CN108681647A - A kind of design method of power vibration damping boring bar - Google Patents

A kind of design method of power vibration damping boring bar Download PDF

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Publication number
CN108681647A
CN108681647A CN201810506443.6A CN201810506443A CN108681647A CN 108681647 A CN108681647 A CN 108681647A CN 201810506443 A CN201810506443 A CN 201810506443A CN 108681647 A CN108681647 A CN 108681647A
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China
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boring bar
vibration damping
power vibration
cutting
axial direction
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孙蓓蓓
何苗
李�烈
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Southeast University
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Southeast University
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/10Geometric CAD
    • G06F30/17Mechanical parametric or variational design
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

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  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
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  • General Physics & Mathematics (AREA)
  • Evolutionary Computation (AREA)
  • General Engineering & Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Cutting Tools, Boring Holders, And Turrets (AREA)

Abstract

The present invention proposes a kind of Parameters design of bump leveller built in power vibration damping boring bar, is arranged cavity inside boring bar, and inside installation is shaken the dynamic vibration absorber system of core, rubber ring and damping oil composition, and technical scheme is as follows:(1)The mechanism of production for considering regenerative chatter, establishes the theoretical model and kinetics equation of Dynamic Cutting Process;(2)The relational expression of limit axial direction cutting width and each parameter of power vibration damping boring bar when calculating neutrality;(3)It is up to optimization aim with limit axial direction cutting width, calculates the expression formula of the optimal frequency ratios and optimal damper of power vibration damping boring bar, optimizes the rigidity of bump leveller and damping built in boring bar;(4)The core length of shaking of the built-in bump leveller of numerical computations optimization.The parameter that dynamic vibration absorber is reasonably selected according to result of calculation, can effectively inhibit the flutter in cutting process, improve the flutter stability of cutting system.

