CN108664740A - A kind of modeling method for shipboard aircraft catapult gear availability - Google Patents
A kind of modeling method for shipboard aircraft catapult gear availability Download PDFInfo
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Abstract
The present invention relates to a kind of modeling methods for shipboard aircraft catapult gear availability.The modeling method focuses on the influence of feedback, maintenance delay and duration to catapult-launching gear availability, and considers the comprehensive function of cycled recondition, prophylactic repair and complete maintenance different mode.Catapult-launching gear availability dynamic changing process is modeled with system dynamics, makes up the deficiency that conventional availability modeling can only obtain Static State Index.When the ratio recurrence dynamic of different maintenance models adjusts, which can quickly provide the dynamic response of catapult-launching gear availability, provide theoretical foundation to improve catapult-launching gear availability, and then promote the fight capability of aircraft carrier.The present invention confirms the correctness and validity of modeling method by emulation experiment.
Description
(1) technical field
The present invention is a kind of modeling method for shipboard aircraft catapult gear availability, specifically a kind of three kinds of fusion
The modeling method of the shipboard aircraft catapult gear availability based on system dynamics of maintenance model.
(2) background technology
With the fast development of China's sea power, the design and use of aircraft carrier (aircraft carrier) cause more and more extensive
Concern.And key equipment of the catapult-launching gear as aircraft carrier, the kinetic force that goes out of carrier-borne aircraft is directly influenced, to influence the work of aircraft carrier
War ability.Observed result of the U.S. " Nimitz " number aircraft carrier in manoeuvre in 1997 shows if 1 catapult-launching gear is not rapid
Be ready to, then would have to reduce sortie to complete the recycling of carrier-borne aircraft.It can increase when setting out more sorties
This possibility, baseline is that 2 catapult-launching gears break down, especially when wherein 1 catapult-launching gear is centrally located, this
It may hinder into high-strength working rhythm to set out the progress of recycling operation.Therefore, the available of shipboard aircraft catapult gear is studied
Degree modeling method has important theory and real value.
Currently, most of documents are to have studied the equipment such as catapult-launching gear based on mathematical statistics method and probability theory method can be used
The modeling problem of degree.These classical modeling methods are built upon on numerous assumed conditions such as device characteristics, correlation,
The case where a variety of maintenance models are combined is not fully taken into account simultaneously.Zhang Xiaohong, 2015 are based on equipment prophylactic repair and spare part
The combined optimization of Ordering, the problem of having studied equipment availability.Li Ling, 2013 have studied the acceleration degenerative process of equipment with
And Strategies of Maintenance optimization problem.J.Lam, 2015 devise optimal prophylactic repair opportunity and strategy based on equipment use state.
B.Castanier, 2005 have studied the tandeming problems of acyclic equipment prophylactic repair.A.Xanthopoulos, 2017 bases
The prophylactic repair strategy of Kanban systems is had studied in degenerative process.W.Zhu, 2015 have studied group occlusal wear and impact failure system
The prophylactic repair problem of system.S.Bouzidi-Hassini, 2015 consider human resources constraint, devise Joint Production and dimension
Shield plan.M.Compare, 2015 have studied the optimized maintenance genetic algorithm based on state under condition of uncertainty.H.Hong, 2014
For random degeneration system, optimum state maintenance decision is had studied.Document above is mostly based on the research of equipment availability
Stringent assumed condition often has ignored feedback problem, repair time and the limitation for waiting for the repair time in practice.These texts
The calculating in Static State Index cannot be only focused on from the dynamic response process of the entire closed-loop system of internal analysis mostly by offering, these limits
System is so that traditional equipment availability research method is difficult to meet the needs of present military developments.
(3) invention content
The purpose of the present invention is to provide a kind of modeling methods for shipboard aircraft catapult gear availability.
