, it is characterized in that:
The Machine-settings optimization method refers to: given bull wheel gear blank geometric parameter, bull wheel cutting cutter dimensional parameters and
Bull wheel Machine-settings, and given steamboat gear blank geometric parameter and steamboat cutting cutter dimensional parameters, optimize and revise small turbine
Bed machined parameters, the steamboat Machine-settings include: Installing machine tool root angle γm, bed Δ XB, horizontal wheels position Δ XD, hang down
Through ship position Δ Em, radial Sr, angular knife position q, cutter tilt i, swivel angle j and cutting rolling compare mcp, described to optimize and revise steamboat
Machine-settings are to carry out as follows:
Step 1, according to hypoid gear pair design requirement, give bull wheel gear blank geometric parameter, bull wheel cutting tool dimension ginseng
Several and steamboat gear blank geometric parameter and steamboat cutting cutter dimensional parameters process original according to corresponding tooth system for cutting lathe
Reason, which calculates separately, obtains bull wheel Machine-settings and steamboat Machine-settings, and to calculate the steamboat machine tooling obtained ginseng
Number is used as steamboat lathe initial manufacture parameter；
Step 2, using the bull wheel gear blank geometric parameter, bull wheel cutting cutter dimensional parameters and bull wheel Machine-settings according to
Corresponding tooth process principle establishes the bull wheel tooth surface equation under bull wheel gear blank coordinate system；By steamboat gear blank geometric parameter, steamboat
Cutting cutter dimensional parameters and steamboat lathe initial manufacture parameter establish steamboat gear blank coordinate according to corresponding tooth process principle
Steamboat tooth surface equation under system；
According to the gear pair offset or dish being pre-designed, the bull wheel tooth surface equation and steamboat tooth surface equation are virtually filled
Match, obtain the mesh tooth face equation under engagement coordinate system, analyzed for the mesh tooth face equation by computer gear teeth meshing,
Obtain gear pair flank engagement mark and gear pair driving error curve；
Step 3, foundation hypoid gear mesh analysis and evaluation theory, are commented according to the meshing mark and driving error curve
Valence gear pair meshing quality determines the evaluation index of Parametric Analysis meshing mark and driving error curve, the evaluation index
Refer to: meshing mark instantaneous contact ellipse long axis average length Lmean, meshing mark deflection γ and driving error curve it is left
Top-cross point ordinate value δleftWith intersection point ordinate value δ on the right side of driving error curveright；
Step 4, as expected meshing mark size, the amplitude of meshing mark deflection and driving error curve, needle
Evaluation index target value and optimization precision are determined to the evaluation index, and establish evaluation index objective function；
The determining evaluation index target value refers to: meshing mark instantaneous contact ellipse long axis average length target value Lopt, engagement
Mark deflection target value gammaopt, driving error curve left side intersection point ordinate target value δleft_optOn the right side of driving error curve
Intersection point ordinate target value δright_opt；
The optimization precision refers to: instantaneous contact ellipse long axis average length optimizes precision εL, meshing mark direction angle and optimizing precision
εγ, driving error curve left side intersection point ordinate optimization precision εδ_leftWith intersection point ordinate optimization essence on the right side of driving error curve
Spend εδ_right；
The evaluation index objective function is characterized by formula (1):
Min f(Lmean,γ,δleft,δright) it is evaluation index target function value, refer to and seeks function minimum；
Step 5 carries out optimizing, the process of the optimizing to the evaluation index objective function using genetic algorithm
In, using steamboat Machine-settings as iteration variable, number Population in Genetic Algorithms is initialized, number of individuals in population is set as N, calculated
Method the number of iterations is set as M；The Machine-settings represented to individual each in the population process original according to corresponding tooth system
Reason establishes this generation N number of steamboat iteration tooth surface equation；
The bull wheel tooth surface equation is carried out computer gear teeth meshing point with this generation each steamboat iteration tooth surface equation respectively by step 6
Analysis, obtains the N group evaluation index value for evaluating gear meshing quality；The N group evaluation index value is utilized by formula (1) institute table
The objective function of sign, which calculates, obtains this generation all individual evaluation target goals functional values；
Step 7, the setting effective contact area of the flank of tooth, avoid the bad contact condition of EDGE CONTACT, angular contact；The flank of tooth is effective
Contact area refers to: from the practical flank of tooth edge of gear according to the scaling coefficient i of settingDIt moves inward, is formed by people
For the constraint of setting, practical flank of tooth edge is remained unchanged, and the practical flank of tooth edge includes addendum line, dedendum line, big end
Sideline and small end sideline；The scaling coefficient iDRefer to: the addendum line of constraint, tooth height of the dedendum line at node with
The long reality at pitch point of the tooth of the ratio between practical tooth height at pitch point and big end sideline, small end sideline at node
The ratio between border tooth length；It is all provided with for the bull wheel flank of tooth and the steamboat flank of tooth and determines constraint；
Step 8, with the effective contact area of the flank of tooth be constraint, constantly iterate to calculate, finally obtain by the process of step 5 and step 6
Make evaluation index target function value Min f (Lmean,γ,δleft,δright) it is equal to εL、εγ、εδ_left、εδ_rightThe sum of optimization
Body, then meshing mark instantaneous contact ellipse long axis average length Lmean, on the left of meshing mark deflection γ and driving error curve
Intersection point ordinate value δleftWith right side intersection point ordinate value δrightReach optimization precision, iterative calculation stops, optimization process knot
Beam.