Description

A kind of design method of power vibration damping boring bar
Technical field
The present invention relates to a kind of design methods of the power vibration damping boring bar for hole machined, can inhibit in machining Chatter phenomenon, belong to metal cutting process technical field.
Background technology
Deep hole machining is the problem in mechanical processing, and the Mold processing of cutter causes greatly rigidity relatively low, easy tos produce cutting and quiver It shakes, influences the precision and surface roughness of processing part, aggravate the abrasion of blade, reduce processing efficiency.
It is the effective technical way for solving deep hole machining flutter, the vibration damping effect of power vibration damping boring bar using power vibration damping boring bar Fruit depends primarily on the design of built-in bump leveller.
The traditional design method of power vibration damping boring bar is to regard cutting force as a simple harmonic quantity power, and cutting process is an open loop Control system does not account for the interaction between the vibration motion of cutting system and the Surface Waviness of workpiece rotation generation, moves Power damping boring bar cannot be optimal using traditional design method flutter stability.
Invention content
To solve the above problems, the present invention proposes a kind of design method of power vibration damping boring bar, cutting process can be inhibited In chatter phenomenon, improve cutting stability, processing part quality and processing efficiency can be effectively improved.
Power vibration damping boring bar of the present invention, including cutter head, rubber ring, the core that shakes, cooling water pipe, damping oil, sealing it is O-shaped Circle, the boring bar body of rod, it is end cap, end that the cutter head setting has a cavity, cavity both ends inside boring bar lever front end, the boring bar body of rod Lid is internally provided with rubber ring, and the core that shakes is arranged between rubber ring, and the damping oil is arranged in the core inner that shakes, and the core inner that shakes is set There is cooling water pipe to be connected to water source, the present invention optimizes power vibration damping boring on the basis of optimal frequency ratios and Optimal damping ratio The core length of shaking of bump leveller built in bar, improves the flutter stability of cutting process, improve the element precision in deep hole machining with And processing efficiency.
Wherein end cap, rubber ring, the core that shakes, damping oil, end cap constitute bump leveller.
In order to achieve the above objectives, the technical scheme is that:
The theoretical model and kinetics equation for establishing Dynamic Cutting Process generate principle according to regenerative chatter, and boring bar exists The oscillation mark y (t-T) left in bending vibration y (t) radially and last swing circle, cause dynamic cutting thickness with It vibration frequency and the speed of mainshaft and changes, therefore the kinetics equation of cutting process is expressed as:
The stability that cutting process is judged according to the root of the characteristic equation of dynamic cutting system transter, power is subtracted The transmission function of boring bar of shaking is divided into real and imaginary parts, can obtain between limit axial direction cutting width and boring bar transmission function real part Relational expression be:
By limit axial direction cutting width blimMaximum design object as an optimization, obtains optimal frequency ratios and Optimal damping ratio For:
Convolution (2), formula (3) and formula (4) calculate the limit that difference is shaken under core length using MATLAB softwares and axially cut Width, when limit axial direction cutting width maximum, obtain optimal core length of shaking, at this time the flutter stability highest of cutting process.
The beneficial effects of the invention are as follows:
The present invention is based on regenerative chatter mechanisms of production, establish the Time-delayed Feedback control of power vibration damping boring bar Dynamic Cutting Process Simulation, it is more accurate compared to traditional simple two-freedom model, more it is bonded the production application of damping boring bar.
The design method of bump leveller rigidity and damping built in power vibration damping boring bar proposed by the present invention is axially cut with the limit Width blim
Maximum target as an optimization is improved and is cut compared to traditional bump leveller optimization method with the minimum optimization aim of amplitude Cut the flutter stability of process.
The present invention optimizes bump leveller built in power vibration damping boring bar on the basis of optimal frequency ratios and Optimal damping ratio The core length, i.e. absorber mass of shaking can be further increased and be cut compared to the method for relying on empirically determined absorber mass at present Cut the flutter stability of process.
The present invention improves the flutter stability of cutting process, also just improves the element precision in deep hole machining and adds Work efficiency rate.
Description of the drawings
Fig. 1 is the structural schematic diagram of power vibration damping boring bar of the present invention,
Wherein:1. cutter head;The end cap 2. cutter head is transferred;3. rubber ring;4. the core that shakes (mass block);5. cooling water pipe;6. damping Oily (inlet);7. seal O-ring;8. end cap;9. the boring bar body of rod.
Fig. 2 is the cutting process theoretical model figure of power vibration damping Design of Boring Bar method of the present invention.
Fig. 3 is the fixed point schematic diagram of the transmission function real part in power vibration damping boring bar optimization method of the present invention.
Fig. 4 is using the cutting-vibration the stability lobes diagram after power vibration damping Design of Boring Bar method of the present invention optimization.
Specific implementation mode
Below in conjunction with the accompanying drawings, it elaborates to the present invention:
As shown in Figure 1, the present invention relates to a kind of design method of power vibration damping boring bar, the power vibration damping boring bar includes knife First 1, cutter head switching end cap 2, rubber ring 3, the core 4 that shakes, cooling water pipe 5, damping oil 6, seal O-ring 7, end cap 8, the boring bar body of rod 9, It is end cap that the cutter head setting has a cavity, cavity both ends inside boring bar lever front end, the boring bar body of rod, and cover internal is equipped with rubber Cushion rubber, the core that shakes are arranged between rubber ring, damping oil setting in the core inner that shakes, the core inner that shakes be equipped with cooling water pipe with Water source is connected to.
The boring bar can be reduced to coupled system combined with Figure 1 and Figure 2, wherein the core 4 that shakes, rubber ring 3, damping oil 6 Constitute m, k, c of bump leveller system, cutter head 1 and the boring bar body of rod 9 constitute main system M, K, theoretical model according to fig. 2, can be with Obtain the kinetics equation of cutting process.
Relational expression between limit axial direction cutting width and boring bar transmission function real part is:, When boring bar transmission function real part Re (A (g)) is negative value, minimum value is bigger, and limit axial direction cutting width is bigger, flutter stability Better.
As shown in figure 3, boring bar transmission function real part Re (A (g)) meets fixed point theory, when B points and C point phases in three fixed points Optimal response can be obtained when matching, obtain optimal frequency ratios and Optimal damping ratio is:
Further according to frequency than the relationship between damping ratio and rigidity k and damping c, bump leveller rigidity k built in boring bar is obtained With the design parameter of damping c.
The different limit axial direction cutting widths shaken under core length are calculated using MATLAB softwares, obtaining the limit, axially cutting is wide Core length of shaking when degree is maximum, then shaken at this time core quality by optimal core length computation of shaking, absorber mass m as built in boring bar Design parameter.
As shown in figure 4, compared to traditional design method, after the optimal frequency ratios and Optimal damping ratio optimization, significantly The flutter stability in cutting process is improved, continues to optimize core length of shaking, can further increase in cutting process Flutter stability.