The object of the present invention is achieved like this：
The present invention a kind of modeling method for shipboard aircraft catapult gear availability include：Fault-free catapult-launching gear module
(1), degeneration catapult-launching gear module (2), failure catapult-launching gear module (3), cycled recondition catapult-launching gear module (4) are examined completely
Repair catapult-launching gear module (5), prophylactic repair catapult-launching gear module (6), catapult-launching gear deterioration velocity module (7), catapult-launching gear event
Hinder velocity module (8), catapult-launching gear preparatory period property overhauls velocity module (9), and catapult-launching gear carries out cycled recondition rate mould
Block (10), catapult-launching gear prepare maintenance velocity module (11) completely, and catapult-launching gear carries out maintenance velocity module (12) completely, ejection
Device prepares prophylactic repair velocity module (13), and catapult-launching gear carries out prophylactic repair velocity module (14).In cycled recondition, in advance
Under anti-maintenance and completely maintenance different mode, shipboard aircraft catapult gear availability is modeled using system dynamics method, it is whole
Modeling process includes fault-free catapult-launching gear quantity, degeneration catapult-launching gear quantity, failure catapult-launching gear quantity, prophylactic repair ejection
Device quantity, cycled recondition catapult-launching gear quantity and complete maintenance 6 state variables of catapult-launching gear quantity and catapult-launching gear
Prepare prophylactic repair rate, catapult-launching gear preparatory period property maintenance rate, catapult-launching gear and prepares maintenance rate, catapult-launching gear completely
Deterioration velocity, catapult-launching gear failure rate, catapult-launching gear carry out prophylactic repair rate, catapult-launching gear carries out cycled recondition rate
Maintenance 8 rate variables of rate completely are carried out with catapult-launching gear, obtain final catapult-launching gear usability model.
The fault-free catapult-launching gear quantity of fault-free catapult-launching gear module (1) and catapult-launching gear average life span pass to ejection
Device deterioration velocity module (7), the catapult-launching gear deterioration velocity being calculated pass to degeneration catapult-launching gear module (2), ejection
Device deterioration velocity obtains degeneration catapult-launching gear quantity by accumulated time, and degeneration catapult-launching gear quantity is delivered separately to ejection dress
It sets failure velocity module (8), catapult-launching gear preparatory period property maintenance velocity module (9) and catapult-launching gear and prepares prophylactic repair rate
Module (13).Ejection dress is calculated according to prophylactic repair ratio, cycled recondition time interval and degeneration catapult-launching gear quantity
Preparatory period property maintenance rate is set, which passes to cycled recondition catapult-launching gear module (4), and accumulation obtains cycled recondition
Catapult-launching gear quantity continues to pass to catapult-launching gear progress cycled recondition velocity module (10), be launched according to cycled recondition
Device quantity, cycled recondition rate and cycled recondition execution time are calculated catapult-launching gear and carry out cycled recondition rate,
The rate feeds back to fault-free catapult-launching gear module (1) by accumulation.According to prophylactic repair ratio, prophylactic repair delay, prevent
Inspection and repair system level and degeneration catapult-launching gear quantity are calculated catapult-launching gear and prepare prophylactic repair rate, which passes to pre-
Anti- maintenance catapult-launching gear module (6), accumulation obtain prophylactic repair catapult-launching gear quantity, continue to pass to catapult-launching gear and be prevented
Velocity module (14) is overhauled, according to prophylactic repair catapult-launching gear quantity, prophylactic repair rate, prophylactic repair is horizontal and prophylactic repair is held
The row time is calculated catapult-launching gear and carries out prophylactic repair rate, which feeds back to fault-free catapult-launching gear module by accumulation
(1).It is calculated according to prophylactic repair ratio, prophylactic repair delay, prophylactic repair detection level and degeneration catapult-launching gear quantity
Catapult-launching gear failure rate, the rate pass to failure catapult-launching gear module (3), and accumulation obtains failure catapult-launching gear quantity, after
It resumes and passs catapult-launching gear preparation maintenance velocity module (11) completely, according to fault detect level and failure catapult-launching gear quantity meter
Calculation obtains catapult-launching gear and prepares maintenance rate completely, which passes to maintenance catapult-launching gear module (5) completely, and accumulation has obtained
Full inspection repaiies catapult-launching gear quantity, continues to pass to catapult-launching gear progress maintenance velocity module (12) completely, according to complete maintenance bullet
Injection device quantity, completely maintenance execute the time and complete maintenance rate is calculated catapult-launching gear and carries out maintenance rate completely, the speed
Rate feeds back to fault-free catapult-launching gear module (1) by accumulation, final to realize the modeling of catapult-launching gear availability.
