CN109522667A - A kind of Reliability of Mechanical System distribution method based on improvement cost function - Google Patents
A kind of Reliability of Mechanical System distribution method based on improvement cost function Download PDFInfo
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Abstract
The present invention provides a kind of Reliability of Mechanical System distribution method based on improvement cost function, for solving the problems, such as in the prior art to not considering other restraining factors in Reliability Distribution in the reliability design of mechanical system.The reliability allocation methods, initially set up mechanical multi-layer system reliability design model, then system complexity is carried out to the model established and reliability determines, secondly the cost function Nonlinear programming Model of mechanical multi-layer system is established, finally according to the Reliability Distribution principle of system, the solution of Nonlinear programming Model is carried out.The present invention is under the premise of fully considering component complexity, effectively components are improved in the reliability in reliability design stage, safety guarantee is provided for subsequent production military service, simultaneously under reasonable technical conditions and cost conditions, there is important directive significance compared with strong and the higher components of replacement cost during service reliability promotions to military service importance in bullet train gear train assembly.
Description
Technical field
The invention belongs to mechanical engineerings and manufacturing field, and in particular to a kind of mechanical system based on improvement cost function can
By property distribution method.
Background technique
In recent years, the manufacturing process high speed development of mechanical system, becoming increasingly complex of structure, multi-layer.It produces
Mechanical system with high inherent reliability needs in the design process of mechanical system, sets to the reliability of mechanical system
Meter is put forward higher requirements.Largely it was verified that the reliability of product designs first, what product possessed after manufacture
It is inherent reliability.The superiority and inferiority of reliability design generates great influence to the inherent reliability of product.Mechanical system it is reliable
Property be that a particularly important index, components can only at most be protected during mechanical system manufactures during one's term of military service in mechanical system
The product potential reliability formed in card design, and using and in maintenance process, then remaining acquired intrinsic reliable as far as possible
Property.Since each component of complex mechanical system is manufactured according to the scheduled requirement of design, in reliability design rank
Section optimizes each part reliability for the safe important in inhibiting of elevating mechanism system military service.
Reliability Optimum Design method is completely new excellent of one kind for growing up on the basis of optimization routine design method
Change design method, it is organically combined together Reliability Analysis Theory and mathematic programming methods and with optimal method
Carry out a kind of design method of object solving.That is, it using reliability requirement as pursue target or constraint condition,
The optimization reliability of the subsystem under probability meaning is obtained with optimal method.The reliability Optimum Design problem of mechanical system
It is divided into three classes: first is that using reliability index as constraint condition；Second is that using reliability index as optimization aim；Third is that system
Reliability carries out optimum distribution.
In the prior art, to the reliability Optimum Design of mechanical system, usually only consider the reliability requirement of mechanical system,
And ignore other restraining factors, such as expense.
Summary of the invention
The technical problem to be solved by the present invention is to provide a kind of Reliability of Mechanical System distribution based on improvement cost function
Improved cost function is introduced into the Reliability Distribution design of mechanical system, least cost by method, reliability design approach
As optimization aim, the relationship between reliability and expense is balanced, and then is reached system and completed mesh under least cost
Reliability is marked, reliability of effective elevating mechanism system in the reliability design stage provides safe guarantor for subsequent production military service
Barrier.
It can in order to solve the above technical problems, the embodiment of the invention provides a kind of mechanical systems based on improvement cost function
By property distribution method, the distribution method includes the following steps:
Step S11 determines the complexity and reliability of each components of machinery multi-layer system；
Step S12 establishes mechanical multi-layer system reliability model according to identified complexity and reliability；
Step S13 determines aims of systems reliability；
Step S14 calculates the Feasible degree factor for promoting part reliability；
Step S15, based on the reliability model of system, according to aims of systems reliability, each part reliability and
The Feasible degree factor establishes the Nonlinear programming Model based on improvement cost function；
Step S16 solves the Nonlinear programming Model；
Step S17, judges whether the solution reaches locally optimal solution；If having reached, S18 is entered step；If end reaches,
Then it is transferred to step S16；
Step S18, using obtained solution as the part reliability reassignment value of mechanical system.
Further, in the step S12, the mechanical multi-layer system reliability model of the foundation is further building
System-level-subsystem irrespective of size-components grade model.