Steamboat cutting Machine-settings corresponding with the optimization individual are the optimal machined parameters of steamboat cutting lathe, are adopted
The steamboat and bull wheel processed with the optimal machined parameters of steamboat cutting lathe according to setting gear pair relative position into
Luggage is matched, and the flank engagement mark and driving error curve that completion computer gear teeth meshing is analyzed after assembly, which can reach, to be set
Fixed instantaneous contact ellipse long axis average length Lmean, intersection point ordinate on the left of meshing mark deflection γ and driving error curve
Value δleftWith right side intersection point ordinate value δrightTarget value.
2. the Machine-settings optimization method according to claim 1 for improving hypoid gear meshing quality, special
Sign is:
It is described with the effective contact area of the flank of tooth be constraint, refer in per generation population it is all individual represent Machine-settings obtain
After all steamboat tooth surface equations and bull wheel tooth surface equation arrived carry out the analysis of computer gear teeth meshing, if there is individual obtained tooth
Face meshing mark exceeds the effective contact area of the flank of tooth, then the individual is judged as unqualified, by unqualified individual from contemporary population
It deletes.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910265785.8A CN109977579B (en) | 2019-04-03 | 2019-04-03 | Machine tool machining parameter optimization method for improving hypoid gear meshing quality |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910265785.8A CN109977579B (en) | 2019-04-03 | 2019-04-03 | Machine tool machining parameter optimization method for improving hypoid gear meshing quality |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN109977579A true CN109977579A (en) | 2019-07-05 |
| CN109977579B CN109977579B (en) | 2022-09-13 |
Family
ID=67082680
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910265785.8A Active CN109977579B (en) | 2019-04-03 | 2019-04-03 | Machine tool machining parameter optimization method for improving hypoid gear meshing quality |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109977579B (en) |
Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112859754A (en) * | 2019-11-28 | 2021-05-28 | 智能云科信息科技有限公司 | Machine tool machining control method, machine tool machining control device, storage medium, edge device and server |
| CN114492118A (en) * | 2022-01-10 | 2022-05-13 | 安徽农业大学 | Method for adjusting machining parameters of hypoid gear of tractor main reducer |
Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20110162473A1 (en) * | 2008-07-18 | 2011-07-07 | Kabushiki Kaisha Toyota Chuo Kenkyusho | Hypoid gear design method and hypoid gear |
| CN106369139A (en) * | 2016-09-23 | 2017-02-01 | 清华大学 | Method for obtaining machining parameters of hypoid gear meeting high-order transmission error |
| CN107480317A (en) * | 2017-06-09 | 2017-12-15 | 合肥工业大学 | A kind of method for improving gear hobbing process precision |
| US20180003283A1 (en) * | 2016-05-31 | 2018-01-04 | Barry James | Planetary Gearset |
| JP2018025462A (en) * | 2016-08-10 | 2018-02-15 | 住友重機械工業株式会社 | Engagement state estimation method of geer device and program |
| CN108723509A (en) * | 2018-05-29 | 2018-11-02 | 合肥工业大学 | A kind of top gem of a girdle-pendant wheel grinding method applied to numerical control internal honing wheel strength gear honing |
| CN109343466A (en) * | 2018-09-04 | 2019-02-15 | 中南大学 | The mixing of spiral bevel gear shape Combined process parameter demodulates modification method |
-
2019
- 2019-04-03 CN CN201910265785.8A patent/CN109977579B/en active Active
Patent Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20110162473A1 (en) * | 2008-07-18 | 2011-07-07 | Kabushiki Kaisha Toyota Chuo Kenkyusho | Hypoid gear design method and hypoid gear |
| US20180003283A1 (en) * | 2016-05-31 | 2018-01-04 | Barry James | Planetary Gearset |
| JP2018025462A (en) * | 2016-08-10 | 2018-02-15 | 住友重機械工業株式会社 | Engagement state estimation method of geer device and program |