It is based on catapult-launching gear availability modeling method of the invention：
1) the fault-free catapult-launching gear quantity of fault-free catapult-launching gear module and catapult-launching gear average life span pass to ejection
Device deterioration velocity module, the catapult-launching gear deterioration velocity being calculated pass to degeneration catapult-launching gear module, and catapult-launching gear moves back
Change rate and obtain degeneration catapult-launching gear quantity by accumulated time, degeneration catapult-launching gear quantity is delivered separately to catapult-launching gear failure
Velocity module, catapult-launching gear preparatory period property maintenance velocity module and catapult-launching gear prepare prophylactic repair velocity module；
2) ejection dress is calculated according to prophylactic repair ratio, cycled recondition time interval and degeneration catapult-launching gear quantity
Preparatory period property maintenance rate is set, which passes to cycled recondition catapult-launching gear module, and accumulation obtains cycled recondition bullet
Injection device quantity continues to pass to catapult-launching gear progress cycled recondition velocity module, according to cycled recondition catapult-launching gear number
Amount, cycled recondition rate and cycled recondition execution time are calculated catapult-launching gear and carry out cycled recondition rate, the rate
Fault-free catapult-launching gear module is fed back to by accumulation；
3) according to prophylactic repair ratio, prophylactic repair delay, prophylactic repair detection level and degeneration catapult-launching gear quantity meter
Calculation obtains catapult-launching gear and prepares prophylactic repair rate, which passes to prophylactic repair catapult-launching gear module, and accumulation is prevented
Catapult-launching gear quantity is overhauled, continues to pass to catapult-launching gear progress prophylactic repair velocity module, according to prophylactic repair catapult-launching gear
Quantity, prophylactic repair rate, prophylactic repair is horizontal and the prophylactic repair execution time is calculated catapult-launching gear and carries out prophylactic repair speed
Rate, the rate feed back to fault-free catapult-launching gear module by accumulation；
4) according to prophylactic repair ratio, prophylactic repair delay, prophylactic repair detection level and degeneration catapult-launching gear quantity meter
Calculation obtains catapult-launching gear failure rate, which passes to failure catapult-launching gear module, and accumulation obtains failure catapult-launching gear quantity,
Continue to pass to catapult-launching gear preparation maintenance velocity module completely, be calculated according to fault detect level and failure catapult-launching gear quantity
It obtains catapult-launching gear and prepares maintenance rate completely, which passes to maintenance catapult-launching gear module, accumulation completely and examined completely
Catapult-launching gear quantity is repaiied, continues to pass to catapult-launching gear progress maintenance velocity module completely, according to complete maintenance catapult-launching gear number
Amount, completely maintenance execute the time and complete maintenance rate is calculated catapult-launching gear and carries out maintenance rate completely, and the rate is by tired
Product feeds back to fault-free catapult-launching gear module, final to realize the modeling of catapult-launching gear availability.
The advantages of the invention, is in the modeling process to shipboard aircraft catapult gear availability, it is contemplated that feedback, maintenance are prolonged
When and duration restrictive condition so that the model more closing to reality situation.After given primary condition, it is based on system dynamics
Catapult-launching gear usability model can embody dynamic response process, be conducive to dynamic response performance carry out quantitative analysis, together
When give final Static State Index.For the modeling method of the present invention compared with similar modeling method, modeling factors are more comprehensive, real
The quantitative analysis of dynamic response process is showed.The present invention demonstrates the correctness and validity of modeling method by emulation experiment.
(4) it illustrates
Fig. 1 is a kind of overall construction drawing for shipboard aircraft catapult gear availability modeling method；
Fig. 2 is the system dynamics cause-and-effect diagram of catapult-launching gear usability model；
Fig. 3 is available catapult-launching gear Number dynamics change curve；
Fig. 4 is the dynamic changing curve of catapult-launching gear availability.
The device that each number represents in Fig. 1 is as follows：1-fault-free catapult-launching gear module；2-degeneration catapult-launching gear moulds
Block；3-failure catapult-launching gear modules；4-cycled recondition catapult-launching gear modules；5-overhaul catapult-launching gear module completely；6—
Prophylactic repair catapult-launching gear module；7-catapult-launching gear deterioration velocity modules；8-catapult-launching gear failure velocity modules；9-ejections
Device preparatory period property overhauls velocity module；10-catapult-launching gears carry out cycled recondition velocity module；11-catapult-launching gears are accurate
The standby velocity module of maintenance completely；12-catapult-launching gears carry out maintenance velocity module completely；13-catapult-launching gears prepare prophylactic repair
Velocity module；14-catapult-launching gears carry out prophylactic repair velocity module.