Further, described to calculate the Feasible degree factor for promoting part reliability in the step S14, according to more multiple
The Reliability Distribution principle that miscellaneous system distributes lower reliability index carries out.
Further, in the step S17, judge whether the solution reaches locally optimal solution, further are as follows: when target is taken
When with reaching current Nonlinear programming Model minimum, the solution is the optimal solution under current reliability distribution state.
Further, in the step S15, the Nonlinear programming Model based on improvement cost function is established, is further wrapped
Include following steps:
Step S151 according to the different degree of components each in mechanical system, technical maturity, standardization level, can be repaired
Property establish traditional three parameter cost functions；
The Feasible degree factor for promoting part reliability is introduced into traditional three parameters expense by step S152
In function, traditional cost function is modified；
Step S153 establishes improvement cost function according to the amendment of tradition cost function described in the Feasible degree factor pair；
Step S154 is based on the improvement cost function, introduces constraint condition, establishes Nonlinear programming Model.
Further, the constraint condition in the step S154 includes: the initial reliability and aims of systems of each components
Reliability.
Further, in the step S14, the Feasible degree factor for promoting part reliability is calculated, further to pass through
Formula (1) is calculated:
In formula (1), fiFor the Feasible degree factor for improving unit reliability, Wi,Ti,Si,PiThe weight of respectively i-th components
It spends, technical maturity, standardization level and maintenanceability, and Wi,Ti,Si,Pi∈[1,10]。
Further, the improved cost function are as follows:
In formula (2), wherein ci(Ri) it is each components in reliability RiRequired cost under effect, RiIt is i-th zero
Reliability after component optimization, Ri,minFor components current reliability, Ri,maxIt is components highest reliability.
Further, the Nonlinear programming Model are as follows:
In formula (3), C is system in reliability RiRequired total cost under effect；RobjFor aims of systems reliability,For the structure function of system reliability model.
According to another aspect of the present invention, a kind of reliability allocation methods for gear train assembly are additionally provided,
The distribution method includes the following steps:
Step S201 determines the complexity and reliability of each components in gear train assembly；
Step S202 establishes component-level-son of gear train assembly according to the complexity of each components and reliability
System-level-system-level reliability model；
Step S203 according to the different degree of gear train assembly components, technical maturity, standardization level, can be repaired
Property, establish traditional three parameter cost functions；
Step S204, according to the complexity of each components of gear train assembly, calculate promote each part reliability can
The row degree factor；
The Feasible degree factor is introduced traditional three parameters cost function, establishes improved expense letter by step S205
Number；
Step S206, using the improved cost function as objective function, with the initial reliability and system of each components
Target reliabilities are constraint condition, establish the Nonlinear programming Model based on improvement cost function；
Step S207 is iterated solution to the Nonlinear programming Model using the bright mesh Multiplier Algorithm of glug, is acquired
Locally optimal solution be the reliability model reliability reassignment value.
Above-mentioned technical proposal of the present invention has the beneficial effect that:
In above scheme, when the other conditions difference of component is little, under the premise of fully considering component complexity, it can tie up
Repair gender gap it is very big when, can effectively promote components reliable using improved cost function Reliability optimization allocation method
Property the design phase reliability, for subsequent production military service safety guarantee is provided.This method can be effectively in reasonable technology item
It is relatively strong to military service importance in bullet train gear train assembly and replacement cost is higher during service under part and cost conditions
Components reliability promotion have important directive significance.
Detailed description of the invention
For the elaboration the embodiment of the present invention being more clear and existing technical solution, below by technical side of the invention
Case illustrates that attached drawing does simple introduction, it is clear that, without creative efforts, ordinary skill people
Member can obtain other attached drawings by this attached drawing.
Fig. 1 is the mechanical multi-layer System Reliability Assignment Method process based on improvement cost function of the embodiment of the present invention
Figure；
Fig. 2 is the foundation machinery multi-layer system reliability model flow chart of the embodiment of the present invention；
Fig. 3 is the foundation of the embodiment of the present invention based on the Nonlinear programming Model flow chart of improvement cost function；
Fig. 4 is application example high speed train gear housing structural schematic diagram of the present invention；
Fig. 5 is three level reliability model structural schematic diagram of application example high speed train gear train assembly of the present invention.
