CN107738142B - A kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure - Google Patents
A kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure Download PDFInfo
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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
- B24B1/04—Processes of grinding or polishing; Use of auxiliary equipment in connection with such processes subjecting the grinding or polishing tools, the abrading or polishing medium or work to vibration, e.g. grinding with ultrasonic frequency
Abstract
The present invention proposes a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure, firstly, establishing the Movement Locus Equation of single abrasive particle the characteristics of according to being ground under the conditions of ultrasonic vibration；And the crackle system generated on dental zirconium oxide ceramics according to single abrasive particle, the length of the width and depth and surface crater that obtain transversal crack is calculated, according to result above, establishes and cheats model (M1 model) without dimple single under interference effect；It is based on interference mechanism, seeks the distance between center line of adjacent pit according to the random distribution feature of abrasive grain in the random distribution model of cutter end face secondly, establishing abrasive grain, to establish single dimple hole model (M2 model) under interference effect；Finally, carrying out supersonic vibration assistant grinding dental zirconium oxide ceramic test, the microstructure of different machining parameters lower surface is observed, and M2 model is verified, the results show that predicted value and test value matching are preferable.
Description
Technical field
The invention belongs to supersonic vibration assistant grinding processing technique fields, in particular to ultrasonic vibration grinding dental zirconium oxide
The prediction technique of ceramic micro-structure.
Background technique
In traditional mechanical engineering field, improve the friction and wear behavior between part mainly and improve the micro- texture in surface and
Improve the performance of lubricant.However it is very little a possibility that saliva in oral cavity restoration field, change human oral cavity.Therefore,
The improvement of the micro- texture of artificial tooth material surface will become the major measure for improving friction and wear behavior with optimization.In recent years, ceramic material
Material relies on excellent emulation aesthetic effect, chemical stability, biocompatibility and wearability etc., becomes the natural tooth hard tissue of substitution
One of main artificial tooth material, wherein dental zirconium oxide ceramics are selections most popular at present.The production of traditional full zirconium corona
Technique is by obtaining after carrying out double sintering again to pre-sintering porcelain block progress high-speed milling or after being ground, as shown in Figure 2.By tooth
The influence of briquetting pressure, powder granularity, the dimension pressure factors such as time and moisture content, is received during hat wall thickness dimension and double sintering
Shrinkage is difficult to control accurately.However the accuracy of manufacture of corona has not only seriously affected the wear comfort of patient while being to lead to it
The principal element of fracture failure.To solve the above-mentioned problems, most ideal and convenient and fast approach is by supersonic vibration assistant grinding
Technology introduces direct processing of the oral cavity restoration field realization to dental zirconium oxide ceramics.
Existing supersonic vibration assistant grinding technology has been introduced into oral cavity restoration field.Due to supersonic vibration assistant grinding skill
Art can not only change the manufacturing process (simultaneous manufacturing for realizing dental zirconium oxide ceramics) of traditional ceramics corona, while can shape
At the isotropic Surface Texture of large area, there is distinct contrast with the ditch dug with a plow shape texture that traditional normal diamond is ground.So
And it is unclear to the research of supersonic vibration assistant grinding dental zirconium oxide ceramic surface microstructure at present, it is still not clear super
The forming process of acoustic vibration assistant grinding dental zirconium oxide ceramic surface microstructure.
Summary of the invention
The purpose of the present invention is intended to predict a kind of supersonic vibration assistant grinding dental zirconium oxide ceramic surface microstructure, mentions
The prediction technique for having gone out a kind of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure can predict dental zirconium oxide ceramics material
Expect the surface microstructure during supersonic vibration assistant grinding.