Claims (5)

1. a kind of design method of power vibration damping boring bar, it is characterised in that:Design includes the following steps,
(1)Principle is generated according to regenerative chatter, establishes the time delay feed back control model and kinetics equation of cutting process;
(2)The transmission function of Dynamic Cutting Process is obtained according to kinetics equation, is calculated by transmission function characteristic equation critical steady The relational expression of timing limit axial direction cutting width and each parameter of power vibration damping boring bar;
(3)It is up to optimization aim with limit axial direction cutting width, limit axial direction cutting width is bigger, and cutting is more stable, calculates institute The optimal frequency ratios of boring bar and the expression formula of optimal damper are stated, the rigidity of bump leveller and damping built in boring bar are optimized;
(4)Numerical computations software is selected to optimize built in the boring bar in conjunction with the expression formula of above-mentioned optimal frequency ratios and optimal damper The core length of shaking of bump leveller.
2. the design method of power vibration damping boring bar as described in claim 1, it is characterised in that:Step(1)It is cut establishing dynamic When cutting the theoretical model and kinetics equation of process, principle is generated according to regenerative chatter, it is contemplated that in last swing circle Influence of the chatter mark that workpiece surface generates to cutting force, a time delay feed back control system is simplified to by Dynamic Cutting Process.
3. the design method of power vibration damping boring bar as described in claim 1, it is characterised in that:According to the biography of dynamic cutting system The root of the characteristic equation of delivery function judges the stability of cutting process, and the transmission function of power vibration damping boring bar is divided into real part and void Portion can obtain the relational expression between limit axial direction cutting width and boring bar transmission function real part.
4. the design method of power vibration damping boring bar as described in claim 1, it is characterised in that:Limit axial direction cutting width is bigger Cutting is more stable, and the optimization design target of power vibration damping boring bar is limit axial direction cutting width maximum value, power vibration damping boring bar Transmission function real part meets fixed point theory, and the optimal response of flutter stability can be obtained according to fixed point theory, obtains boring bar The expression formula of optimal frequency ratios and Optimal damping ratio optimizes the rigidity value and damping value of bump leveller built in boring bar.
5. the design method of power vibration damping boring bar as described in claim 1, it is characterised in that:The rigidity of bump leveller built in boring bar Core quality will be shaken as known conditions with damping optimization, and it is axial that the limit that difference is shaken under core length is calculated using numerical computations software Cutting width is shaken core length using limit axial direction cutting width maximum value as objective optimization.
CN201810506443.6A 2018-05-24 2018-05-24 A kind of design method of power vibration damping boring bar Pending CN108681647A (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109732393A (en) * 2019-01-31 2019-05-10 松德刀具(长兴)科技有限公司 A kind of damping shock absorber and knife bar and cutter using the damping shock absorber
CN112730622A (en) * 2021-03-16 2021-04-30 西南交通大学 Roadbed compaction quality testing method, device and equipment and readable storage medium

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4096771A (en) * 1976-10-08 1978-06-27 Usm Corporation Adjustable and floating boring bar stabilizer
JP5288318B1 (en) * 2012-10-23 2013-09-11 エヌティーエンジニアリング株式会社 Chatter control method for work machines
CN103455728A (en) * 2013-09-13 2013-12-18 天津大学 Method for tuning and optimizing parameters of dynamic absorber based on machining process
CN104484506A (en) * 2014-11-25 2015-04-01 东北大学 Turning flutter forecasting method based on reliability lobe graph
CN106363198A (en) * 2016-11-07 2017-02-01 东南大学 Dynamic vibration attenuation boring tool

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4096771A (en) * 1976-10-08 1978-06-27 Usm Corporation Adjustable and floating boring bar stabilizer
JP5288318B1 (en) * 2012-10-23 2013-09-11 エヌティーエンジニアリング株式会社 Chatter control method for work machines
CN103455728A (en) * 2013-09-13 2013-12-18 天津大学 Method for tuning and optimizing parameters of dynamic absorber based on machining process
CN104484506A (en) * 2014-11-25 2015-04-01 东北大学 Turning flutter forecasting method based on reliability lobe graph
CN106363198A (en) * 2016-11-07 2017-02-01 东南大学 Dynamic vibration attenuation boring tool

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NEIL D.SIMS: ""Vibration absorbers for chatter suppression:A new analytical tuning methodology"", 《JOURNAL OF SOUND AND VIBRATION》 *
P. N. RAO等: ""TOWARDS IMPROVED DESIGN OF BORING BARS PART 1:DYNAMIC CUTTING FORCE MODEL WITH CONTINUOUS SYSTEM ANALYSIS FOR THE BORING BAR PERFORMANCE"", 《INT.J.MACH.TOOLS MANUFACT》 *
张志军等: "深孔加工镗杆的结构模态对切削颤振的影响", 《机械设计与制造》 *
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109732393A (en) * 2019-01-31 2019-05-10 松德刀具(长兴)科技有限公司 A kind of damping shock absorber and knife bar and cutter using the damping shock absorber
CN112730622A (en) * 2021-03-16 2021-04-30 西南交通大学 Roadbed compaction quality testing method, device and equipment and readable storage medium
CN112730622B (en) * 2021-03-16 2021-06-22 西南交通大学 Roadbed compaction quality testing method, device and equipment and readable storage medium

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Application publication date: 20181019

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