Description of symbols:
401- small bearing bracket；402- pinion shaft；403- air-breather；404- gear box cover；405- earthing or grounding means；406-
Oiling bolt；407- oil gauge；408- oil extraction bolt；The big bearing block of 409-；410- magnetic oil bolt；411- safety bracket；412- slungshot
Protection board.
Specific embodiment
To keep the technical problem to be solved in the present invention, technical solution and advantage clearer, below in conjunction with attached drawing and tool
Body embodiment is described in detail.
The problem of present invention is for the reliability design of mechanical system in the prior art provides one kind and is based on changing
Into cost function Reliability of Mechanical System distribution method, reliability design approach.The Reliability Distribution in mechanical system design stage
It is a multi-objective optimization question with optimization, the present invention finds out with reliability constraint and distributes to each component
Reliability, to achieve the purpose that cost minimization.Wherein, cost function illustrates the relationship between reliability and expense, here
Expense cover manpower, financial resources, the material resources etc. that lifting component reliability to be paid, thus obtain by each cost of parts with
The rule-of-thumb relation that statistical data between reliability is established.Reliability optimization allocation method based on improvement cost function is handle
As optimization aim, the relationship between reliability and expense is balanced least cost, and then reaches system in least cost
Lower completion target reliabilities, the functional relation between expense and each part reliability, as cost function.In cost function
In, amount in need of consideration include the different degrees of system parts, complexity, technical maturity, standardization level, maintenanceability this
Five factors.According to design, the service condition of components system each in mechanical multi-layer system, above five factors are assigned
Divide evaluation.After five factors are evaluated, cost function calculating is carried out.
The reliability allocation methods initially set up mechanical multi-layer system reliability design model, pass through components
Lifetime data or lifetime function acquire the crash rate and reliability of components by Calculation of Reliability formula, acquire each zero
After the reliability of component, part reliability is substituting in reliability model, system complex then is carried out to the model established
Degree and reliability determine, secondly establish three parameter cost function Nonlinear programming Models of mechanical multi-layer system, that is, establish base
In the Reliability Distribution model of improvement cost function, many kinds of parameters such as different degree of last emerging system and reliability, according to being
The Reliability Distribution principle of system carries out the solution of Nonlinear programming Model, that is, reliability distribution model, calculates under least cost
System unit Reliability Distribution situation, thus safety of elevating mechanism system during military service.
Technical solution of the present invention is described in detail below by specific embodiment.
Embodiment
Present embodiments provide a kind of Reliability of Mechanical System distribution method based on improvement cost function.Fig. 1 is shown
The flow diagram of reliability allocation methods described in the present embodiment.As shown in Figure 1, the reliability allocation methods include following step
It is rapid:
Step S11 determines the complexity and reliability of each components of machinery multi-layer system.
The complexity and reliability of each components in this step, it can be understood as the original complex degree of each component and
Reliability.Here the initial reliability of components, during the Nonlinear programming Model based on improvement cost function is established,
Constraint condition as model foundation；Here components original complex degree really, is also used to calculate the Feasible degree factor of reliability.
Step S12 establishes mechanical multi-layer system reliability model according to identified complexity and reliability.
Multi-layer system reliability model in this step is three levels, comprising: system-level, subsystem irrespective of size and components
Grade.
Further, the reliability of components i is R in systemi, then when the system is series model, system is reliable
The structure function of property model is
Fig. 2 show the flow diagram for establishing mechanical multi-layer system reliability model.As shown in Fig. 2, the foundation
Mechanical multi-layer system reliability model includes:
Determine the failure associative mode between the failure function and components of components；
Judge between components whether failure is related: if related, establish failure related reliability model；If part phase
It closes, then establishes disabling portion related reliability model；If uncorrelated, i.e. failure independence then establishes independent failure reliability model.
As described above about the relevant calculation process of components grade, it is equally applicable to subsystem irrespective of size and system-level.
