CN109977562A - It is a kind of concentrated for solving stress, the design method of light-weighted expansion coupling sleeve - Google Patents

It is a kind of concentrated for solving stress, the design method of light-weighted expansion coupling sleeve Download PDF

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CN109977562A
CN109977562A CN201910247148.8A CN201910247148A CN109977562A CN 109977562 A CN109977562 A CN 109977562A CN 201910247148 A CN201910247148 A CN 201910247148A CN 109977562 A CN109977562 A CN 109977562A
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coupling sleeve
design parameter
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CN109977562B (en
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宁可
王建梅
崔夕峰
侯定邦
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Taiyuan University of Science and Technology
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Abstract

The present invention relates to a kind of for solving stress concentration, the design method of light-weighted expansion coupling sleeve.The present invention mainly solves the technical problems such as reliability deficiency, waste of material existing for existing expansion set sizing method.Specific method includes: 1) according to expansion coupling sleeve transmitting torque request, material yield strength requirement and the requirement of lightweight minimum mass；Determine design objective are as follows: main shaft and axle sleeve minimal-contact pressure p1min, complete machine maximum equivalent EmaxWith minimum mass mmin；2) design parameter of expansion set is determined according to design objective, is based on finite element modelling, obtains sample data using Orthogonal Experiment and Design；3) conclude sample data, regard design objective as function dependent variable, design parameter obtains objective function as independent variable, using Kriging method, construct meet torque, equivalent stress, minimum mass prediction model；4) simultaneous prediction model obtains multi-goal optimizing function, is solved by second generation genetic algorithm (NSGA-II), obtains final design parameter.