(5) specific implementation mode
The present invention will be described in detail below：
As shown in Figure 1, a kind of modeling method for shipboard aircraft catapult gear availability of the present invention includes fault-free bullet
Injection device module (1), degeneration catapult-launching gear module (2), failure catapult-launching gear module (3), cycled recondition catapult-launching gear module
(4), complete maintenance catapult-launching gear module (5), prophylactic repair catapult-launching gear module (6), catapult-launching gear deterioration velocity module (7),
Catapult-launching gear failure velocity module (8), catapult-launching gear preparatory period property overhaul velocity module (9), and catapult-launching gear carries out periodically
Velocity module (10) is overhauled, catapult-launching gear prepares maintenance velocity module (11) completely, and catapult-launching gear carries out maintenance rate mould completely
Block (12), catapult-launching gear prepare prophylactic repair velocity module (13), and catapult-launching gear carries out prophylactic repair velocity module (14).
Overall structure is as shown in Fig. 1, the fault-free catapult-launching gear quantity I of fault-free catapult-launching gear module (1) and ejection
Device average life span AL passes to catapult-launching gear deterioration velocity module (7), the catapult-launching gear deterioration velocity r being calculated4It transmits
To degeneration catapult-launching gear module (2), catapult-launching gear deterioration velocity obtains degeneration catapult-launching gear amount R by accumulated time, degenerates
Catapult-launching gear quantity is delivered separately to catapult-launching gear failure velocity module (8), catapult-launching gear preparatory period property maintenance velocity module
(9) and catapult-launching gear prepares prophylactic repair velocity module (13).According to prophylactic repair ratio K, cycled recondition time interval Ti
Catapult-launching gear preparatory period property maintenance rate r is calculated with degeneration catapult-launching gear amount R2, which passes to periodical inspection
Catapult-launching gear module (4) is repaiied, accumulation obtains cycled recondition catapult-launching gear quantity NT, continue to pass to the catapult-launching gear progress period
Property maintenance velocity module (10), according to cycled recondition catapult-launching gear quantity NT, cycled recondition rate u2It is executed with cycled recondition
Time t2Catapult-launching gear is calculated and carries out cycled recondition rate v2, which feeds back to fault-free catapult-launching gear by accumulation
Module (1).According to prophylactic repair ratio K, prophylactic repair delay T1, prophylactic repair detection level l1With degeneration catapult-launching gear amount R
Catapult-launching gear is calculated and prepares prophylactic repair rate r1, which passes to prophylactic repair catapult-launching gear module (6), accumulates
To prophylactic repair catapult-launching gear quantity NC, continue to pass to catapult-launching gear progress prophylactic repair velocity module (14), according to prevention
Overhaul catapult-launching gear quantity NC, prophylactic repair rate u1, the horizontal l of prophylactic repair3Time t is executed with prophylactic repair1Ejection is calculated
Device carries out prophylactic repair rate v1, which feeds back to fault-free catapult-launching gear module (1) by accumulation.According to prophylactic repair
Ratio K, prophylactic repair delay T1, prophylactic repair detection level l1Catapult-launching gear failure is calculated with degeneration catapult-launching gear amount R
Rate r5, which passes to failure catapult-launching gear module (3), and accumulation obtains failure catapult-launching gear quantity B, continues to pass to bullet
Injection device prepares maintenance velocity module (11) completely, according to the horizontal l of fault detect2It is calculated with failure catapult-launching gear quantity B
Catapult-launching gear prepares maintenance rate r completely3, which passes to overhauls catapult-launching gear module (5) completely, accumulates and is examined completely
Repair catapult-launching gear quantity NB, continue to pass to catapult-launching gear progress maintenance velocity module (12) completely, according to complete maintenance ejection
Device quantity NB, completely maintenance execute time t3With complete maintenance rate u3Catapult-launching gear is calculated and carries out maintenance rate v completely3,
The rate feeds back to fault-free catapult-launching gear module (1) by accumulation, final to realize the modeling of catapult-launching gear availability.