By Calculation of Reliability formula, the crash rate and reliability of components are acquired.In the reliability for acquiring each components
Afterwards, part reliability is substituting in reliability model, by establishing the Reliability Distribution algorithm based on improvement cost function
Reliability Distribution is carried out, distribution principle is provided in the mechanical multi-layer system reliability design stage, can clearly obtain Account Dept
The reliability and system reliability of part grade, by the reliability model of mechanical multi-layer system, for subsequent reliability optimization point
With offer model foundation.Preferably, the crash rate and reliability, can by the lifetime datas of components or lifetime function into
Row calculates.
Step S13 determines aims of systems reliability.
In this step, aims of systems reliability is Robj。
Aims of systems reliability in this step carries out specifically determining or default according to the concrete condition of system.
Step S14 calculates the Feasible degree factor for promoting part reliability.
It is described to calculate the Feasible degree factor for promoting part reliability in this step, it is carried out according to Reliability Distribution principle,
Its principle are as follows: more complex system distributes lower reliability index.
Further, it is described calculate promoted part reliability the Feasible degree factor, further for, pass through formula (1) carry out
It calculates:
In formula (1), fiFor the Feasible degree factor for improving unit reliability, Wi,Ti,Si,PiThe weight of respectively i-th components
It spends, technical maturity, standardization level and maintenanceability, and Wi,Ti,Si,Pi∈[1,10]。
What needs to be explained here is that, it is generally the case that the parameter that each components are related in mechanical system includes: important
Degree, technical maturity, standardization level, maintenanceability, complexity, reliability.
It can thus be seen that this step the complexity of mechanical multi-layer system parts and initial reliability confirmation in,
The Feasible degree for promoting part reliability is re-scaled, by the calculating of the Feasible degree factor, the Feasible degree factor is introduced non-linear
In the establishment process of plan model, thus the reliability of lifting system components.
The components complexity i.e. components influence the probability of thrashing, are lost using i-th of subsystem, j-th of components
Thrashing number caused by imitating and i-th of subsystem failure total degree.The system zero contained in the system complexity i.e. system
The ratio between number of components and system total quantity.Non-Linear Programming by introducing the complexity of system, to the Reliability Distribution of foundation
Model, which improves, reruns, and finally establishes Nonlinear programming Model.
Step S15, based on the reliability model of system, according to aims of systems reliability, each part reliability and
The Feasible degree factor establishes the Nonlinear programming Model based on improvement cost function.
Fig. 3 show the flow diagram that Nonlinear programming Model is established in the present embodiment.As shown in figure 3, further,
The Nonlinear programming Model based on improvement cost function is established described in this step, is included the following steps:
Step S151 according to the different degree of components each in mechanical system, technical maturity, standardization level, can be repaired
Property establish traditional three parameter cost functions.
In a practical situation, required parameter is selected in the foundation of three parameter cost functions according to the needs of actual conditions, and
The citing being not limited in above-mentioned steps.
The Feasible degree factor for promoting part reliability is introduced into traditional three parameters expense by step S152
In function, traditional cost function is modified.
Here the Feasible degree factor, is calculated according to complexity under normal conditions.Given in step S14 here can
The specific calculating process of the row degree factor.
Step S153 establishes improvement cost function according to the amendment of tradition cost function described in the Feasible degree factor pair.
In this step, the improved cost function are as follows:
In formula (2), wherein ci(Ri) it is each components in reliability RiRequired cost under effect, RiIt is i-th zero
Reliability after component optimization, Ri,minFor components current reliability, Ri,maxIt is components highest reliability.
Step S154 is based on the improvement cost function, introduces constraint condition, establishes Nonlinear programming Model.
In this step, the Nonlinear programming Model are as follows:
In formula (3), C is system in reliability RiRequired total cost under effect；RobjFor aims of systems reliability,For the structure function of system reliability model.
Step S16 solves the Nonlinear programming Model.
In this step, by Lagrange multiplier algorithm, solution is iterated to the Nonlinear programming Model.
Step S17, judges whether the solution reaches locally optimal solution；If having reached, S18 is entered step；If end reaches,
Then it is transferred to step S16.
Further, in this step, judge whether the solution reaches locally optimal solution, are as follows: when target expense reaches current
When Nonlinear programming Model minimum, the solution is the optimal solution under current reliability distribution state.
Step S18, using obtained solution as the part reliability reassignment value of mechanical system.
