CN106239230A - A kind of method for designing of ultrasonic elliptical vibratory cutting device - Google Patents
A kind of method for designing of ultrasonic elliptical vibratory cutting device Download PDFInfo
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- CN106239230A CN106239230A CN201610758914.3A CN201610758914A CN106239230A CN 106239230 A CN106239230 A CN 106239230A CN 201610758914 A CN201610758914 A CN 201610758914A CN 106239230 A CN106239230 A CN 106239230A
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- transducer
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- horn
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- 238000000034 method Methods 0.000 title claims abstract description 46
- 238000005520 cutting process Methods 0.000 title claims abstract description 31
- 239000000919 ceramic Substances 0.000 claims abstract description 26
- 238000005452 bending Methods 0.000 claims abstract description 9
- 238000003801 milling Methods 0.000 claims abstract description 5
- 239000000463 material Substances 0.000 claims description 9
- 238000010008 shearing Methods 0.000 claims description 2
- 238000003754 machining Methods 0.000 abstract description 3
- 238000005457 optimization Methods 0.000 abstract 1
- 238000004088 simulation Methods 0.000 abstract 1
- 229910003460 diamond Inorganic materials 0.000 description 4
- 239000010432 diamond Substances 0.000 description 4
- 230000001174 ascending effect Effects 0.000 description 2
- CWYNVVGOOAEACU-UHFFFAOYSA-N Fe2+ Chemical compound [Fe+2] CWYNVVGOOAEACU-UHFFFAOYSA-N 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
Classifications
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23Q—DETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
- B23Q5/00—Driving or feeding mechanisms; Control arrangements therefor
- B23Q5/02—Driving main working members
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B06—GENERATING OR TRANSMITTING MECHANICAL VIBRATIONS IN GENERAL
- B06B—METHODS OR APPARATUS FOR GENERATING OR TRANSMITTING MECHANICAL VIBRATIONS OF INFRASONIC, SONIC, OR ULTRASONIC FREQUENCY, e.g. FOR PERFORMING MECHANICAL WORK IN GENERAL
- B06B1/00—Methods or apparatus for generating mechanical vibrations of infrasonic, sonic, or ultrasonic frequency
- B06B1/02—Methods or apparatus for generating mechanical vibrations of infrasonic, sonic, or ultrasonic frequency making use of electrical energy
- B06B1/06—Methods or apparatus for generating mechanical vibrations of infrasonic, sonic, or ultrasonic frequency making use of electrical energy operating with piezoelectric effect or with electrostriction
-
- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23Q—DETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
- B23Q5/00—Driving or feeding mechanisms; Control arrangements therefor
- B23Q5/22—Feeding members carrying tools or work
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- Engineering & Computer Science (AREA)
- Mechanical Engineering (AREA)
- Apparatuses For Generation Of Mechanical Vibrations (AREA)
- Processing Of Stones Or Stones Resemblance Materials (AREA)
Abstract
The method for designing of a kind of ultrasonic elliptical vibratory cutting device, belongs to precise machine machining field.The method for designing of described ultrasonic elliptical vibratory cutting device comprises the following steps: (1) determines elliptical vibration cutting device parameter；(2) transducer length is calculated；(3) when calculating transducer bending vibration, antinode and the position of node；(4) insert piezoelectric ceramic piece, revise transducer length；(5) horn length at different levels is calculated；(6) according to the shape of tool, at the end milling flat of final stage amplitude transformer.Elliptical vibration cutting device method for designing according to embodiments of the present invention, it is achieved that cutter produces elliptical trajectory on two dimensional surface.Method for designing the most of the present invention uses mathematical formulae to derive, it is to avoid Experience Design and simulation optimization design.
Description
Technical field
The invention belongs to precise machine machining field, particularly to the design of a kind of ultrasonic elliptical vibratory cutting device
Method.
Background technology
Ultrasonic elliptical vibratory cutting is proposed by this English of Japanese scholars society two et al..When diamond cutter cuts in a usual manner
When hard brittle material and ferrous metal, tool wear is the most serious；But after diamond cutter is applied ultrasonic elliptical vibratory in cutting
Stating material, tool wear significantly reduces, and extends the service life of diamond cutter, improves the suface processing quality of part.