In the above process, there are 6 state variables, respectively fault-free catapult-launching gear quantity I (t), degeneration catapult-launching gear
Amount R (t), failure catapult-launching gear quantity B (t), prophylactic repair catapult-launching gear quantity NC(t), cycled recondition catapult-launching gear number
Measure NT(t) and completely catapult-launching gear quantity N is overhauledB(t)；There are 8 rate variables, respectively catapult-launching gear prepares prophylactic repair
Rate r1(t), catapult-launching gear preparatory period property maintenance rate r2(t), catapult-launching gear prepares maintenance rate r completely3(t), ejection dress
Set deterioration velocity r4(t), catapult-launching gear failure rate r5(t), catapult-launching gear carries out prophylactic repair rate v1(t), catapult-launching gear into
Row cycled recondition rate v2(t) and catapult-launching gear carries out maintenance rate v completely3(t).Wherein, t indicates the time at current time.
Based on system dynamics, the system dynamics cause-and-effect diagram of catapult-launching gear usability model is as shown in Fig. 2, its state side
Journey is as follows
I (t)=I (t- Δs t)+[ν1(t-Δt)+ν2(t-Δt)+ν3(t-Δt)-r4(t-Δt)]·Δt
R (t)=R (t- Δs t)+[r4(t-Δt)-r1(t-Δt)-r2(t-Δt)-r5(t-Δt)]·Δt
B (t)=B (t- Δs t)+[r5(t-Δt)-r3(t-Δt)]·Δt
NC(t)=NC(t-Δt)+[r1(t-Δt)-ν1(t-Δt)]·Δt
NT(t)=NT(t-Δt)+[r2(t-Δt)-ν2(t-Δt)]·Δt
NB(t)=NB(t-Δt)+[r3(t-Δt)-ν3(t-Δt)]·Δt
Wherein, Δ t indicates sampling time interval.
Since state variable is accumulated to obtain by rate variable, the rate equation in the above process is
r1(t)=l1R(t)K/T1
r2(t)=(1-K) R (t)/Ti
r3(t)=l2B(t)
r4(t)=I (t)/AL
r5(t)=(1-l1)R(t)K/(T1+T2)
ν1(t)=l3u1NC(t)/t1
ν2(t)=u2NT(t)/t2
ν3(t)=u3NB(t)/t3
Thus state equation can be addressed further under for
I (t)=[AL- Δs t] r4(t-Δt)+[ν1(t-Δt)+ν2(t-Δt)+ν3(t-Δt)]·Δt
It may finally obtain the relationship between 6 state variables and 8 rate variables
Final catapult-launching gear usability model is
U (t)=I (t)/(R (0)+B (0)+I (0)+NC(0)+NB(0)+NT(0))
=(AL- Δ t) r4(t-Δt)+[ν1(t-Δt)+ν2(t-Δt)+ν3(t-Δt)]·Δt
/(R(0)+B(0)+I(0)+NC(0)+NB(0)+NT(0))
Wherein, U (t) indicates catapult-launching gear availability.Under original state, catapult-launching gear fault-free normal work, potential event
Barrier and service requirements not yet generate, initial degeneration catapult-launching gear amount R (0)=0, initial failure catapult-launching gear quantity B (0)
=0, initial fault-free catapult-launching gear quantity is equal to the initial number of catapult-launching gear, i.e. I (0)=4, initial prophylactic repair bullet
Injection device quantity NC(0)=0, initial cycled recondition catapult-launching gear quantity NT(0)=0, initial complete maintenance catapult-launching gear
Quantity NB(0)=0.
Simulation result is shown in attached drawing 3- Fig. 4.