The technical solution for realizing the aim of the invention is as follows:
A kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure, comprising the following steps:
Step (1): the Movement Locus Equation of single abrasive particle: the process of ultrasonic vibration grinding dental zirconium oxide ceramics is established
In, including three aspect forms of motion: the rotary motion of main shaft, the ultrasonic vibration of main shaft and cutter feed motion, according to
Three kinds of forms of motion, establish the Movement Locus Equation of single abrasive particle；
Step (2): it establishes the crackle system of single abrasive particle: according to fragile material brittle removal mechanism, obtaining single abrasive particle
Generate the width C of crackleLWith depth ChExpression formula acquires the axis of single abrasive particle according to the ratio of total axial force and total abrasive particle number
Xiang Li, and according to the performance of dental zirconium oxide ceramics, seek width CLWith depth ChExpression formula based on processing and vibration parameters；
Step (3): establish and cheat model without dimple single under interference effect: ultrasonic vibration grinding dental zirconium oxide is discontinuously to cut
The process cut obtains effective cutting time tAB, it is based on effective cutting time, obtains effective length of cut Ld, it is based on single abrasive particle
Movement Locus Equation and single abrasive particle crackle system, establish be based on width CL, depth ChWith effective length of cut LdNothing it is dry
Relate to single dimple hole model under effect；
Step (4): the random distribution model of cutter end face abrasive grain is established: assuming that cutter end face abrasive grain is distributed as uniformly dividing
Cloth, acquisition probability density function f (r)；
Step (5): adjacent pit centreline space away from: assuming that the distance between adjacent pit center line be Δ d, according to joint
Probability density function f (d1,d2) and probability density function f (r), the probability density function of Δ d is obtained, to obtain the expectation of Δ d
Value；
Step (6): it establishes single dimple hole model under interference effect: according to the desired value of Δ d, obtaining average interference effect
Width, depth and the length value of single dimple hole model down；
Step (7): model is cheated according to dimple single under interference effect, the microstructure under different parameters is predicted.
Calculating process of the invention is more in line with actual processing situation, and consider pit interference effect and practical work
Condition.It can be used for predicting supersonic vibration assistant grinding dental zirconium oxide ceramic surface microstructure.
Present invention is further described in detail with reference to the accompanying drawing.
Detailed description of the invention
Fig. 1 is the flow chart of microstructure prediction technique of the present invention.
Fig. 2 is ultrasonic vibration grinding movement relation schematic diagram
Fig. 3 cheats model schematic for dimple single under no interference effect
Fig. 4 is that continuous pit interferes schematic diagram.
Fig. 5 is that single dimple cheats model schematic under interference effect
Fig. 6 is surface microstructure width test value and predicted value comparison diagram
Fig. 7 is surface microstructure depth test value and predicted value comparison diagram
Fig. 8 is surface microstructure length test value and predicted value comparison diagram
Specific embodiment
In order to be better understood by technology contents of the invention, spy lifts specific example and institute's attached drawing is cooperated to be described as follows.
It is the flow chart of prediction technique of the invention in conjunction with Fig. 1；Ultrasonic vibration grinding dental zirconium oxide ceramics of the invention
The prediction technique of microstructure, specifically includes the following steps:
Step 1, the Movement Locus Equation for establishing single abrasive particle: the process of supersonic vibration assistant grinding dental zirconium oxide ceramics
In, including three aspect forms of motion: the rotary motion of main shaft, the ultrasonic vibration of main shaft and cutter feed motion, according to
Three kinds of forms of motion, as shown in Fig. 2, establishing the Movement Locus Equation of single abrasive particle；