Current existing elliptical vibration cutting device patent has many, including: patent (CN 103611947A) has invented one
Plant hinge parallel type elliptical vibration cutting flexible apparatus and realize diamond cutter generation elliptical orbit.But this device is off-resonance
Type elliptical vibration, it is impossible to produce ultrasonic elliptical vibratory, and do not illustrate how design, produce elliptical vibration cutting device.
Utility model (CN 204235246U) provides a kind of transducer and adds the UVC mechanism of horn mode, but equally
Detailed method for designing is not proposed.Patent (CN 101804575A) has invented a kind of resonant elliptical ultrasonic vibration auxiliary
Topping machanism, and it is also adopted by the piezoelectric ceramics of semicircle lamellar.But its piezoelectric ceramic piece is asymmetric to be arranged, and does not has equally
It is described design procedure.
In sum, currently without the method for designing of a kind of ultrasonic elliptical vibratory cutting device, intactly introduce ultrasonic ellipse
The design procedure of circular vibration topping machanism.
Summary of the invention
The present invention proposes the method for designing of a kind of ultrasonic elliptical vibratory cutting device, is used for designing, manufacturing ultrasonic ellipse
Vibration cutting device.
As it is shown in figure 1, the method for designing of the ultrasonic elliptical vibratory cutting device of present invention proposition, comprise the steps:
(1) elliptical vibration cutting device parameter is determined；
(2) transducer length is calculated；
(3) when calculating transducer bending vibration, antinode and the position of node；
(4) insert piezoelectric ceramic piece, revise transducer length；
(5) horn length at different levels is calculated；
(6) according to the shape of tool, at the end milling flat of final stage amplitude transformer.
In said method, the elliptical vibration cutting device parameter that described step (1) determines includes: the operating frequency of devicef、
Transducer diameterd T , transducer and horn density of materialρ T , Young's modulusE T , Poisson's ratioυ T , the diameter of horn at different levelsd 1、d 2 , the thickness of piezoelectric ceramic piecel C , piezoelectric ceramic piece density of materialρ C , Young's modulusE C , Poisson's ratioυ C ；
In said method, the method that described step (2) calculates transducer length is as follows:
(1)
Wherein
ω: angular frequency (Hz)
A: cross-sectional area (m2)
ρ: density (kg/m3)
E: Young's modulus (Pa)
I: the moment of inertia (m4)
k'G: effectively modulus of shearing
υ: Poisson's ratio.
In said method, when described step (3) calculates transducer bending vibration, the method for the position of antinode and node
As follows:
(2)
Wherein Y is the position of bending vibration wave-amplitude, and X is any point and the distance of starting point, calculated Y in transducer axis
X value during=max and Y=0 is antinode and the position of node on transducer；φ1、φ2、n1、n2With calculating φ in claim 21、
φ2、n1、n2Method identical；In addition need to obtain in transducer anti-node location at two, each insert one group of (4) semicircular ring shape
Piezoelectric ceramics.
In said method, inserting piezoelectric ceramic piece in described step (4), the method revising transducer length is as follows:
(3)
Anti-node location on the transducer inserts piezoelectric ceramics, and often inserts 2 semicircular ring thicknessl C Piezoelectric ceramics, will change
The length of energy device reducesl M ；Its direction of vibration of piezoelectric ceramics that antinode is inserted at two has 90 degree of phase contrasts.
In said method, described step (5) calculates horn length at different levelsl 1、l 2Method as follows:
Calculate intergrade horn lengthl 1Method as follows:
(4)
Calculate final stage amplitude transformer lengthl 2The same formula of method (1):
Wherein φ1、φ2、n1、n2With calculating φ in claim 21、φ2、n1、n2Method identical, but cross section taken in correspondence amass A,
The moment of inertia I should replace to the dimensional parameters of horn.
Present invention mathematical linguistics describes the method for designing of a kind of ultrasonic elliptical vibratory cutting device.The present invention's is useful
Effect is: according to inventing carried design procedure, can go out every design parameter of ultrasonic elliptical vibratory cutting device by step by step calculation, make
Produce a kind of ultrasonic elliptical vibratory cutting device for machining.
Accompanying drawing explanation
Fig. 1 is the flow chart of ultrasonic elliptical vibratory cutting device method for designing.