Description

It is a kind of concentrated for solving stress, the design method of light-weighted expansion coupling sleeve
Technical field
The present invention relates to a kind of for solving stress concentration, the design method of light-weighted expansion coupling sleeve, it belongs to machine Tool transmission connection technical field.
Background technique
Expansion coupling sleeve (expansion set) as the basic connector of machine driven system be widely used in metallurgy, new energy, The fields such as lathe, weaving, mining machinery；The structure can transmit diversified forms load and combined load, by frictional drive, mistake It carries and skids, equipment is protected not damage；Convenient disassembly has preferable interchangeability.It is answered currently, traditional expansion set design method is ignored Power concentration problem lacks to light-weighted design requirement, and there are reliability deficiency, waste of material and manufacturing cost are inclined for design result The problems such as high.
Summary of the invention
Present invention aim to address reliabilities existing for existing expansion set sizing method insufficient, waste of material and manufacture Technical problem at high cost provides the stress that is used to solve that one kind is reliable and stable, promotion manufactures and designs efficiency and concentrates, is light-weighted The design method of expansion coupling sleeve.
To achieve the above object, the technical solution adopted by the present invention is that:
It is a kind of concentrated for solving stress, the design method of the expansion coupling sleeve of lightweight problem, the expansion coupling Set is made of inner ring, outer ring and bolt, is sleeved on axle sleeve and main shaft, design method includes the following steps:
1) it is required according to expansion coupling sleeve transmitting torque request, material yield strength and lightweight minimum mass requires；Really Determine design objective are as follows: main shaft and axle sleeve minimal-contact pressure p1min, complete machine maximum equivalent EmaxWith minimum mass mmin；
2) design feature of expansion coupling sleeve, determining design parameter are as follows: inner ring circular conical surface minimum diameter d are combined3, outer ring Diameter d4, maximum promote stroke emax；In conjunction with design parameter, using finite element modelling, design ginseng is obtained by orthogonal test method Number sample data corresponding with design objective；
3) sample data is concluded, using design objective as function dependent variable, design parameter is utilized as independent variable Kriging method obtains objective function, building meet torque, equivalent stress, minimum mass prediction model；
4) simultaneous prediction model obtains multi-goal optimizing function, is solved by second generation genetic algorithm (NSGA-II), obtains Final design parameter: inner ring circular conical surface minimum diameter d3, outer annular diameter d4, maximum promote stroke emax, wherein it is full to solve priority Foot: torque > equivalent stress > minimum mass；Minimum promotes stroke to meet emin=kemax, 0.6 < k < 0.8.
The beneficial effects of the present invention are:
The present invention is based on novel Optimization Theory and finite element modellings, while considering that stress collection neutralizes lightweight, solve The technical problem that reliability existing for existing expansion set sizing method is insufficient, waste of material and manufacturing cost are high, the present invention Compared with the background art, have computational efficiency high, effectively increase product reliability, reduce manufacture cost and other advantages.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of expansion coupling sleeve of the present invention；
In figure: 1-main shaft, 2-axle sleeves, 3-outer rings, 4-inner ring, 5-bolts, d0- main shaft internal diameter, d1Outside-main shaft Diameter, d2- axle sleeve outer diameter, d3- inner ring circular conical surface minimum diameter, d4- outer ring outer diameter, L-inner ring and main shaft contact length, e- Promote stroke.
Specific embodiment
The invention will be further described with reference to the accompanying drawings and examples.
As shown in Figure 1, one of the present embodiment is used to solve the design side of stress concentration, light-weighted expansion coupling sleeve Method, the expansion coupling sleeve are made of inner ring, outer ring and bolt, are sleeved on axle sleeve and main shaft, and design method includes such as Lower step:
1) it is required according to expansion coupling sleeve transmitting torque request, material yield strength and lightweight minimum mass requires；Really Determine design objective are as follows: main shaft and axle sleeve minimal-contact pressure p1min, complete machine maximum equivalent EmaxWith minimum mass mmin；
2) design feature of expansion coupling sleeve, determining design parameter are as follows: inner ring circular conical surface minimum diameter d are combined3, outer ring Diameter d4, maximum promote stroke emax；In conjunction with design parameter, using finite element modelling, design ginseng is obtained by orthogonal test method Number sample data corresponding with design objective；
3) sample data is concluded, using design objective as function dependent variable, design parameter is utilized as independent variable Kriging method obtains objective function, building meet torque, equivalent stress, minimum mass prediction model；
4) simultaneous prediction model obtains multi-goal optimizing function, is solved by second generation genetic algorithm (NSGA-II), obtains Final design parameter: inner ring circular conical surface minimum diameter d3, outer annular diameter d4, maximum promote stroke emax, wherein it is full to solve priority Foot: torque > equivalent stress > minimum mass；Minimum promotes stroke to meet emin=kemax, 0.6 < k < 0.8.
Below by a specific application example, the present invention is further described.
This example is the expansion set using certain model, design parameter are as follows: main shaft internal diameter d0=60mm, main shaft outside diameter d1= 520mm, axle sleeve outside diameter d2=640mm, main shaft and axle sleeve tolerance range H7/g6, axle sleeve and inner ring tolerance range H7/f6, the bullet of axle sleeve Property modulus be 180Gpa, the elasticity modulus of main shaft, inner ring and outer ring is 210GPa, and the Poisson's ratio of all components is 0.3, main shaft With the contact length L=280.5mm of axle sleeve, contact surface friction coefficient μ=0.15, nominal torque M=2800kNm.Expansion set material Expect yield limit Q=930MPa.
Using design method of the invention, key step is as follows:
1) consider transmitting torque, stress concentration, lightweight, determine design objective are as follows: main shaft and axle sleeve minimal-contact pressure p1min, complete machine maximum equivalent EmaxWith minimum mass mmin；
2) main design parameter is determined are as follows: inner ring circular conical surface minimum diameter d3, outer annular diameter d4, maximum promote stroke emax；Using finite element modelling, it is as follows that design parameter sample data corresponding with design objective is obtained by orthogonal test method:
Certain the model expansion set experimental design result data of table 1
3) sample data is concluded, obtains objective function using Kriging method:
In formula: f1(d4,emax,d3) it is complete machine maximum equivalent EmaxFunction；f2(d4,emax,d3) be main shaft and axle sleeve most Small contact pressure p1minFunction；f3(d4,emax,d3) it is complete machine minimum mass mminFunction；εi(i=1,2,3) is residual error, meets the phase Prestige is zero, covariance is not zero.
4) simultaneous prediction model obtains multi-goal optimizing function:
Min F (x)=[- f1(x),-f2(x),f3(x)]
s.t.Emax< Q
p1,min> 2M/ (π μ Ld1)
d4min≤d4≤d4max
emaxmin≤emax≤emaxmax
d3minmin≤d3min≤d3minmax (4)
In formula, maximum equivalent EmaxNo more than the yield limit Q of material；Main shaft and axle sleeve minimal-contact pressure p1min Greater than pressure needed for transmitting minimum torque；d3、d4、emaxMeet bound requirement, Emax、p1minIts i.e. opposite number letter as big as possible Number-f1(x)、-f2(x) as small as possible, the priority of three above function meets f2(x) > f1(x) > f3(x)。
It is solved by NSGA-II, obtains final design parameter, stroke e is promoted according to minimummin=kemax, 0.6 < k < 0.8, Design result is as follows:
2 design result of table

Claims (1)