It can be seen from the above the nonlinear model based on improvement cost function, it can be clearly by lifting system reliability
Cost function as objective function, when expense minimum, that is, reach target required by model, while meeting target,
Also ensure the promotion effect of system reliability and part reliability.While promoting part reliability design, also protect
It has demonstrate,proved and has promoted the reliability cost to be paid minimum.
Below by a specific application example, to the mechanical multi-layer system of the present invention based on improvement cost function
System reliability allocation methods are described in detail.This application example provides one by taking the gear train assembly of bullet train as an example
Kind is directed to the reliability allocation methods of gear train assembly.
The gear stage of bullet train gear train assembly is designed, the design method includes: based on improvement cost
Function builds vertical Nonlinear programming Model, carries out Reliability Distribution design to gear train assembly.As shown in figure 4, passing through gear
The Reliability modeling of the components grade of cabinet, bearing, gear, lubricating oil considers that four components are the incoherent situations of failure
Under, carry out train modeling.And then the Nonlinear programming Model based on three parameter cost functions is established, carry out Reliability Distribution
It solves.
Fig. 4 is the present embodiment high speed train gear housing structural schematic diagram.As shown in figure 4, the height in this application example
Fast train gear train assembly includes: small bearing bracket 401, pinion shaft 402, air-breather 403, gear box cover 404, ground connection dress
Set 405, oiling bolt 406, oil gauge 407, oil extraction bolt 408, big bearing block 409, magnetic oil bolt 410, safety bracket 411, slungshot
Protection board 412.
The embodiment of the present invention is directed to the Reliability optimization allocation method of gear train assembly, includes the following steps:
Step S201 determines the complexity and reliability of each components in gear train assembly.
Step S202 establishes component-level-son of gear train assembly according to the complexity of each components and reliability
System-level-system-level reliability model.
In this step, first between sexual intercourse reliable the work relationship of bullet train gear train assembly and components into
Row determines.Bullet train during one's term of military service, for gear-box as its critical component, reliability is directly related to vehicle military service shape
State.According to the practical structures of gearbox system, the reliability model of three hierarchical system of bullet train, i.e. " pinion unit are established
System-gear-box-components grade ", " gear assembly-traction electric machine-components ".Fig. 5 is the present embodiment high speed column
Three hierarchical structure schematic diagram of vehicle gear train assembly reliability model.As shown in figure 5, " the gear train assembly-gear
In case-components grade " reliability model, the components in the components grade include: cabinet, bearing, gear, lubricating oil 4
Components.In order to guarantee the normal operation of gear train assembly, any portion failure of system can all cause whole system to fail.
Subsystem can so be regarded as to concatenated reliability model.Usually assume that the part failure state of system is mutually indepedent
's.The structure function expression formula of the system reliability model of its series model is as follows:
In formula, RsysIt is the probability of system worked well, RiIt is the probability that i-th of components works normally.
Step S203 according to the different degree of gear train assembly components, technical maturity, standardization level, can be repaired
Property, establish traditional three parameter cost functions.Wherein, different degree influences the general of thrashing by the system complexity i.e. components
Rate utilizes thrashing number caused by i-th of subsystem, j-th of element failure and i-th of subsystem failure total degree.It is complicated
Degree is the ratio between the system parts quantity contained in the system and system total quantity.Technical maturity is the current components
Whether production reaches production domesticization or partial domestic.Standardization level refers to the current standard formulation and production standard of the component
Change and formulates.Maintenanceability refers to maintenanceability of components during military service.It technical maturity, standardization level and can tie up
Repairing property is quantified by tax point-score, according to products instruction, carries out 1-10 points of rank scores.
1 CRH6 type bullet train gear train assembly complexity of table and different degree allocation table
| Components | Quantity | Complexity | Different degree |
| Gear housing | 1 | 0.105 | 0.25 |
| Bearing | 4 | 0.421 | 0.25 |
| Gear | 2 | 0.211 | 0.25 |
| Lubricating oil | 2.5 | 0.263 | 0.25 |
2 bullet train gear train assembly expert analysis mode allocation table of table
It will lead to the failure of gear train assembly since each components fail in systems, to the weight of each components
It spends and is considered of the utmost importance and is equal.
Step S204, according to the complexity of each components of gear train assembly, calculate promote each part reliability can
The row degree factor.