1.1, according to the feed motion of cutter, the direction of feed equation of motion is established:
X=Vst+r cos(ωt) (1)
1.2, according to the rotary motion of main shaft, the equation of motion is established:
Y=r sin (ω t) (2)
1.3, it is acted on according to the ultrasonic vibration of main shaft, establishes and be axially moved equation:
Z=A sin (2 π ft) (3)
Wherein, VsFor feed speed, mm/s；T is the cutting time of single abrasive particle, s；R is abrasive grain in the position of radial direction
It sets, mm；ω is the angular speed of abrasive grain, rad/s；A is ultrasonic amplitude, μm；F is vibration frequency, Hz,
Step 2, the crackle system for establishing single abrasive particle: according to fragile material brittle removal mechanism, it is raw to obtain single abrasive particle
At the width C of crackleLWith depth ChExpression formula acquires the axial direction of single abrasive particle according to the ratio of total axial force and total abrasive particle number
Power, and according to the performance of dental zirconium oxide ceramics, seek width CLWith depth ChExpression formula based on processing and vibration parameters；
2.1, according to fragile material brittle removal mechanism, it can get the width C of crackleLWith depth ChExpression formula:
Wherein, C2For without dimension constant, C2=0.226；β is angle value of the single abrasive grain two to stile；E is dentistry oxidation
The Young's modulus of zircon ceramic, MPa；HvIt is the hardness number of material, MPa；KICIt is structural strength, MPa；υ is the Poisson's ratio of material；F
For the axial force of single abrasive particle, N,
2.2, the axial force of cutter entirety, the i.e. axial force of all abrasive grains in cutter end face are as follows:
Wherein, k0For without dimension constant, k0=2-33/16×3607/8×ξ1/16×π-7/8=14.60；k1It is related with cutting parameter,
k1=0.0614n0.5738·Vs -0.8564·ap -0.5313；R1For cutter inside radius, mm；D2It is cutter overall diameter, mm；C0It is normal without dimension
Amount, C0=[3 × 0.88 × 10-3/(100×20.5ρ)]2/3, ρ is the density of dental zirconium oxide ceramics, g/cm3；Ca is cutter mill
The concentration of grain, general value 100 related with the concrete model of cutter；R2For the outer radius of cutter, mm；E is the size of abrasive grain,
It is related with the concrete model of cutter, mm；N is the speed of mainshaft of cutter, r/min；A is ultrasonic amplitude, μm；apIt is cutting for cutter
It is deep, mm；
2.3, the Effective grains' number of cutter end face are as follows:
2.4, the axial force in single abrasive particle:
2.5, it brings F value into formula (4) and formula (5), seeks width CLWith depth ChExpression based on processing and vibration parameters
Formula:
CL=mn-0.2599·Vs 0.07853·ap -0.2906·(A+ap)0.5469·A-0.07813 (9)
Ch=m1·n-0.1865·Vs -0.06207·ap -0.2324·(A+ap)0.4375·A-0.0625 (11)
Step 3 is established and cheats model (M1 model) without dimple single under interference effect: the oxidation of supersonic vibration assistant grinding dentistry
Zirconium is the process of interrupted cut, obtains effective cutting time tAB, it is based on effective cutting time, obtains effective length of cut Ld.Base
In the Movement Locus Equation of single abrasive particle and the crackle system of single abrasive particle, establishes and be based on width CL, depth ChWith effective cutting length
Spend LdWithout dimple single under interference effect cheat model (M1 model), as shown in Figure 3；
3.1, supersonic vibration assistant grinding dental zirconium oxide process is the process of interrupted cut, obtains effective cutting time
tAB:
3.2, maximum cutting-in δ is obtained:
Wherein, ξ is geometrical geometric element, is 1.85,
3.3, effective length of cut is obtained:
3.4, joint type (13), (14) and (15), can get the expression formula of effective length of cut:
3.5, it according to formula of establishing (9), (11) and (16), establishes and is based on width CL, depth ChWith effective length of cut LdNothing
Single dimple hole model (M1 model) under interference effect.
Step 4, the random distribution model for establishing cutter end face abrasive grain: assuming that cutter end face abrasive grain is distributed as being uniformly distributed,
Acquisition probability density function f (r)；
4.1: assuming that the random distribution model of cutter end face abrasive grain is to be uniformly distributed, obtaining its probability density function f (r)；
Wherein, r is abrasive grain in the position of radial direction.