Fig. 2 is embodiment integral installation figure.
Fig. 3 is anti-node location at two, each relative position relation placing one group of piezoelectric ceramics.
Detailed description of the invention
Below in conjunction with the accompanying drawings technical scheme is further described, but is not limited thereto；Every to this
Inventive technique scheme is modified or equivalent, without deviating from the spirit and scope of technical solution of the present invention, all should contain
In protection scope of the present invention.
Elliptical vibration cutting device, including: transducer 1, intergrade horn 2, final stage amplitude transformer 3, first group (4) half
Annulus piezoelectric ceramics 4, second group of (4) semicircular ring piezoelectric ceramics 5, at the end milling flat 6 of final stage amplitude transformer.
(1) operating frequency of device is determinedf =20KHz, transducer diameterd T =42mm, transducer and horn material are close
Degreeρ T =, Young's modulusE T =, Poisson's ratioυ T =0.3, the diameter of horn at different levelsd 1=36 mm、d 2 =30 mm, piezoelectric ceramic piece
Thicknessl C =5mm, piezoelectric ceramic piece density of materialρ C =, Young's modulusE C =, Poisson's ratioυ C =0.3。
(2) transducer length is solved according to formula (1)l T .Meet what formula (1) was set upl T Have infinite multiple, due in transducer
At least should there is antinode at two, therefore when the solution of formula (1)l T During by ascending arrangement, the 3rd should be selected or it is above any
One solution.For making this apparatus structure compact, therefore the present embodiment selects the 3rd solution,l T =144.2mm。
(3) antinode and the position of node when calculating transducer bending vibration according to formula (2).X corresponding during Y=max with Y=0
Value is antinode and the position of node on transducer.Anti-node location is X=41.6mm, X=91.2mm.
(4) at X=41.6mm, X=91.2mm inserts piezoelectric ceramic piece, places according to the mode of Fig. 3, according to formula (3)
Revise transducer length, try to achievel M =9.6mm.I.e., often inserting 2 semicircular ring thickness is the piezoelectric ceramic piece of 5mm, and transducer is long
Degree reduces 9.6mm.
(5) horn length at different levels is calculated:
Intergrade horn lengthl 1Obtaining according to formula (4), for making this apparatus structure compact, therefore the present embodiment selectsi=1 feelings
Value under condition,l 1=50mm；
Final stage amplitude transformer lengthl 2Obtaining according to formula (1), for making this apparatus structure compact, therefore the present embodiment selects when formula (1)
Solutionl 2First solution during ascending arrangement,l 2=35.6mm。
(6) according to the shape of tool, at the end milling flat 6 of final stage amplitude transformer, as shown in Figure 2.
Claims (5)
1. the method for designing of a ultrasonic elliptical vibratory cutting device, it is characterised in that described method for designing step is as follows:
(1) elliptical vibration cutting device parameter is determined:
Elliptical vibration cutting device parameter includes: the operating frequency of devicef, transducer diameterd T , transducer and horn material are close
Degreeρ T , Young's modulusE T , Poisson's ratioυ T , the diameter of horn at different levelsd 1、d 2 , the thickness of piezoelectric ceramic piecel C , piezoelectric ceramics sheet material
Material densityρ C , Young's modulusE C , Poisson's ratioυ C ；
(2) transducer length is calculatedl T ；
(3) when calculating transducer bending vibration, antinode and the position of node；
(4) insert piezoelectric ceramic piece, revise transducer length；
(5) horn length at different levels is calculatedl 1、l 2；
(6) according to the shape of tool, at the end milling flat of final stage amplitude transformer.
The method for designing of a kind of ultrasonic elliptical vibratory cutting device the most according to claim 1, it is characterised in that described step
Suddenly the method calculating transducer length in (2) is as follows:
(1)
Wherein
ω: angular frequency (Hz)
A: cross-sectional area (m2)
ρ: density (kg/m3)
E: Young's modulus (Pa)
I: the moment of inertia (m4)
k'G: effectively modulus of shearing
υ: Poisson's ratio.