It carries out calculating the Feasible degree factor for promoting part reliability by formula (1):
In formula (1), fiFor the Feasible degree factor for improving unit reliability, Wi,Ti,Si,PiThe weight of respectively i-th components
It spends, technical maturity, standardization level and maintenanceability, and Wi,Ti,Si,Pi∈[1,10]。
The Feasible degree factor is introduced traditional three parameters cost function, establishes improved expense letter by step S205
Number.
The improved cost function are as follows:
In formula (2), wherein ci(Ri) it is each components in reliability RiRequired cost under effect, RiIt is i-th zero
Reliability after component optimization, Ri,minFor components current reliability, Ri,maxIt is components highest reliability.
Step S206, using the improved cost function as objective function, with the initial reliability and system of each components
Target reliabilities are constraint condition, establish the Nonlinear programming Model based on improvement cost function.
In this step, using cost function constrained optimization method, series connection is in the reliability for considering each components of system
In the case where mode, in conjunction with cost function, the Nonlinear programming Model of system is established.
Specifically, the Nonlinear programming Model are as follows:
In formula (3), C is system in reliability RiRequired total cost under effect.
Step S207 is iterated solution to the Nonlinear programming Model using Lagrange multiplier algorithm, is acquired
Locally optimal solution be the reliability model reliability reassignment value.
In this step, using Lagrangian and K-T condition, nonlinear model is converted, is finally acquired excellent
Reliability after change.The optimization allocation result finally acquired is as follows: gear housing reliability is 0.95107, and bearing reliability is
0.98654, reliability of gears 0.97691, lubricating oil 0.98186.
The mechanical multi-layer system based on improvement cost function of the embodiment of the present invention it can be seen from above-mentioned technical proposal
Reliability allocation methods, when the other conditions difference of component is little, under the premise of fully considering component complexity, maintenanceability
When difference is very big, components can be effectively promoted using improved cost function Reliability optimization allocation method and are set in reliability
The reliability in meter stage provides safety guarantee for subsequent production military service.This method can effectively in reasonable technical conditions and
Under cost conditions, to military service importance in bullet train gear train assembly compared with strong and replacement cost higher zero during service
The reliability promotion of component has important directive significance.
The above is a preferred embodiment of the present invention, it is noted that for those skilled in the art
For, without departing from the principles of the present invention, several improvements and modifications can also be made, these improvements and modifications
It should be regarded as protection scope of the present invention.
Claims (10)
1. a kind of Reliability of Mechanical System distribution method based on improvement cost function, which is characterized in that the distribution method packet
Include following steps:
Step S11 determines the complexity and reliability of each components of machinery multi-layer system；
Step S12 establishes mechanical multi-layer system reliability model according to identified complexity and reliability；
Step S13 determines aims of systems reliability；
Step S14 calculates the Feasible degree factor for promoting part reliability；
Step S15, based on the reliability model of system, according to aims of systems reliability, each part reliability and described
The Feasible degree factor establishes the Nonlinear programming Model based on improvement cost function；
Step S16 solves the Nonlinear programming Model；
Step S17, judges whether the solution reaches locally optimal solution；If having reached, S18 is entered step；If end reaches, turn
Enter step S16；
Step S18, using obtained solution as the part reliability reassignment value of mechanical system.
2. reliability allocation methods according to claim 1, which is characterized in that in the step S12, the foundation is mechanical
Multi-layer system reliability model is further building system-level-subsystem irrespective of size-components grade model.
3. reliability allocation methods according to claim 1, which is characterized in that in the step S14, the calculating is promoted
The Feasible degree factor of part reliability distributes the Reliability Distribution principle of lower reliability index according to more complex system
It carries out.
4. reliability allocation methods according to claim 1, which is characterized in that in the step S17, judge that the solution is
It is no to reach locally optimal solution, further are as follows: when target expense reaches current Nonlinear programming Model minimum, the solution is current
Optimal solution under Reliability Distribution state.