Step 5, adjacent pit centreline space are away from as shown in Figure 4: assuming that the distance between adjacent pit center line is Δ d,
According to joint probability density function f (d1,d2) and probability density function f (r), the probability density function of Δ d is obtained, to obtain
The desired value of Δ d；
5.1, the distance between two continuous pit centres lines is Δ d, is indicated are as follows:
Δ d=| rx+1-rx| (18)
Wherein, x indicates x-th of pit,
5.2, d is set1=rx+1-rx、d2=rx, then rxAnd rx+1It is represented by
rx=d2 (19)
rx+1=d1+d2 (20)
5.3, in order to obtain the desired value of Δ d, joint probability density function f (d is obtained1,d2) expression formula:
f(d1,d2)=f (r1(d1,d2),r2(d1,d2))|J| (21)
Wherein J is Jacobian,
5.4, d is sought1Probability density equation f (d1):
Work as d1When > 0,
Work as d1When < 0,
5.5, based on the definition of d, it is known that Δ d=| d1|, therefore, the probability density equation of Δ d is represented by
P(|d1|≤Δ d)=P (d1≤-Δd)+P(d1≤-Δd) (24)
5.6, it is calculated according to above, can get the desired value of Δ d:
5.7, by d=2CL, the desired value of Δ d can be obtained:
Step 6 establishes single dimple hole model (M2 model) under interference effect, as shown in Figure 5: the desired value of foundation Δ d,
Obtain width, depth and the length value of single dimple hole model (M2 model) under average interference effect；
6.1, according to formula (26) it is found that the desired value of Δ d is less than 2CL, so pit is interfered, and by formula
(26) it is found that the distance between the center line of interference pit is 2CL/ 3, according to interference mechanism, obtains average interference effect and place an order
Width, depth and the length value of a dimple hole model (M2 model), wherein width value is 8CL/ 3, depth value Ch, length value be
Ld。
Step 7 cheats model (M2 model) according to dimple single under interference effect, to the surface microstructure under different parameters
It is predicted.Step 7.1, as the above analysis, the predicted value of surface microstructure are as follows:
The width value W of surface microstructure are as follows:
The depth value D of surface microstructure are as follows:
D=Ch=m1·n-0.1865·Vs -0.06207·ap -0.2324·(A+ap)0.4375·A-0.0625 (28)
The length value L of surface microstructure are as follows:
Step 7.2 carries out test, and the predicted value of surface microstructure and experiment value are compared.
Embodiment 1:
Supersonic vibration assistant grinding test carries out on German DMG ultrasonic device.Supersonic frequency is 25kHz, ultrasonic amplitude
μm rising from 2 μm to 5 with the increase of power ratio.Diamond cutter outer diameter be 8mm, wall thickness 0.6mm, diamond abrasive grain having a size of
D126.Workpiece is fully sintered dental zirconium oxide ceramics, is provided by Ai Dite (Qinhuangdao) Science and Technology Co., Ltd., mechanical
Performance parameter is as shown in table 1.
The fully sintered zirconia ceramics mechanical performance parameter of table 1
Obviously, these parameters are determined by dental zirconium oxide ceramic characteristics and the structure of cutter etc., the ginseng of examples detailed above
Number is not limitation of the present invention.
Change the more significant impact factor (speed of mainshaft) in the present embodiment and carries out verification experimental verification.Test parameters such as table
Shown in 2.The experiment value and predicted value of surface microstructure are as shown in Fig. 6,7,8:
2 processing experiment parameter value of table
As previously mentioned, using the predictor formula of surface microstructure width, depth and length, under the different speeds of mainshaft
Supersonic vibration assistant grinding dental zirconium oxide ceramic surface microstructure is predicted.By relevant parameter substitute into formula (27), (28),
(29) in, the predicted value of surface microstructure width, depth and length is obtained；The comparison of test value and predicted value, such as Fig. 6, Fig. 7
And shown in Fig. 8, it will thus be seen that its predicted value value and test value have preferable consistency when supersonic vibration assistant grinding.Therefore, originally
Invention can predict supersonic vibration assistant grinding dental zirconium oxide ceramic surface microstructure.
