BEVEL GEAR CUTTER AND BLADE CONSOLIDATION
20200198036 ยท 2020-06-25
Inventors
- Hermann J. Stadtfeld (Webster, NY)
- Anthony J. Norselli (Hilton, NY, US)
- Markus J. Bolze (Pittsford, NY, US)
Cpc classification
B23F1/00
PERFORMING OPERATIONS; TRANSPORTING
B23F9/105
PERFORMING OPERATIONS; TRANSPORTING
B23F21/223
PERFORMING OPERATIONS; TRANSPORTING
International classification
B23F21/22
PERFORMING OPERATIONS; TRANSPORTING
B23F17/00
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A method directed to gear cutting tools and gear cutter job consolidation resulting in a single cutter capable of cutting a plurality of different members of a part family. The method comprises a multi-step approach comprising a first step of defining a temporary master. A second step creates a virtual master which is especially well-suited for accommodating the requirements of the jobs in the consolidation variety. A third step determines cutting depths and optimized machine settings for all consolidation jobs using the virtual master.
Claims
1. A method of manufacturing a gear cutting tool comprising one or more cutting blades with said cutting blades being configured whereby said gear cutting tool is operable for machining a plurality of gear design jobs for producing gears having different tooth geometries, said method comprising: defining a temporary master cutter, defining a virtual master cutter representing a consolidation of the requirements of the jobs in said plurality of gear design jobs, providing data representative of each of said plurality of gear design jobs, said data being dependent upon said virtual master cutter, machining said one or more cutting blades of said gear cutting tool based on said data whereby said cutting tool is capable of producing said plurality of gear design jobs, said machined one or more cutting blades having a different blade geometry than cutting blades of specific individual cutting tools that would be necessary to separately cut each respective member of said plurality of gear design jobs.
2. The method of claim 1 wherein said temporary master cutter is defined by one of the jobs of said plurality of gear design jobs.
3. The method of claim 2 wherein said one of the jobs is the job that cuts the smallest root slot width of all of said plurality of gear design jobs.
4. The method of claim 1 wherein said plurality of gear design jobs are pinions.
5. The method of claim 1 wherein said plurality of gear design jobs are ring gears.
6. The method of claim 1 wherein a temporary master cutter for a pinion is different than a temporary master cutter for a ring gear.
7. The method of claim 1 wherein said virtual master cutter comprises parameters different than specific individual cutting tools that would be necessary to separately cut each respective member of said plurality of gear design jobs.
8. A gear cutting tool having one or more cutting blades manufactured by the method of claim 1.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0016]
[0017]
[0018]
[0019]
[0020]
[0021]
[0022]
[0023]
[0024]
[0025]
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[0027]
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
[0028] The terms invention, the invention, and the present invention used in this specification are intended to refer broadly to all of the subject matter of this specification and any patent claims below. Statements containing these terms should not be understood to limit the subject matter described herein or to limit the meaning or scope of any patent claims below. Furthermore, this specification does not seek to describe or limit the subject matter covered by any claims in any particular part, paragraph, statement or drawing of the application. The subject matter should be understood by reference to the entire specification, all drawings and any claim below. The invention is capable of other constructions and of being practiced or being carried out in various ways. Also, it is understood that the phraseology and terminology used herein is for the purposes of description and should not be regarded as limiting.
[0029] The details of the invention will now be discussed with reference to the accompanying drawings which illustrate the invention by way of example only. In the drawings, similar features or components will be referred to by like reference numbers.
[0030] The use of including, having and comprising and variations thereof herein is meant to encompass the items listed thereafter and equivalents thereof as well as additional items. The use of letters or numbers to identify elements of a method or process is simply for identification and is not meant to indicate that the elements should be performed in a particular order.
[0031] Although references may be made below to directions such as upper, lower, upward, downward, rearward, bottom, top, front, rear, etc., in describing the drawings, these references are made relative to the drawings (as normally viewed) for convenience. These directions are not intended to be taken literally or limit the present invention in any form. In addition, terms such as first, second, third, etc., are used to herein for purposes of description and are not intended to indicate or imply importance or significance.
[0032] The inventive method of gear cutter job consolidation comprises a multi-step approach comprising a first step of defining a temporary master. A second step creates a virtual master which is especially well-suited for accommodating the requirements of the jobs in the consolidation variety. A third step determines cutting depths and optimized machine settings for all consolidation jobs using the virtual master.
[0033]
[0034] At the time of conducting the design calculation of one particular gearset, the calculation algorithms and procedures utilized have no knowledge of other gearset designs which are similar and might even belong to one part family. Other gearset designs might have been created in the past or are planned to be conducted in the future. However, at the time of one individual gearset design and optimization, it is impossible for the gear engineer and for the gear computation software to relate this individual design to other past and future designs in order to communize the cutting blades of the new design with one or more of the other designs.
[0035]
[0036]
[0037] In the first step, all jobs of the consolidation variety are analyzed and a first temporary master job (cutter) is defined as one of the existing jobs of the consolidation variety, preferably the job that cuts the smallest root slot width of all jobs observed. Then the cutters of all other jobs are compared more specifically to the temporary master. In particular, with reference to
[0038] The skilled artisan is well aware that the relationship between a workpiece and the theoretical generating gear can be defined by a group of parameters known as basic settings. These basic settings communicate a sense of size and proportion regarding the theoretical generating gear and the workpiece and provide a common starting point for gear design thus unifying design procedures among many models of machines. The basic settings totally describe the relative positioning between the tool and workpiece at any instant. For example, see Goldrich, CNC Generation of Spiral Bevel and Hypoid Gears: Theory and Practice, The Gleason Works, Rochester, N.Y., 1990.
[0039] The basic settings of each job, except the temporary master job, are modified in order to eliminate the tooth thickness variation. This is preferably accomplished by axial cutter head vector shifts (principle shown in
[0040] The second step of the inventive consolidation method creates a virtual master job. The virtual master job utilizes the same cutter head type as the jobs of the consolidation variety but uses cutter head and blade geometry parameters which are the result of an analysis of all jobs considered for the consolidation. Such a virtual cutter may be different than each of the consolidation jobs with all of its parameters except the number of blade groups. Due to the fact that the virtual master is not bound to the cutter and blade parameters of one particular consolidation job, it is possible to design the virtual cutter with its virtual blades such that the range of variation between each parameter of the virtual cutter and each cutter of the consolidation jobs is minimized.
[0041] The third step of the inventive cutter consolidation applies the virtual cutter head to all jobs of the consolidation variety and determines new machine settings for each job which assure the correct tooth thickness and a minimized pressure angle deviation compared to the original job and considering the interplay between pinion and gear.
[0042] The inventive process of cutter head consolidation is based on several key elements which make the virtual cutter head in its consolidation success a significant advance in bevel gear cutter head technology. The key elements include: [0043] First parameter analysis and selection of the temporary master. [0044] Communize all cutter reference heights (linked to the master blade dedendum). [0045] Calculate the required amounts of axial cutter correction to achieve correct tooth thicknesses in preparation of the virtual cutter definition. [0046] Virtual cutter blade pressure angles of pinion inside and outside blades as well as gear inside and outside blades average the respective angles on the respective blades of all consolidation cutters. An alternative possibility is to use the blade angles of the cutter which is the closest to average. [0047] Blade radii of pinion inside and outside blades are calculated from the blade radii of the consolidation variety by altering them in order to archive semi-balanced amounts of deeper or shallower cutting. Semi-balanced means in this connection that deeper cutting of 80% and shallower cutting of 20% of the variation range is optimal for roll conditions and strength:
Rw.sub.1Cons=Rw.sub.1WPminD.sub.Slot/2*F.sub.spp(1)
Rw.sub.2Cons=Rw.sub.2WPmin+D.sub.Slot/2*F.sub.spp(2) [0048] where: [0049] Rw.sub.1Cons . . . Radius of inside blade of consolidated cutter [0050] Rw.sub.2Cons . . . Radius of outside blade of consolidated cutter [0051] Rw.sub.1WPmin . . . Radius of inside blade of job with smallest pinion slot width [0052] Rw.sub.2WPmin . . . Radius of outside blade of job with smallest pinion slot width [0053] D.sub.Slot . . . Difference between the widest and the smallest slot with [0054] F.sub.spp . . . Factor for semi-balancing, e.g. 0.80 [0055] If blade pressure angles from one particular cutter are used for the virtual master, then the blade angles of the pinion and gear have to come from the same job, even though none of the other cutter data of this particular job are used. [0056] The symmetry vector between the outside and inside blades of each individual member is compared to the temporary master job and machine setting corrections are used to minimize the difference in tooth profile of the original jobs and the consolidated version of those jobs.
[0057] If it is required to use an effective point radius which results in a larger (or smaller) flank lead curvature for example on certain gear members, then the consolidation strategy considers that the mating pinion will also receive a larger (or smaller) lead curvature in order to maintain the original Ease-Off and tooth contact pattern within the limits of the physical possibilities.
[0058]
[0067] The calculation program begins to read the basic setting data files of the designated jobs and stores all required key data in data arrays. The first calculation step 33 is the computation of the slot width at the toe of each pinion and ring gear of the consolidation variety. The smallest slot width will determine which cutter of the consolidation variety can be used in order to cut all consolidation jobs without blade interference and tooth surface mutilation.
[0068] The next calculation step 34 is determining the average values and the maximal and minimal values of: [0069] Spiral Angles [0070] Whole Depths [0071] Face Widths [0072] Blade Pressure Angles [0073] Slot Widths [0074] Cutter Radii Blade Dedendums [0075] Blade Offsets [0076] Blade Spacing Angles [0077] Blade Edge Radii [0078] Blade Curvatures [0079] Protuberances
[0080] If the range between minimum and maximum values is larger than recommended for a consolidation, the program part 35 prompts a warning. If the range of values is acceptable, then the program defines in 36 the temporary master job as the pinion and ring gear job with the smallest slot width at the toe or uses the temporary master jobs which are forced by the input.
[0081] The next step 38 is the calculation of the cutter radii, blade offsets and blade pressure angles. In case of an input forced pinion and gear master, cutter radii, blade offsets and pressure angles from the selected masters are used without any calculation.
[0082] The following section 39 in the consolidation procedure defines the blade edge radii, the main cutting edge curvature radii and the protuberance parameters for the consolidated pinion and ring gear cutter head. Certain features of the temporary master job are changed to the average values of all jobs from the consolidation variety (if allowed by input) or adjusted in relation to the maximal value by a chosen factor. If, for example, the smallest edge radius is 0.2 mm and the largest edge radius is 1.0 mm then the average value of 0.6 mm is used for the temporary master job in case the edge radius switch is set to 0. In case the edge radius switch is set to 1, then the value of the job picked as temporary master is maintained for the master cutter. If the edge radius switch is set to 2, then an additional factor can be entered (e.g. 0.75) which will be multiplied with the largest edge radius, resulting in edge radii which are 75% of the maximum value of the consolidation variety.
[0083] If, for example, the protuberance angles of the consolidation variety is between 2 degrees and 4 degrees and the protuberance depth is between 1 mm and 3 mm then the user can choose the average values of 3 degrees protuberance angle and 2 mm protuberance depth (switch set to 0), or set the switch to 1 which maintains the values of the job picked as temporary master. If the switch is set to 2, then an additional factor can be entered (e.g. 0.6) which will be multiplied with the largest protuberance angle and depth, resulting in a protuberance angle of 2.4 degrees and a protuberance depth of 1.8 mm (60% of the maximum values).
[0084] One key part of the consolidation is the calculation of the axial cutter position of each individual job 40 in order to accommodate the different blade reference height (blade dedendum) of the temporary master cutter and to assure cutting of the correct tooth thickness. First in 40, the dedendum difference between the blades of the individual cutter and the blades of the temporary master cutter is calculated as axial cutter correction value DH1.sub.j:
DH1.sub.j=[(HF.sub.2Cons+HF.sub.1Cons)(HF.sub.2-j+HF.sub.1-j)]/2(3) [0085] Where: [0086] DH1.sub.j . . . Individual blade dedendum correction [0087] HF.sub.1Cons . . . Blade dedendum of inside blade of consolidated cutter [0088] HF.sub.2Cons . . . Blade dedendum of outside blade of consolidated cutter [0089] HF.sub.1-i . . . Blade dedendum of inside blade of individual consolidation job [0090] HF.sub.2-i . . . Blade dedendum of outside blade of individual consolidation job
[0091] In a second step in 40, the inventive method compares the blades in the temporary master cutter at the reference height 56 with the blades of the individual job (at the same reference height 78 equal 79). The radial differences between the blades of the individual jobs and the consolidated cutter (
DH2.sub.j=[(R.sub.W2ConsR.sub.W1Cons)(R.sub.W2-jR.sub.W1-j)]/[tan(.sub.2Cons)tan(.sub.1Cons)](4) [0092] Where: [0093] DH2.sub.j . . . Individual blade point radius correction [0094] Rw.sub.1Cons . . . Consolidated inside blade radius [0095] Rw.sub.2Cons . . . Consolidated outside blade radius [0096] .sub.Cons . . . Inside pressure angle of consolidated blade [0097] .sub.2Cons . . . Outside pressure angle of consolidated blade
[0098] The third element of tooth thickness correction in 40 results from the blade spacing differences .sub..sub.
Ne=.sub..sub.
[0102] An equivalent axial cutter correction DH3.sub.i to eliminate the blade position related tooth thickness error Ne is calculated with:
DH3.sub.j=Ne/[tan(.sub.2Cons)+tan(.sub.1Cons)](6) [0103] Where: [0104] DH3.sub.j . . . Individual blade spacing correction
[0105] In order to achieve correct tooth thicknesses an axial cutter head correction of DH.sub.j is calculated as follows:
DH.sub.j=DH1.sub.j+DH2.sub.j+DH3.sub.j(7)
[0106] The temporary master cutter head is now axially shifted in 41 for each of the consolidation jobs j by the amount DH.sub.j along its axis vector. A simplified graphical explanation of the axial cutter and blade profile move is given in
[0107] At this point the consolidation procedure splits in 42 in either of the two possibilities:
[0108] 1. In case of a forced master (or virtual master and second run) the program writes in 43 all basic settings and cutter definitions and archives in step 46 each consolidated JOBj under the new name JOBjC.
[0109] 2. In case the virtual master is chosen (and first run) the program continues at 42 in a subroutine 44 which is devoted to create the ideal virtual master.
[0110] For the inventive virtual master, cutter radius and blade dedendums are based on the pinion and gear geometry with the smallest root slot with at the toe. Cutter radius and blade dedendums are now modified using the precise radius values at the individual blade reference points, used in equation (4). At this point the precise deeper cutting amounts are calculated and the blade point radii and blade dedendums are defined. The balance between deeper cutting and shallower cutting is calculated from the user input. If the user enters 20% of shallow cutting is allowed, the procedure arranges the range of jobs between 20% shallower cutting and 80% deeper cutting. The pressure angle of each blade kind (pinion inside and outside blade, gear inside and outside blade) are calculated as an average of all individual blade kinds (e.g. virtual pinion master inside blade pressure angle is the average of all pinion inside blades pressure angles).
[0111] After the virtual master has been defined in 45, the consolidation process continues at 37 where the process repeats steps 38, 39, 40, and 41. In contrast to the first run based on the temporary master, all calculations are now performed with the virtual master which will lead to a significant improvement of the consolidation success. The tests with the inventive consolidation method have shown that many job varieties which were not possible to successfully consolidate in the past can now be consolidated without sacrifice of the physical properties of the individual jobs. The process passes now through 42 to 43 and 46 and concludes the consolidation task.
[0112]
[0113] For the depth adjustment calculation (value DH3.sub.j) the blade spacing of the consolidated cutter 71 has to be determined at a distance from the tip which is equal to the blade dedendum 78. Section 59 shows the distance 79 from the tip of the consolidated cutter which is equal to the blade dedendum 78. F.sub.d=S.sub.Cons S.sub.j, (with S=R*, see also equation (5)) is used to calculate a depth correction which will compensate the tooth thickness discrepancy, caused by differences in blade spacing between individual cutter (and blades) and the consolidated master cutter with its blades. Sections 50 and 59 also show that it is possible to use different cutter head and blade geometries within the consolidation variety, provided that certain basics for example the number of cutter starts and the hand of the cutter heads are equal among each other.
[0114]
[0115]
[0116] Profile 60 and profile 64 are congruent and the required axial cutter correction 67 is equal to zero. Profile 65 is drawn in profile 61 of another job from the consolidation variety. In order to match both profiles, an axial cutter head correction 68 is required. The cutter correction 68 will cut a shallow slot depth of the individual job with the profile 61. Profile 66 drawn inside of profile 62 requires an axial cutter head correction 69. Correction 69 produces a deeper cut slot of the individual job with profile 62.
[0117]
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[0139]
[0140]
[0141] Thus, the inventive method provides for a single consolidated cutter for cutting all members of a part family that were considered in the design of the consolidated cutter (e.g. Jobs 1-8 of
[0142] With the information from the blade grinding summary after consolidation (e.g.
[0143] With each job to be cut with the consolidated cutter, the respective consolidated cutting summary settings are input into a gear cutting machine (e.g. U.S. Pat. No. 6,712,566, commercially available from The Gleason Works) thereby resulting in a cut part that is identical to, or nearly identical to, the same part cut with a non-consolidated cutter designed and dedicated to cut only that particular part. The comparison arrows of
[0144]
[0145] While the invention has been described with reference to preferred embodiments it is to be understood that the invention is not limited to the particulars thereof. The present invention is intended to include modifications which would be apparent to those skilled in the art to which the subject matter pertains.