The method for designing of a kind of ultrasonic elliptical vibratory cutting device the most according to claim 1, it is characterised in that described step
When suddenly calculating transducer bending vibration in (3), the method for the position of antinode and node is as follows: according to claim 1 one
Plant the method for designing of ultrasonic elliptical vibratory cutting device, it is characterised in that when described step (3) calculates transducer bending vibration,
The method of the position of antinode and node is as follows:
(2)
Wherein Y is the position of bending vibration wave-amplitude, and X is any point and the distance of starting point, calculated Y in transducer axis
X value during=max and Y=0 is antinode and the position of node on transducer；φ1、φ2、n1、n2With calculating φ in claim 21、
φ2、n1、n2Method identical；In addition need to obtain in transducer anti-node location at two, each insert one group of (4) semicircular ring shape
Piezoelectric ceramics.
The method for designing of a kind of ultrasonic elliptical vibratory cutting device the most according to claim 1, it is characterised in that described step
Suddenly inserting piezoelectric ceramic piece in (4), the method revising transducer length is as follows:
(3)
Anti-node location on the transducer inserts piezoelectric ceramics, and often inserts 2 semicircular ring thicknessl C Piezoelectric ceramics, will change
The length of energy device reducesl M ；Its direction of vibration of piezoelectric ceramics that antinode is inserted at two has 90 degree of phase contrasts.
The method for designing of a kind of ultrasonic elliptical vibratory cutting device the most according to claim 1, it is characterised in that described step
(5) calculate horn length at different levels suddenlyl 1、l 2Method as follows:
Calculate intergrade horn lengthl 1Method as follows:
(4)
Calculate final stage amplitude transformer lengthl 2The same formula of method (1):
Wherein φ1、φ2、n1、n2With calculating φ in claim 21、φ2、n1、n2Method identical, but cross section taken in correspondence amasss A, used
Property square I should replace to the dimensional parameters of horn.
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| CN201610758914.3A CN106239230B (en) | 2016-08-30 | 2016-08-30 | A kind of design method of ultrasonic elliptical vibratory cutting device |
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| CN201610758914.3A CN106239230B (en) | 2016-08-30 | 2016-08-30 | A kind of design method of ultrasonic elliptical vibratory cutting device |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109171816A (en) * | 2018-09-05 | 2019-01-11 | 中北大学 | It is a kind of for checking the ultrasonic CT system and its scan method of mammary gland |
| CN110052903A (en) * | 2019-05-29 | 2019-07-26 | 河南理工大学 | Vertical-torsion-diameter compound air mesosome elliptical vibration ultrasonic grinding device design method |
| CN113510061A (en) * | 2021-04-02 | 2021-10-19 | 大连理工大学 | Ultrasonic elliptical vibration cutting device with double bending vibration modes |
| CN113524462A (en) * | 2021-07-23 | 2021-10-22 | 清华大学 | Elliptical ultrasonic vibration knife handle and analytic design method thereof |
| CN115138546A (en) * | 2022-06-29 | 2022-10-04 | 湖南大学 | Ultrasonic scalpel with longitudinal composite amplitude transformer and design method thereof |
| WO2023097803A1 (en) * | 2021-12-02 | 2023-06-08 | 大连理工大学 | Novel three-dimensional ultrasonic elliptical vibration cutting device |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109171816A (en) * | 2018-09-05 | 2019-01-11 | 中北大学 | It is a kind of for checking the ultrasonic CT system and its scan method of mammary gland |
| CN110052903A (en) * | 2019-05-29 | 2019-07-26 | 河南理工大学 | Vertical-torsion-diameter compound air mesosome elliptical vibration ultrasonic grinding device design method |
| CN113510061A (en) * | 2021-04-02 | 2021-10-19 | 大连理工大学 | Ultrasonic elliptical vibration cutting device with double bending vibration modes |
| CN113524462A (en) * | 2021-07-23 | 2021-10-22 | 清华大学 | Elliptical ultrasonic vibration knife handle and analytic design method thereof |
| WO2023097803A1 (en) * | 2021-12-02 | 2023-06-08 | 大连理工大学 | Novel three-dimensional ultrasonic elliptical vibration cutting device |
| CN115138546A (en) * | 2022-06-29 | 2022-10-04 | 湖南大学 | Ultrasonic scalpel with longitudinal composite amplitude transformer and design method thereof |
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