Claims (8)
1. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure, which is characterized in that including following step
It is rapid:
Step (1): the Movement Locus Equation of single abrasive particle is established: during ultrasonic vibration grinding dental zirconium oxide ceramics, packet
Include three aspect forms of motion: the rotary motion of main shaft, the ultrasonic vibration of main shaft and cutter feed motion, according to three kinds transport
Dynamic form, establishes the Movement Locus Equation of single abrasive particle；
Step (2): it establishes the crackle system of single abrasive particle: according to fragile material brittle removal mechanism, obtaining single abrasive particle and generate
The width C of crackleLWith depth ChExpression formula acquires the axial force of single abrasive particle according to the ratio of total axial force and total abrasive particle number,
And according to the performance of dental zirconium oxide ceramics, width C is soughtLWith depth ChExpression formula based on processing and vibration parameters；
Step (3): establish and cheat model without dimple single under interference effect: ultrasonic vibration grinding dental zirconium oxide is interrupted cut
Process obtains effective cutting time tAB, it is based on effective cutting time, obtains effective length of cut Ld, the fortune based on single abrasive particle
The crackle system of dynamic equation of locus and single abrasive particle, establishes and is based on width CL, depth ChWith effective length of cut LdWithout interference make
Model is cheated with lower single dimple；
Step (4): it establishes the random distribution model of cutter end face abrasive grain: assuming that cutter end face abrasive grain is distributed as being uniformly distributed, obtaining
Take probability density function f (r)；
Step (5): adjacent pit centreline space away from: assuming that the distance between adjacent pit center line be Δ d, according to joint probability
Density function f (d1,d2) and probability density function f (r), the probability density function of Δ d is obtained, to obtain the desired value of Δ d；
Step (6): it establishes single dimple hole model under interference effect: according to the desired value of Δ d, obtaining average interference effect and place an order
Width, depth and the length value of a dimple hole model；
Step (7): model is cheated according to dimple single under interference effect, the microstructure under different parameters is predicted.
2. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure as described in claim 1, special
Sign is, in abovementioned steps (1), establishing the Movement Locus Equation of single abrasive particle, steps are as follows:
Step 1.1, according to the feed motion of cutter, the direction of feed equation of motion is established:
X=Vst+r cos(ωt) (1)
Step 1.2, according to the rotary motion of main shaft, the equation of motion is established:
Y=r sin (ω t) (2)
Step 1.3, it is acted on according to the ultrasonic vibration of main shaft, establishes and be axially moved equation:
Z=Asin (2 π ft) (3)
Wherein, VsFor feed speed, mm/s；T is the cutting time of single abrasive particle, s；R is abrasive grain in the position of radial direction, mm；
ω is the angular speed of abrasive grain, rad/s；A is ultrasonic amplitude, μm；F is vibration frequency, Hz.
3. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure as claimed in claim 2, special
Sign is, in abovementioned steps (2), establishes the crackle system of single abrasive particle, steps are as follows:
Step 2.1, according to fragile material brittle removal mechanism, it can get the width C of crackleLWith depth ChExpression formula:
Wherein, C2For without dimension constant, C2=0.226；β is angle value of the single abrasive grain two to stile；E is dental zirconium oxide pottery
The Young's modulus of porcelain, MPa；HvIt is the hardness number of material, MPa；KICIt is structural strength, MPa；υ is the Poisson's ratio of material；F is single
The axial force of abrasive grain, N；
The axial force of step 2.2, cutter entirety, the i.e. axial force of all abrasive grains in cutter end face are as follows:
Wherein, k0For without dimension constant, k0=2-33/16×3607/8×ξ1/16×π-7/8=14.60；k1It is related with cutting parameter, k1=
0.0614n0.5738·Vs -0.8564·ap -0.5313；R1For cutter inside radius, mm；D2It is cutter overall diameter, mm；C0Be without dimension constant,
C0=[3 × 0.88 × 10-3/(100×20.5ρ)]2/3, ρ is the density of dental zirconium oxide ceramics, g/cm3；Ca is cutter abrasive grain
Concentration, it is related with the concrete model of cutter；R2For the outer radius of cutter, mm；E is the size of abrasive grain, the concrete model with cutter
It is related, mm；N is the speed of mainshaft of cutter, r/min；A is ultrasonic amplitude, μm；apIt is the cutting-in of cutter, mm；
Step 2.3, the Effective grains' number of cutter end face are as follows:
Step 2.4, the axial force in single abrasive particle:
Step 2.5, it brings F value into formula (4) and formula (5), seeks width CLWith depth ChExpression based on processing and vibration parameters
Formula:
CL=mn-0.2599·Vs 0.07853·ap -0.2906·(A+ap)0.5469·A-0.07813 (9)
Ch=m1·n-0.1865·Vs -0.06207·ap -0.2324·(A+ap)0.4375·A-0.0625 (11)
4. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure as claimed in claim 3, special
Sign is, in abovementioned steps (3), establishes and cheats model, specific steps without dimple single under interference effect are as follows:
Step 3.1, ultrasonic vibration grinding dental zirconium oxide process is the process of interrupted cut, obtains effective cutting time tAB:
Step 3.2, maximum cutting-in δ is obtained:
Wherein, ξ is geometrical geometric element, is 1.85,
Step 3.3, effective length of cut is obtained:
Step 3.4, joint type (13), (14) and (15), can get the expression formula of effective length of cut:
Step 3.5, it according to formula of establishing (9), (11) and (16), establishes and is based on width CL, depth ChWith effective length of cut LdNothing
Single dimple cheats model under interference effect.
5. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure as claimed in claim 4, special
Sign is, in abovementioned steps (4), establishes the random distribution model of cutter end face abrasive grain, specific steps are as follows:
Step 4.1: assuming that the random distribution model of cutter end face abrasive grain is to be uniformly distributed, obtaining its probability density function f (r)；
Wherein, r is abrasive grain in the position of radial direction.
6. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure as claimed in claim 5, special
Sign is, in abovementioned steps (5), establishes adjacent pit centreline space away from specific steps are as follows:
Step 5.1, the distance between two continuous pit centres lines is Δ d, is indicated are as follows:
Δ d=| rx+1-rx| (18)
Wherein, x indicates x-th of pit,
Step 5.2, if d1=rx+1-rx、d2=rx, then rxAnd rx+1It is represented by
rx=d2 (19)
rx+1=d1+d2 (20)
Step 5.3, in order to obtain the desired value of Δ d, joint probability density function f (d is obtained1,d2) expression formula:
f(d1,d2)=f (r1(d1,d2),r2(d1,d2))|J| (21)
Wherein J is Jacobian,
Step 5.4, d is sought1Probability density equation f (d1):
Work as d1When > 0,
Work as d1When < 0,
Step 5.5, based on the definition of d, it is known that Δ d=| d1|, therefore, the probability density equation of Δ d is represented by
P(|d1|≤Δ d)=P (d1≤-Δd)+P(d1≤-Δd) (24)
Step 5.6, it is calculated according to above, can get the desired value of Δ d:
Step 5.7, by d=2CL, the desired value of Δ d can be obtained:
7. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure as claimed in claim 6, special
Sign is, in abovementioned steps (6), establishes single dimple hole model, specific steps under interference effect are as follows:
Step 6.1, according to formula (26) it is found that the desired value of Δ d is less than 2CL, so pit is interfered, and by formula
(26) it is found that the distance between the center line of interference pit is 2CL/ 3, according to interference mechanism, obtains average interference effect and place an order
Width, depth and the length value in a dimple hole, wherein width value is 8CL/ 3, depth value Ch, length value Ld。
8. a kind of prediction technique of ultrasonic vibration grinding dental zirconium oxide ceramic micro-structure as claimed in claim 7, special
Sign is, in abovementioned steps (7), carries out test, the predicted value of microstructure and test value are compared,
Step 7.1, as the above analysis, the predicted value of microstructure are as follows:
The width value W of microstructure are as follows:
The depth value D of microstructure are as follows:
D=Ch=m1·n-0.1865·Vs-0.06207·ap-0.2324·(A+ap)0.4375·A-0.0625 (28)
The length value L of microstructure are as follows:
Step 7.2, carry out test, the predicted value of microstructure and experiment value are compared.
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| CN101774139A (en) * | 2009-12-25 | 2010-07-14 | 田欣利 | Circular turning tool for ceramic excircle processing and axial processing method thereof |
| CN103753357A (en) * | 2014-01-23 | 2014-04-30 | 南京理工大学 | Method for predicting axial direction cutting force of supersonic vibration auxiliary grinding for fragile materials |
| CN104759950A (en) * | 2015-04-24 | 2015-07-08 | 南京理工大学 | Method for predicting cutting force of ultrasonic vibration assisting grinding fragile material in feed direction |
| CN105538050A (en) * | 2016-01-28 | 2016-05-04 | 南京理工大学 | Prediction method of cutting force of ultrasonic vibration side face grinding of brittle material |
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