1. a kind of for solving stress concentration, the design method of light-weighted expansion coupling sleeve, which is characterized in that the swelling connection Knot set is made of inner ring, outer ring and bolt, is sleeved on axle sleeve and main shaft, design method includes the following steps:
1) it is required according to expansion coupling sleeve transmitting torque request, material yield strength and lightweight minimum mass requires；Determination is set Count index are as follows: main shaft and axle sleeve minimal-contact pressure p1min, complete machine maximum equivalent EmaxWith minimum mass mmin；
2) design feature of expansion coupling sleeve, determining design parameter are as follows: inner ring circular conical surface minimum diameter d are combined3, outer annular diameter d4, maximum promote stroke emax；In conjunction with design parameter, using finite element modelling, by orthogonal test method obtain design parameter with The corresponding sample data of design objective；
3) sample data is concluded, using design objective as function dependent variable, design parameter utilizes Kriging method as independent variable Obtain objective function, building meet torque, equivalent stress, minimum mass prediction model；
4) simultaneous prediction model obtains multi-goal optimizing function, is solved by second generation genetic algorithm, obtains final design parameter: Inner ring circular conical surface minimum diameter d3, outer annular diameter d4, maximum promote stroke emax, wherein it solves priority and meets: torque > equivalent Stress > minimum mass；Minimum promotes stroke to meet emin=kemax, 0.6 < k < 0.8.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110610038A (en) * 2019-09-06 2019-12-24 太原科技大学 Prediction method for friction coefficient of keyless connection joint surface
CN111523267A (en) * 2020-04-21 2020-08-11 重庆邮电大学 Fan main shaft structure optimization method based on parameterized finite element model
CN111661360A (en) * 2020-06-23 2020-09-15 安徽航瑞航空动力装备有限公司 Design method of aircraft engine propeller flange conical surface connecting structure
CN112036055A (en) * 2020-07-15 2020-12-04 成都飞机工业（集团）有限责任公司 Cone fit part tolerance distribution method based on simulation technology

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2009107688A1 (en) * 2008-02-28 2009-09-03 三菱重工業株式会社 Method for analyzing torsional vibration of power transmission system, analyzing device, analyzing program, and shafting device between engine and driven device
JP2010121746A (en) * 2008-11-21 2010-06-03 Nsk Ltd Synchronizer ring
CN103279663A (en) * 2013-05-27 2013-09-04 太原科技大学 Method for calculating interference magnitude of double-cone locking disc
CN106202755A (en) * 2016-07-15 2016-12-07 西安交通大学 Electric main shaft structure Optimization Design based on kinetic model and genetic algorithm

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2009107688A1 (en) * 2008-02-28 2009-09-03 三菱重工業株式会社 Method for analyzing torsional vibration of power transmission system, analyzing device, analyzing program, and shafting device between engine and driven device
JP2010121746A (en) * 2008-11-21 2010-06-03 Nsk Ltd Synchronizer ring
CN103279663A (en) * 2013-05-27 2013-09-04 太原科技大学 Method for calculating interference magnitude of double-cone locking disc
CN106202755A (en) * 2016-07-15 2016-12-07 西安交通大学 Electric main shaft structure Optimization Design based on kinetic model and genetic algorithm

Non-Patent Citations (6)

* Cited by examiner, † Cited by third party
Title
JIANMEI WANG 等: "Reliability-based robust design of wind turbine’s shrink disk", 《ENGINEERING PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS, PART C: JOURNAL OF MECHANICAL ENGINEERING SCIENCE》 *
ZEBING BAI 等: "Contact Pressure Algorithm of Multi-Layer Interference Fit Considering Centrifugal Force and Temperature Gradient", 《ENGINEERING RESEARCH CENTER HEAVY MACHINERY MINISTRY OF EDUCATION》 *
何章涛 等: "MW级风力发电机组主轴胀套连接的结构强度分析", 《机械设计》 *
卢军 等: "基于响应面法的双楔角环垫螺栓法兰接头多目标优化研究", 《压力容器》 *
徐俊良 等: "N层过盈联接结合压力算法研究", 《工程设计学报》 *
韩泽光 等: "基于NSGA-Ⅱ的通用多级圆锥-圆柱齿轮减速器的多目标优化设计", 《机械与电子》 *

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110610038A (en) * 2019-09-06 2019-12-24 太原科技大学 Prediction method for friction coefficient of keyless connection joint surface
CN110610038B (en) * 2019-09-06 2022-07-22 太原科技大学 Prediction method for friction coefficient of bonding surface without key connection
CN111523267A (en) * 2020-04-21 2020-08-11 重庆邮电大学 Fan main shaft structure optimization method based on parameterized finite element model
CN111523267B (en) * 2020-04-21 2023-05-23 重庆邮电大学 Fan main shaft structure optimization method based on parameterized finite element model
CN111661360A (en) * 2020-06-23 2020-09-15 安徽航瑞航空动力装备有限公司 Design method of aircraft engine propeller flange conical surface connecting structure
CN112036055A (en) * 2020-07-15 2020-12-04 成都飞机工业（集团）有限责任公司 Cone fit part tolerance distribution method based on simulation technology
CN112036055B (en) * 2020-07-15 2022-07-15 成都飞机工业（集团）有限责任公司 Cone fit part tolerance distribution method based on simulation technology

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