By to can be seen that in catapult-launching gear usability model proposed by the present invention after simulation curve and data analysis
Under, Fig. 3 and Fig. 4 show the increase with prophylactic repair ratio, can be consequently increased with catapult-launching gear quantity, it is seen that increase and prevent
Maintenance ratio can use catapult-launching gear quantity and catapult-launching gear availability when can improve stable state.When stable state, prophylactic repair ratio is
When 10%, it is 3.82 that can use catapult-launching gear quantity, and catapult-launching gear availability is 95.51%；When prophylactic repair ratio is 90%,
It is 3.96 that catapult-launching gear quantity, which can be used, increases by 0.14, catapult-launching gear availability is 98.94%, improves 3.43%.With pre-
The increase of anti-maintenance ratio, can be increased speed with catapult-launching gear quantity and be gradually reduced, therefore, if it is considered that economy and operation are held
The problems such as continuous property, prophylactic repair ratio are taken as 50% preferably, and it is 3.94 that can use catapult-launching gear quantity at this time, and catapult-launching gear is available
Degree is 98.39%, compared with prophylactic repair ratio is 10%, catapult-launching gear quantity can be used to increase by 0.12, catapult-launching gear is available
Degree improves 2.88%, improves more；Meanwhile compared with prophylactic repair ratio is 90%, few 0.02 can be built with catapult-launching gear quantity
Portion, catapult-launching gear availability reduce by 0.55%, reduce less.Therefore, when prophylactic repair ratio is taken as 50%, ejection dress can be used
It sets quantity and catapult-launching gear availability and prophylactic repair ratio is taken as being closer to when 90%, but economy and operation duration
More preferably.Demonstrate the correctness and validity of proposed shipboard aircraft catapult gear availability modeling method.
Claims (5)
1. a kind of modeling method for shipboard aircraft catapult gear availability, including fault-free catapult-launching gear module (1), degeneration bullet
Injection device module (2), failure catapult-launching gear module (3), cycled recondition catapult-launching gear module (4) overhaul catapult-launching gear completely
Module (5), prophylactic repair catapult-launching gear module (6), catapult-launching gear deterioration velocity module (7), catapult-launching gear failure velocity module
(8), catapult-launching gear preparatory period property maintenance velocity module (9), catapult-launching gear carry out cycled recondition velocity module (10), ejection
Device prepares maintenance velocity module (11) completely, and catapult-launching gear carries out maintenance velocity module (12) completely, and catapult-launching gear prepares pre-
Anti- maintenance velocity module (13), catapult-launching gear carry out prophylactic repair velocity module (14), in cycled recondition, prophylactic repair and complete
Full inspection is repaiied under different mode, is modeled to shipboard aircraft catapult gear availability using system dynamics method, Holistic modeling process packet
Include fault-free catapult-launching gear quantity, degeneration catapult-launching gear quantity, failure catapult-launching gear quantity, prophylactic repair catapult-launching gear quantity,
Cycled recondition catapult-launching gear quantity and completely maintenance 6 state variables of catapult-launching gear quantity prepare prophylactic repair with catapult-launching gear
Rate, catapult-launching gear preparatory period property maintenance rate, catapult-launching gear prepare maintenance rate, catapult-launching gear deterioration velocity, bullet completely
Injection device failure rate, catapult-launching gear carry out prophylactic repair rate, catapult-launching gear carries out cycled recondition rate and catapult-launching gear
Maintenance 8 rate variables of rate completely are carried out, final catapult-launching gear usability model is obtained, it is characterised in that：
The fault-free catapult-launching gear quantity of fault-free catapult-launching gear module (1) and catapult-launching gear average life span pass to catapult-launching gear
Deterioration velocity module (7), the catapult-launching gear deterioration velocity being calculated pass to degeneration catapult-launching gear module (2), catapult-launching gear
Deterioration velocity obtains degeneration catapult-launching gear quantity by accumulated time, and degeneration catapult-launching gear quantity is delivered separately to catapult-launching gear event
Hinder velocity module (8), catapult-launching gear preparatory period property maintenance velocity module (9) and catapult-launching gear and prepares prophylactic repair velocity module
(13)；
Catapult-launching gear is calculated according to prophylactic repair ratio, cycled recondition time interval and degeneration catapult-launching gear quantity to prepare