| CN106369139A (en) * | 2016-09-23 | 2017-02-01 | 清华大学 | Method for obtaining machining parameters of hypoid gear meeting high-order transmission error |
| CN107480317A (en) * | 2017-06-09 | 2017-12-15 | 合肥工业大学 | A kind of method for improving gear hobbing process precision |
| CN108723509A (en) * | 2018-05-29 | 2018-11-02 | 合肥工业大学 | A kind of top gem of a girdle-pendant wheel grinding method applied to numerical control internal honing wheel strength gear honing |
| CN109343466A (en) * | 2018-09-04 | 2019-02-15 | 中南大学 | The mixing of spiral bevel gear shape Combined process parameter demodulates modification method |
Non-Patent Citations (2)
| Title |
|---|
| 曹雪梅等: "弧齿锥齿轮小轮加工参数的分析与设计", 《中国机械工程》 * |
| 王星等: "刀倾全展成准双曲面齿轮的切齿设计", 《哈尔滨工业大学学报》 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112859754A (en) * | 2019-11-28 | 2021-05-28 | 智能云科信息科技有限公司 | Machine tool machining control method, machine tool machining control device, storage medium, edge device and server |
| CN114492118A (en) * | 2022-01-10 | 2022-05-13 | 安徽农业大学 | Method for adjusting machining parameters of hypoid gear of tractor main reducer |
| CN114492118B (en) * | 2022-01-10 | 2024-04-09 | 安徽农业大学 | Method for adjusting processing parameters of hypoid gear of main speed reducer of tractor |
Also Published As
| Publication number | Publication date |
|---|---|
| CN109977579B (en) | 2022-09-13 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN109977579A (en) | Improve the Machine-settings optimization method of hypoid gear meshing quality | |
| CN101774048B (en) | Bevel gear machining method | |
| CN105261065B (en) | A kind of blade part front and rear edge profile towards adaptability processing redesigns method | |
| JP4376938B2 (en) | Cornu helical gear | |
| CN106707969B (en) | A kind of three-dimensional class cycloid polishing locus generation method along central axis feeding | |
| CN109993464B (en) | Machining parameter optimization method for reducing mounting error sensitivity of hypoid gear | |
| CN110276138B (en) | Digitized evaluation method for shapes of front edge and rear edge of blade of aero-engine | |
| CN106369139A (en) | Method for obtaining machining parameters of hypoid gear meeting high-order transmission error | |
| CN106624134B (en) | A kind of involute spline broach cutter tooth designing and manufacturing method | |
| CN103692025A (en) | Machining method of cycloidal-tooth bevel gear | |
| CN107037779B (en) | Free form surface NC process tool track optimizing method under non-homogeneous tolerance | |
| CN112989517B (en) | Method for solving track of grinding rear cutter face of ball head by adopting parallel grinding wheel | |
| CN103207589A (en) | Wide-row hobbing and back gouging method for ring-shaped tool | |
| CN111950100A (en) | Cutting load space reconstruction method of fir-shaped tooth profile finish broach | |
| CN108120596A (en) | A kind of spiral bevel gear root interference method of inspection | |
| CN110508879A (en) | A kind of the numerical control turning overlap and chamfering method of toroid enveloping worm with involute helicoid generatrix | |
| CN110134071A (en) | A kind of ring cutting knife rail generating method based on image procossing milled under process constraints for covering mirror image | |
| US11788251B2 (en) | Adapter board bolted joint surface | |
| CN111597741B (en) | Wing profile optimization design method under bionic crab glide posture based on improved Hicks-henne algorithm | |
| CN115239792A (en) | Representative profile generation method for rail grinding | |
| CN111889811B (en) | Slotting cutter with equal cutting rake angles and construction method thereof | |
| CN109284544B (en) | Helical bevel gear shape cooperative manufacturing parameter driving mixing reverse regulation and control method | |
| EP2233996A2 (en) | System and method for manufacturing an in-process part | |
| CN111975131B (en) | Gear end shaping method for processing spiral bevel gear based on non-generating method | |
| CN110908333A (en) | Blade allowance-variable cutter position compensation method for integral blade disc type part |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |