CN106256489B - Inside and outside spherical surface method for grinding - Google Patents
Inside and outside spherical surface method for grinding Download PDFInfo
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- CN106256489B CN106256489B CN201610872343.6A CN201610872343A CN106256489B CN 106256489 B CN106256489 B CN 106256489B CN 201610872343 A CN201610872343 A CN 201610872343A CN 106256489 B CN106256489 B CN 106256489B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B1/00—Processes of grinding or polishing; Use of auxiliary equipment in connection with such processes
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B11/00—Machines or devices designed for grinding spherical surfaces or parts of spherical surfaces on work; Accessories therefor
- B24B11/02—Machines or devices designed for grinding spherical surfaces or parts of spherical surfaces on work; Accessories therefor for grinding balls
- B24B11/04—Machines or devices designed for grinding spherical surfaces or parts of spherical surfaces on work; Accessories therefor for grinding balls involving grinding wheels
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- G—PHYSICS
- G16—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS
- G16Z—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR SPECIFIC APPLICATION FIELDS, NOT OTHERWISE PROVIDED FOR
- G16Z99/00—Subject matter not provided for in other main groups of this subclass
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Grinding And Polishing Of Tertiary Curved Surfaces And Surfaces With Complex Shapes (AREA)
- Grinding Of Cylindrical And Plane Surfaces (AREA)
Abstract
The invention discloses a kind of inside and outside spherical surface method for grinding, by obtaining the ball section chord length of workpiece to be ground and the grinding machine of spherical radius and selection processing workpiece to be ground；According to the ball section chord length and spherical radius of acquisition, the corresponding center of circle half-angle of ball section chord length is calculated；According to the grinding machine of selection and calculated center of circle half-angle, the grinding wheel diameter of head the frame switching angle and abrasive grinding wheel of grinding machine is determined；According to determining head frame switching angle and grinding wheel diameter, spherical grinding is carried out to workpiece to be ground using the grinding machine of selection.The present invention is changed previous generating and uses the calculation being overlapped based on grinding wheel center line with spherical arc center line to be processed, the switching angle obtained when generating processing by old calculation and the limitation for selecting grinding wheel diameter are overcome, processing can be completed using general-purpose grinder；Operate convenient, intuitive, angle adjustment is simple, and grinding wheel is selected and finishing is simple, and need not be by special grinding wheel trimming device；It is not required to design and uses special fixture.
Description
Technical field
The present invention relates to field of machining, particularly, are related to a kind of inside and outside spherical surface method for grinding.
Background technique
There are three types of methods for ectosphere in existing grinding: one, the method for forming: finishing forming grinding wheel is processed, low efficiency, zero by mill
Part is easily burnt, and it is low that dresser adjusts accuracy rate, it is difficult to guarantee spherical surface dimension precision requirement, but application is wide；Two, generating:
Or need that special purpose machine tool is processed or existing calculation specific aim causes greatly application little；Three, method of loci: auxiliary is set
The manufacture of standby and Fixture Design is many and diverse, and specific aim is big, practical without application.Wherein, in grinder textbook or Grinding Technology books
The generating of introduction, it is big according to its calculation formula and processing method adjustment lathe and the finishing equal limitation of grinding wheel, cause to process ball
Face circular arc size is limited to, and application is poor.Existing three kinds are ground in the method for interior ectosphere, are required to using specific grinding machine
It is processed, temporarily without machining high-precision the inside and outside spherical surface more general specific method and Simple calculating formula on general-purpose grinder.
Therefore, how on general-purpose grinder machining high-precision inside and outside spherical surface, be a technical problem urgently to be resolved.
Summary of the invention
The present invention provides a kind of inside and outside spherical surface method for grinding, to solve in existing grinding ectosphere method in general-purpose grinder
On can not machining high-precision inside and outside spherical surface the technical issues of.
The technical solution adopted by the invention is as follows:
According to an aspect of the present invention, a kind of inside and outside spherical surface method for grinding is provided, for Internal Spherical Surface and/or outside
The workpiece to be ground of spherical surface carries out spherical grinding processing, comprising steps of
Obtain the ball section chord length of workpiece to be ground and the grinding machine of spherical radius and selection processing workpiece to be ground, wherein
Grinding machine is one kind of internal grinder, peripheral milling and cutter and tool grinding machine；
According to the ball section chord length and spherical radius of acquisition, the corresponding center of circle half-angle of ball section chord length is calculated；
According to the grinding machine of selection and calculated center of circle half-angle, the sand of head the frame switching angle and abrasive grinding wheel of grinding machine is determined
Wheel diameter；
According to determining head frame switching angle and grinding wheel diameter, spherical surface mill is carried out to workpiece to be ground using the grinding machine of selection
It cuts.
Further, according to the ball section chord length and spherical radius of acquisition, the corresponding center of circle of ball section chord length half is calculated
The step of angle includes:
If the ball section chord length obtained is ball section maximum chord length, according to the ball section maximum chord length and spherical surface of acquisition
Radius calculates the corresponding center of circle half-angle of ball section maximum chord length.
Further, the corresponding center of circle half-angle of calculated ball section maximum chord length are as follows:
θ 1=sin-1(L/2R)
Wherein, L is ball section maximum chord length, and R is spherical radius, θ1For the corresponding center of circle half-angle of ball section maximum chord length.
Further, according to the ball section chord length and spherical radius of acquisition, the corresponding center of circle of ball section chord length half is calculated
The step of angle includes:
If the ball section chord length obtained is ball section minimum chord length, according to the ball section minimum chord length and spherical surface of acquisition
Radius calculates the corresponding center of circle half-angle of ball section minimum chord length.
Further, the corresponding center of circle half-angle of calculated ball section minimum chord length are as follows:
θ 2=sin-1(B/2R)
Wherein, B is ball section minimum chord length, and R is spherical radius, θ2For the corresponding center of circle half-angle of ball section minimum chord length.
Further, according to the grinding machine of selection and calculated center of circle half-angle, the head frame switching angle and mill of grinding machine are determined
The step of cutting the grinding wheel diameter of grinding wheel include:
If the grinding machine selected is internal grinder, the head frame switching angle of the internal grinder set is obtained；
According to head frame switching angle and calculated center of circle half-angle, grinding wheel diameter is calculated.
Further, if center of circle half-angle is the corresponding center of circle half-angle of ball section maximum chord length, the minimum value of grinding wheel diameter
Are as follows:
D1=2R × Sin (θ1-α)
Wherein, θ1For the corresponding center of circle half-angle of ball section maximum chord length, R is spherical radius, and α is head frame switching angle, d1
For the minimum value of grinding wheel diameter.
Further, if center of circle half-angle is the corresponding center of circle half-angle of ball section minimum chord length, the maximum value of grinding wheel diameter
Are as follows:
D2=2R × Sin (θ 2+ α)
Wherein, θ2For the corresponding center of circle half-angle of ball section minimum chord length, R is spherical radius, and α is head frame switching angle, d2
For the maximum value of grinding wheel diameter.
Further, according to the grinding machine of selection and calculated center of circle half-angle, the head frame switching angle and mill of grinding machine are determined
The step of cutting the grinding wheel diameter of grinding wheel include:
If the grinding machine selected is peripheral milling or cutter and tool grinding machine, the grinding wheel diameter of peripheral milling or cutter and tool grinding machine is obtained；
According to grinding wheel diameter and calculated center of circle half-angle, frame switching angle of lifting one's head is calculated.
Further, according to grinding wheel diameter and calculated center of circle half-angle, calculating lift one's head frame switching angle the step of include:
According to the spherical surface maximum cross-section diameter of grinding wheel diameter and workpiece to be ground, the difference of center of circle half-angle, the center of circle are calculated
The difference of half-angle is head frame switching angle.
The invention has the following advantages:
Inside and outside spherical surface method for grinding provided by the invention, according to the ball section chord length of workpiece to be ground and spherical radius come really
The grinding wheel diameter for determining head the frame switching angle and abrasive grinding wheel of grinding machine, makes the axial line of abrasive grinding wheel and the axis of workpiece to be ground
The centre of sphere is intersected at, previous generating is changed and uses the calculating side being overlapped based on grinding wheel center line with sphere centre line to be processed
Formula, limitation when overcoming generating processing by the switching angle and selection grinding wheel diameter that are obtained, as long as grinding wheel of the invention
Diameter is tangential on the spherical surface of workpiece to be ground, includes spherical surface to be ground.Therefore, using common internal grinder, peripheral milling
Or processing can be completed in cutter and tool grinding machine.Inside and outside spherical surface is ground using this method, operation is convenient, intuitive, and angle adjustment is simple, grinding wheel
It selects and finishing is simple, and need not be by special grinding wheel trimming device；Design is not required to using special fixture, improves production and processing
Practicability and operability.
Other than objects, features and advantages described above, there are also other objects, features and advantages by the present invention.
Below with reference to figure, the present invention is described in further detail.
Detailed description of the invention
The attached drawing constituted part of this application is used to provide further understanding of the present invention, schematic reality of the invention
It applies example and its explanation is used to explain the present invention, do not constitute improper limitations of the present invention.In the accompanying drawings:
Fig. 1 is the flow diagram of inside and outside spherical surface method for grinding first embodiment of the present invention；
Fig. 2 is the flow diagram of inside and outside spherical surface method for grinding second embodiment of the present invention；
The structural schematic diagram of first embodiment when Fig. 3 is using inside and outside spherical surface method for grinding grinding exterior sphere of the present invention；
Fig. 4 is the structural schematic diagram of first embodiment when being ground Internal Spherical Surface using inside and outside spherical surface method for grinding of the present invention；
Fig. 5 is the flow diagram of inside and outside spherical surface method for grinding 3rd embodiment of the present invention；
The structural schematic diagram of second embodiment when Fig. 6 is using inside and outside spherical surface method for grinding grinding exterior sphere of the present invention；
Fig. 7 is the structural schematic diagram of second embodiment when being ground Internal Spherical Surface using inside and outside spherical surface method for grinding of the present invention；
Fig. 8 is the grinding machine and calculated center of circle half-angle according to selection in Fig. 1, determine grinding machine head frame switching angle and
The refinement flow diagram of the first embodiment of the step of grinding wheel diameter of abrasive grinding wheel；
Fig. 9 is to determine the head frame switching angle and mill of grinding machine according to the grinding machine of selection and calculated center of circle half-angle in Fig. 1
The refinement flow diagram of the second embodiment for the step of cutting the grinding wheel diameter of grinding wheel；
Drawing reference numeral explanation:
10, workpiece to be ground；20, abrasive grinding wheel.
Specific embodiment
It should be noted that in the absence of conflict, the features in the embodiments and the embodiments of the present application can phase
Mutually combination.The present invention will be described in detail below with reference to the accompanying drawings and embodiments.
Referring to Fig.1, the preferred embodiment of the present invention provides a kind of inside and outside spherical surface method for grinding, such as Fig. 3, Fig. 4, Fig. 6 and
Shown in Fig. 7, for carrying out spherical grinding processing, inside and outside spherical surface mill to the workpiece to be ground with Internal Spherical Surface and/or spherical outside surface
Cutting method comprising steps of
Step S100, the ball section chord length of workpiece to be ground and the mill of spherical radius and selection processing workpiece to be ground are obtained
Bed, wherein grinding machine is one kind of internal grinder, peripheral milling and cutter and tool grinding machine.
According to the processing drawing of workpiece to be ground, the ball section chord length and spherical radius R of workpiece 10 to be ground, and root are obtained
According to existing grinding machine type, selection is suitable for processing the grinding machine of workpiece to be ground, wherein the selection of grinding machine, can for internal grinder,
Peripheral milling or cutter and tool grinding machine.
Step S200, according to the ball section chord length and spherical radius of acquisition, the corresponding center of circle of ball section chord length half is calculated
Angle.
According to the ball section chord length and spherical radius of acquisition, the corresponding center of circle half-angle of ball section chord length is calculated.Wherein, ball
Section chord length includes ball section maximum chord length L and ball section minimum chord length B.
Step S300, according to the grinding machine of selection and calculated center of circle half-angle, the head frame switching angle and mill of grinding machine are determined
Cut the grinding wheel diameter of grinding wheel.
According to the grinding machine and calculated center of circle half-angle of the processing workpiece to be ground of selection, to determine the head frame switching of grinding machine
The grinding wheel diameter of angle and abrasive grinding wheel 20.If the grinding machine selected is internal grinder, workpiece 10 to be ground is mounted on three
It on pawl, chuck or magnetic suction disc, is beated with dial gauge centering, then sets the head frame switching angle of internal grinder, and root
According to the head frame switching angle of the internal grinder of setting, the grinding wheel diameter of abrasive grinding wheel 20 is calculated.If the grinding machine selected is outer circle
When mill or cutter and tool grinding machine, then can first selecting abrasive grinding wheel diameter 20, (grinding wheel diameter is greater than the sphere arc of workpiece to be ground, not
More than the sphere arc for interfering workpiece to be ground), circular diameter is cut according to selected grinding wheel diameter and spherical surface maximum and calculates circle
The difference at heart angle, as workhead pull shifting angle.
Step S400, according to determining head frame switching angle and grinding wheel diameter, using the grinding machine of selection to workpiece to be ground
Carry out spherical grinding.
Grinding machine is mounted on inner circle mill according to the head frame switching angle and grinding wheel diameter after determination, selected abrasive grinding wheel 20
On the bistrique of bed, abrasive grinding wheel 20 is trimmed to size calculated with diamond；Or after grinding wheel diameter has been modified, according to
Grinding wheel diameter and spherical diameter calculate the angle [alpha] of switching required for the workpiece mounting head frame of grinding machine；Transverse shifting grinding carriage,
The axial line of abrasive grinding wheel 20 and axis of workpiece is set to meet at the centre of sphere, travelling workpiece is ground close to grinding wheel.Specifically, it will be ground
Before 10 circular arc of workpiece to be ground when point, i.e. grinding exterior sphere, the leading edge of abrasive grinding wheel 20 is moved to wait grind the leading edge of grinding wheel 20
In the ball section maximum chord length of turning work piece 10；When being ground Internal Spherical Surface, the ball that the rear of abrasive grinding wheel moves to workpiece 10 to be ground is cut
In the maximum chord length of face, i.e., to knife success.Then workpiece to be ground is moved, spherical surface is carried out to workpiece to be ground using the grinding machine of selection
Grinding.
Inside and outside spherical surface method for grinding provided in this embodiment, according to the ball section chord length of workpiece to be ground and spherical radius come
The grinding wheel diameter for determining head the frame switching angle and abrasive grinding wheel of grinding machine, makes the axial line of abrasive grinding wheel and the axis of workpiece to be ground
Line intersects at the centre of sphere, changes previous generating and uses the calculating being overlapped based on grinding wheel center line with sphere centre line to be processed
Mode, limitation when overcoming generating processing by the switching angle and selection grinding wheel diameter that are obtained, as long as the present embodiment
Grinding wheel diameter is tangential on the spherical surface of workpiece to be ground, the spherical surface comprising workpiece to be ground.Because the change of calculation method, is pulled
Gyration and grinding wheel diameter selection are more flexible, and corresponding grinding machine selection is more convenient, use common internal grinder, peripheral milling or tool
Processing can be completed in grinding machine.Inside and outside spherical surface is ground using this method, operates convenient, intuitive, angle adjustment is simple, grinding wheel select and
Finishing is simple, and need not be by special grinding wheel trimming device；Design is not required to using special fixture, improves the practical of production and processing
Property and operability.
Preferably, as shown in Fig. 2, Fig. 2 is the flow diagram of inside and outside spherical surface method for grinding second embodiment of the present invention,
On the basis of first embodiment, step S200 includes:
It is maximum according to the ball section of acquisition step S210, if the ball section chord length obtained is ball section maximum chord length
Chord length and spherical radius calculate the corresponding center of circle half-angle of ball section maximum chord length.
As shown in Figure 3 and Figure 4, if when known ball section maximum chord length, ball is calculated by ball section maximum chord length and is cut
The corresponding center of circle half-angle of face maximum chord length are as follows:
θ1=sin-1(L/2R) (1)
Wherein, L is ball section maximum chord length, and R is spherical radius, θ1For the corresponding center of circle half-angle of ball section maximum chord length.
Preferably, as shown in figure 5, Fig. 5 is the flow diagram of inside and outside spherical surface method for grinding 3rd embodiment of the present invention,
On the basis of first embodiment, step S200 includes:
It is minimum according to the ball section of acquisition step S220, if the ball section chord length obtained is ball section minimum chord length
Chord length and spherical radius calculate the corresponding center of circle half-angle of ball section minimum chord length.
Preferably, as shown in Figure 6 and Figure 7, it if when known ball section minimum chord length, is calculated by ball section minimum chord length
The corresponding center of circle half-angle of ball section minimum chord length out are as follows:
θ2=sin-1(B/2R) (2)
Wherein, B is ball section minimum chord length, and R is spherical radius, θ2For the corresponding center of circle half-angle of ball section minimum chord length.
Inside and outside spherical surface method for grinding provided in this embodiment can be calculated by obtaining ball section maximum chord length wait grind
The center of circle half-angle of turning work piece then calculates lift one's head frame switching angle and grinding wheel diameter.Change the application of spherical grinding generating
Calculation formula is easily understood；It operates convenient, intuitive；Angle adjustment is simple；Grinding wheel is selected and finishing is simple, without by dedicated
Wheel dresser.
Preferably, as shown in figure 8, inside and outside spherical surface method for grinding provided in this embodiment, the step S300 include:
If grinding machine step S310, selected is internal grinder, the head frame switching angle of the internal grinder set is obtained
Degree.
The present embodiment is according to the grinding machine and calculated center of circle half-angle of the processing workpiece to be ground of selection, to determine grinding machine
The grinding wheel diameter of head frame switching angle and abrasive grinding wheel.If the grinding machine selected is internal grinder, workpiece to be ground is installed
It on three-jaw, chuck or magnetic suction disc, is beated with dial gauge centering, then sets the head frame switching angle of internal grinder,
And according to the head frame switching angle of the internal grinder of setting, the grinding wheel diameter of abrasive grinding wheel is calculated.
Step S320, according to head frame switching angle and calculated center of circle half-angle, grinding wheel diameter is calculated.
If center of circle half-angle is the corresponding center of circle half-angle of ball section maximum chord length, grinding wheel diameter are as follows:
D1=2R × Sin (θ1-α) (3)
Wherein, θ1For the corresponding center of circle half-angle of ball section maximum chord length, R is spherical radius, and α is head frame switching angle, d1
For the minimum value of grinding wheel diameter.
If center of circle half-angle is the corresponding center of circle half-angle of ball section minimum chord length, grinding wheel diameter are as follows:
D2=2R × Sin (θ2+α) (4)
Wherein, θ2For the corresponding center of circle half-angle of ball section minimum chord length, R is spherical radius, and α is head frame switching angle, d2
For the maximum value of grinding wheel diameter.
Inside and outside spherical surface method for grinding provided in this embodiment calculates mill according to the head frame switching angle of the grinding machine of setting
The grinding diameter for cutting grinding wheel changes the calculation formula of spherical grinding generating application, is easily understood；It operates convenient, intuitive；Angle
Degree adjustment is simple；Grinding wheel is selected and finishing is simple, without by special grinding wheel trimming device.
Preferably, as shown in figure 9, inside and outside spherical surface method for grinding provided in this embodiment, the step S300 include:
If grinding machine step S330, selected is peripheral milling or cutter and tool grinding machine, the grinding wheel of peripheral milling or cutter and tool grinding machine is obtained
Diameter.
The present embodiment is according to the grinding machine and calculated center of circle half-angle of the processing workpiece to be ground of selection, to determine grinding machine
The grinding wheel diameter of head frame switching angle and abrasive grinding wheel.If the grinding machine selected is peripheral milling or cutter and tool grinding machine, sand can be first selected
Wheel (grinding wheel diameter is greater than the sphere arc of workpiece to be ground, and is no more than the sphere arc for interfering workpiece to be ground), root
The difference that circular diameter calculates central angle is cut according to selected grinding wheel diameter and spherical surface maximum, as workhead pulls shifting angle.
Step S340, according to grinding wheel diameter and calculated center of circle half-angle, frame switching angle of lifting one's head is calculated.
According to the spherical surface maximum cross-section diameter of grinding wheel diameter and workpiece to be ground, and according to formula (3) or (4), pass through sand
Wheel diameter Extrapolation goes out the difference of center of circle half-angle, and the difference of center of circle half-angle is head frame switching angle, and by calculating
Central angle difference, select the head frame switching angle of grinding machine.
Inside and outside spherical surface method for grinding provided in this embodiment, according to the grinding diameter of abrasive grinding wheel, Extrapolation goes out grinding machine
Head frame switching angle.Universal cylindrical is more suitable for according to the processing method of abrasive grinding wheel diameter calculation grinding machine head stock frame switching angle
Grinding machine and cutter and tool grinding machine, plain grinding machine internal is because the switching angle of head frame limited (20 ° of maximum) is more suitable for first determining angle
Grinding wheel diameter is calculated again.Because of the change of calculation method, switching angle and grinding wheel diameter selection are more flexible, and corresponding grinding machine selection is more
It is convenient.The calculation for changing traditional spherical grinding generating application, is easily understood；It operates convenient, intuitive；Angle adjustment letter
It is single；Grinding wheel is selected and finishing is simple, without by special grinding wheel trimming device.
The foregoing is only a preferred embodiment of the present invention, is not intended to restrict the invention, for the skill of this field
For art personnel, the invention may be variously modified and varied.All within the spirits and principles of the present invention, made any to repair
Change, equivalent replacement, improvement etc., should all be included in the protection scope of the present invention.
Claims (8)
1. a kind of inside and outside spherical surface method for grinding, for carrying out spherical surface mill to the workpiece to be ground with Internal Spherical Surface and/or spherical outside surface
Cut processing, which is characterized in that the inside and outside spherical surface method for grinding comprising steps of
Obtain the ball section chord length of workpiece to be ground and the grinding machine of spherical radius and the selection processing workpiece to be ground, wherein
The grinding machine is one kind of internal grinder, peripheral milling and cutter and tool grinding machine；
According to the ball section chord length and the spherical radius of acquisition, the corresponding center of circle of ball section chord length half is calculated
Angle；
According to the grinding machine of selection and the calculated center of circle half-angle, the head frame switching angle or mill of the grinding machine are determined
The grinding wheel diameter of grinding wheel is cut, the grinding machine and the calculated center of circle half-angle according to selection determines the grinding machine
Head frame switching angle or abrasive grinding wheel grinding wheel diameter the step of include:
If the grinding machine selected is internal grinder, the head frame switching angle of the internal grinder set is obtained；Root
According to the head frame switching angle and the calculated center of circle half-angle, the grinding wheel diameter is calculated；
If the grinding machine selected is peripheral milling or cutter and tool grinding machine, the grinding wheel for obtaining the peripheral milling or the cutter and tool grinding machine is straight
Diameter；According to the grinding wheel diameter and the calculated center of circle half-angle, the head frame switching angle is calculated；
According to the determining head frame switching angle and the grinding wheel diameter, using the grinding machine of selection to the work to be ground
Part carries out spherical grinding.
2. inside and outside spherical surface method for grinding according to claim 1, which is characterized in that the ball section according to acquisition
Chord length and the spherical radius, the step of calculating ball section chord length corresponding center of circle half-angle include:
If the ball section chord length obtained is ball section maximum chord length, according to the ball section maximum chord length of acquisition and
Spherical radius calculates the corresponding center of circle half-angle of ball section maximum chord length.
3. inside and outside spherical surface method for grinding according to claim 2, which is characterized in that the calculated ball section is most
The corresponding center of circle half-angle of big chord length are as follows:
θ1=sin-1(L/2R)
Wherein, L is ball section maximum chord length, and R is spherical radius, θ1For the corresponding center of circle half-angle of ball section maximum chord length.
4. inside and outside spherical surface method for grinding according to claim 1, which is characterized in that the ball section according to acquisition
Chord length and the spherical radius, the step of calculating ball section chord length corresponding center of circle half-angle include:
If the ball section chord length obtained is ball section minimum chord length, according to the ball section minimum chord length of acquisition and
Spherical radius calculates the corresponding center of circle half-angle of the ball section minimum chord length.
5. inside and outside spherical surface method for grinding according to claim 4, which is characterized in that the calculated ball section is most
The corresponding center of circle half-angle of small chord length are as follows:
θ2=sin-1(B/2R)
Wherein, B is ball section minimum chord length, and R is spherical radius, θ2For the corresponding center of circle half-angle of ball section minimum chord length.
6. inside and outside spherical surface method for grinding according to claim 1, which is characterized in that if the center of circle half-angle be ball section most
The big corresponding center of circle half-angle of chord length, the then minimum value of the grinding wheel diameter are as follows:
D1=2R × Sin (θ1-α)
Wherein, θ1For the corresponding center of circle half-angle of ball section maximum chord length, R is spherical radius, and α is head frame switching angle, and d1 is grinding wheel
The minimum value of diameter.
7. inside and outside spherical surface method for grinding according to claim 1, which is characterized in that if the center of circle half-angle be ball section most
The corresponding center of circle half-angle of small chord length, the then maximum value of the grinding wheel diameter are as follows:
D2=2R × Sin (θ2+α)
Wherein, θ2For the corresponding center of circle half-angle of ball section minimum chord length, R is spherical radius, and α is head frame switching angle, and d2 is grinding wheel
The maximum value of diameter.
8. inside and outside spherical surface method for grinding according to claim 1, which is characterized in that described according to the grinding wheel diameter and meter
The center of circle half-angle calculated, the step of calculating the head frame switching angle include:
According to the spherical surface maximum cross-section diameter of the grinding wheel diameter and the workpiece to be ground, the difference of center of circle half-angle is calculated,
The difference of the center of circle half-angle is head frame switching angle.
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| CN2051754U (en) * | 1989-05-25 | 1990-01-24 | 滕满尚 | Slide-rule for spherical surface precision working |
| RU2405666C1 (en) * | 2009-04-22 | 2010-12-10 | Федеральное государственное унитарное предприятие "Обнинское научно-производственное предприятие "Технология" | Method of machining spherical surfaces |
| CN102152193A (en) * | 2011-02-25 | 2011-08-17 | 哈尔滨工业大学 | Method for grinding superhard mini-hemispheric coupling parts |
| CN105666258A (en) * | 2016-04-07 | 2016-06-15 | 中国南方航空工业(集团)有限公司 | Numerical control grinding machining method and device |
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