Cycled recondition rate, the rate pass to cycled recondition catapult-launching gear module (4), and accumulation obtains cycled recondition ejection dress
Quantity is set, continues to pass to catapult-launching gear progress cycled recondition velocity module (10), according to cycled recondition catapult-launching gear number
Amount, cycled recondition rate and cycled recondition execution time are calculated catapult-launching gear and carry out cycled recondition rate, the rate
Fault-free catapult-launching gear module (1) is fed back to by accumulation；
It is calculated according to prophylactic repair ratio, prophylactic repair delay, prophylactic repair detection level and degeneration catapult-launching gear quantity
Catapult-launching gear prepares prophylactic repair rate, which passes to prophylactic repair catapult-launching gear module (6), and accumulation obtains prophylactic repair
Catapult-launching gear quantity continues to pass to catapult-launching gear progress prophylactic repair velocity module (14), according to prophylactic repair catapult-launching gear
Quantity, prophylactic repair rate, prophylactic repair is horizontal and the prophylactic repair execution time is calculated catapult-launching gear and carries out prophylactic repair speed
Rate, the rate feed back to fault-free catapult-launching gear module (1) by accumulation；
It is calculated according to prophylactic repair ratio, prophylactic repair delay, prophylactic repair detection level and degeneration catapult-launching gear quantity
Catapult-launching gear failure rate, the rate pass to failure catapult-launching gear module (3), and accumulation obtains failure catapult-launching gear quantity, after
It resumes and passs catapult-launching gear preparation maintenance velocity module (11) completely, according to fault detect level and failure catapult-launching gear quantity meter
Calculation obtains catapult-launching gear and prepares maintenance rate completely, which passes to maintenance catapult-launching gear module (5) completely, and accumulation has obtained
Full inspection repaiies catapult-launching gear quantity, continues to pass to catapult-launching gear progress maintenance velocity module (12) completely, according to complete maintenance bullet
Injection device quantity, completely maintenance execute the time and complete maintenance rate is calculated catapult-launching gear and carries out maintenance rate completely, the speed
Rate feeds back to fault-free catapult-launching gear module (1) by accumulation, final to realize the modeling of catapult-launching gear availability.
2. a kind of modeling method for shipboard aircraft catapult gear availability according to claim 1, it is characterised in that：Institute
The fault-free catapult-launching gear quantity stated, degeneration catapult-launching gear quantity, failure catapult-launching gear quantity, prophylactic repair catapult-launching gear number
The expression formula of amount, cycled recondition catapult-launching gear quantity and maintenance catapult-launching gear quantity completely is as follows：
Based on system dynamics, the expression formula of fault-free catapult-launching gear quantity I (t) is
I (t)=I (t- Δs t)+[ν1(t-Δt)+ν2(t-Δt)+ν3(t-Δt)-r4(t-Δt)]·Δt
The expression formula of degeneration catapult-launching gear amount R (t) is
R (t)=R (t- Δs t)+[r4(t-Δt)-r1(t-Δt)-r2(t-Δt)-r5(t-Δt)]·Δt
The expression formula of failure catapult-launching gear quantity B (t) is
B (t)=B (t- Δs t)+[r5(t-Δt)-r3(t-Δt)]·Δt
Prophylactic repair catapult-launching gear quantity NC(t) expression formula is
NC(t)=NC(t-Δt)+[r1(t-Δt)-ν1(t-Δt)]·Δt
Cycled recondition catapult-launching gear quantity NT(t) expression formula is
NT(t)=NT(t-Δt)+[r2(t-Δt)-ν2(t-Δt)]·Δt
Maintenance catapult-launching gear quantity N completelyB(t) expression formula is
NB(t)=NB(t-Δt)+[r3(t-Δt)-ν3(t-Δt)]·Δt
Wherein, t indicates that the time at current time, Δ t indicate that sampling time interval, I (t) indicate fault-free catapult-launching gear quantity, R
(t) indicate that degeneration catapult-launching gear quantity, B (t) indicate failure catapult-launching gear quantity, NC(t) prophylactic repair catapult-launching gear number is indicated
Amount, NT(t) cycled recondition catapult-launching gear quantity, N are indicatedB(t) maintenance catapult-launching gear quantity completely, r are indicated1(t) ejection is indicated
Device prepares prophylactic repair rate, r2(t) indicate that catapult-launching gear preparatory period property overhauls rate, r3(t) indicate that catapult-launching gear prepares
Maintenance rate completely, r4(t) catapult-launching gear deterioration velocity, r are indicated5(t) catapult-launching gear failure rate, v are indicated1(t) ejection is indicated
Device carries out prophylactic repair rate, v2(t) indicate that catapult-launching gear carries out cycled recondition rate, v3(t) indicate that catapult-launching gear carries out
Maintenance rate completely.
3. a kind of modeling method for shipboard aircraft catapult gear availability according to claim 1, it is characterised in that：Institute
The catapult-launching gear stated prepares prophylactic repair rate, catapult-launching gear preparatory period property maintenance rate, catapult-launching gear and prepares maintenance completely
Rate, catapult-launching gear deterioration velocity, catapult-launching gear failure rate, catapult-launching gear carry out prophylactic repair rate, catapult-launching gear carries out
The expression formula that cycled recondition rate and catapult-launching gear carry out maintenance rate completely is as follows：
Catapult-launching gear prepares prophylactic repair rate r1(t) rate equation is
r1(t)=l1R(t)K/T1
Catapult-launching gear preparatory period property overhauls rate r2(t) rate equation is
r2(t)=(1-K) R (t)/Ti
Catapult-launching gear prepares maintenance rate r completely3(t) rate equation is
r3(t)=l2B(t)
Catapult-launching gear deterioration velocity r4(t) rate equation is
r4(t)=I (t)/AL
Catapult-launching gear failure rate r5(t) rate equation is
r5(t)=(1-l1)R(t)K/(T1+T2)
Catapult-launching gear carries out prophylactic repair rate v1(t) rate equation is
ν1(t)=l3u1NC(t)/t1
Catapult-launching gear carries out cycled recondition rate v2(t) rate equation is
ν2(t)=u2NT(t)/t2
Catapult-launching gear carries out maintenance rate v completely3(t) rate equation is
ν3(t)=u3NB(t)/t3
Wherein, AL indicates that catapult-launching gear average life span, K indicate prophylactic repair ratio, TiIndicate cycled recondition time interval, u2
Indicate cycled recondition rate, t2Indicate that cycled recondition executes time, T1Indicate prophylactic repair delay, l1Indicate prophylactic repair inspection
Survey horizontal, u1Indicate prophylactic repair rate, l3Prophylactic repair is horizontal, t1Indicate that prophylactic repair executes time, l2Indicate fault detect water
It is flat, t3Indicate that maintenance executes time, u completely3Indicate complete maintenance rate.
4. a kind of modeling method for shipboard aircraft catapult gear availability according to claim 1, it is characterised in that：Institute
6 state variables and the relationship of 8 rate variables stated are
5. a kind of modeling method for shipboard aircraft catapult gear availability according to claim 1, it is characterised in that：Institute
The final catapult-launching gear usability model stated is
U (t)=(AL- Δ t) r4(t-Δt)+[ν1(t-Δt)+ν2(t-Δt)+ν3(t-Δt)]·Δt
/(R(0)+B(0)+I(0)+NC(0)+NB(0)+NT(0))
Wherein, U (t) indicates that catapult-launching gear availability, R (0) indicate that initial degeneration catapult-launching gear quantity, B (0) indicate initial
Failure catapult-launching gear quantity, I (0) indicate initial fault-free catapult-launching gear quantity, NC(0) initial prophylactic repair ejection is indicated
Device quantity, NT(0) initial cycled recondition catapult-launching gear quantity, N are indicatedB(0) initial complete maintenance catapult-launching gear is indicated
Quantity.
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| US20050177353A1 (en) * | 2004-02-05 | 2005-08-11 | Raytheon Company | Operations and support discrete event simulation system and method |
| CN102136034A (en) * | 2011-03-18 | 2011-07-27 | 北京航空航天大学 | Military aircraft reliability quantitative requirement demonstration method |
| CN107229979A (en) * | 2017-04-17 | 2017-10-03 | 北京航空航天大学 | A kind of optimization method of repairable deteriorating system periodicity preventive maintenance strategy |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20050177353A1 (en) * | 2004-02-05 | 2005-08-11 | Raytheon Company | Operations and support discrete event simulation system and method |
| CN102136034A (en) * | 2011-03-18 | 2011-07-27 | 北京航空航天大学 | Military aircraft reliability quantitative requirement demonstration method |
| CN107229979A (en) * | 2017-04-17 | 2017-10-03 | 北京航空航天大学 | A kind of optimization method of repairable deteriorating system periodicity preventive maintenance strategy |
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| XIA GUO-QING ET AL.: "dynamic analysis of catapult availability based on CBM", 《INTERNATIONAL JOURNAL OF HYBRID INFORMATION TECHNOLOGY》 * |
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