5. reliability allocation methods according to any one of claims 1 to 4, which is characterized in that in the step S15, build
Be based on the Nonlinear programming Model of improvement cost function, further comprises following steps:
Step S151 is built according to different degree, technical maturity, standardization level, the maintenanceability of components each in mechanical system
Write a biography system three parameter cost functions；
The Feasible degree factor for promoting part reliability is introduced into traditional three parameters cost function by step S152
In, traditional cost function is modified；
Step S153 establishes improvement cost function according to the amendment of tradition cost function described in the Feasible degree factor pair；
Step S154 is based on the improvement cost function, introduces constraint condition, establishes Nonlinear programming Model.
6. reliability allocation methods according to claim 5, which is characterized in that the constraint condition packet in the step S154
It includes: the initial reliability and aims of systems reliability of each components.
7. reliability allocation methods according to claim 5, which is characterized in that in the step S14, calculate and promote zero
The Feasible degree factor of part reliability, further to be calculated by formula (1):
In formula (1), fiFor the Feasible degree factor for improving unit reliability, Wi,Ti,Si,PiRespectively i-th components it is important
Degree, technical maturity, standardization level and maintenanceability, and Wi,Ti,Si,Pi∈[1,10]。
8. reliability allocation methods according to claim 7, which is characterized in that the improved cost function are as follows:
In formula (2), wherein ci(Ri) it is each components in reliability RiRequired cost under effect, RiIt is that i-th of components is excellent
Reliability after change, Ri,minFor components current reliability, Ri,maxIt is components highest reliability.
9. reliability allocation methods according to claim 8, which is characterized in that the Nonlinear programming Model are as follows:
In formula (3), C is system in reliability RiRequired total cost under effect；RobjFor aims of systems reliability,For the structure function of system reliability model.
10. a kind of reliability allocation methods for gear train assembly, which is characterized in that the distribution method includes following step
It is rapid:
Step S201 determines the complexity and reliability of each components in gear train assembly；
Step S202 establishes component-level-subsystem of gear train assembly according to the complexity of each components and reliability
Grade-system-level reliability model；
Step S203 is built according to the different degree of gear train assembly components, technical maturity, standardization level, maintenanceability
Write a biography system three parameter cost functions；
Step S204 calculates the Feasible degree for promoting each part reliability according to the complexity of each components of gear train assembly
The factor；
The Feasible degree factor is introduced traditional three parameters cost function, establishes improved cost function by step S205；
Step S206, using the improved cost function as objective function, with the initial reliability and aims of systems of each components
Reliability is constraint condition, establishes the Nonlinear programming Model based on improvement cost function；
Step S207 is iterated solution, obtained office to the Nonlinear programming Model using the bright mesh Multiplier Algorithm of glug
Portion's optimal solution is the reliability reassignment value of the reliability model.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110322148A (en) * | 2019-07-05 | 2019-10-11 | 江苏徐工工程机械研究院有限公司 | A kind of multi-layer mission reliability distribution method and system |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US8643533B1 (en) * | 2010-09-28 | 2014-02-04 | Rockwell Collins, Inc. | Altitude sensor system |
| CN103944357A (en) * | 2014-04-17 | 2014-07-23 | 华南理工大学 | Power converter failure rate distribution method based on optimized cost function |
| CN104298794A (en) * | 2013-07-16 | 2015-01-21 | 湖北文理学院 | Reliability allocation method for engine crank connecting rod mechanism |
-
2018
- 2018-11-28 CN CN201811433110.1A patent/CN109522667A/en active Pending
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US8643533B1 (en) * | 2010-09-28 | 2014-02-04 | Rockwell Collins, Inc. | Altitude sensor system |
| CN104298794A (en) * | 2013-07-16 | 2015-01-21 | 湖北文理学院 | Reliability allocation method for engine crank connecting rod mechanism |
| CN103944357A (en) * | 2014-04-17 | 2014-07-23 | 华南理工大学 | Power converter failure rate distribution method based on optimized cost function |
Non-Patent Citations (3)
| Title |
|---|
| 刘飞等: "基于费用函数的系统可靠性优化分配方法", 《机械设计与制造》 * |
| 胡晓晨: "航空发动机与汽车变速器可靠性分配", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
| 高海超: "机械系统可靠性优化分配与软件开发", 《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110322148A (en) * | 2019-07-05 | 2019-10-11 | 江苏徐工工程机械研究院有限公司 | A kind of multi-layer mission reliability distribution method and system |
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