CN105354403A - Part and system test based reliability evaluation method for automobile automatic gearbox - Google Patents

Part and system test based reliability evaluation method for automobile automatic gearbox Download PDF

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CN105354403A
CN105354403A CN201410404112.3A CN201410404112A CN105354403A CN 105354403 A CN105354403 A CN 105354403A CN 201410404112 A CN201410404112 A CN 201410404112A CN 105354403 A CN105354403 A CN 105354403A
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reliability
failures
data
time
parts
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鲍珂
张忠
冯静
黄文平
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Abstract

The invention discloses a part and system test based reliability evaluation method for an automobile automatic gearbox, and belongs to the technical field of automobile automatic gearbox research. The method comprises: performing part reliability evaluation according to test data of parts such as a hydraulic torque converter, an electro-hydraulic operation apparatus, a gear speed change mechanism, a gear shifting clutch and the like in the automobile automatic gearbox, and obtaining reliability prior information of a system according to a serial model; performing reliability evaluation according to system-level test data to obtain reliability field information of the system; and further, performing Bayesian data fusion on the prior information and the field information to realize part and system test based reliability comprehensive evaluation of the automobile automatic gearbox. According to the method, the reliability evaluation of the automobile automatic gearbox can be performed by utilizing test information of the parts and the system, and the characteristics of reliability problems of mechanical parts can be reflected, so that an evaluation result is relatively high in credibility and the information utilization rate is high.

Description

A kind of automatic gearbox of vehicles reliability estimation method based on parts and system test
Technical field
The present invention relates to automatic gearbox of vehicles studying technological domain, particularly relate to a kind of automatic gearbox of vehicles reliability estimation method based on parts and system test.
Background technology
Automatic gear-box is one of important system of self shifter automobile, transmits the function such as power, shift speed change, primarily of compositions such as fluid torque-converter, electric liquid operating control, gear shift, shift clutch for realizing.
When reliability assessment being carried out to automatic gearbox of vehicles in current engineering development, data fault-time in mainly utilizing automatic gear-box Complex Structural System to test, concrete scheme is as follows:
(1) collect the reliability test data of automatic gear-box Complex Structural System, carry out data processing and obtain time between failures data;
(2) assumed fault obeys index distribution interval time, utilizes the method for parameter estimation in mathematical statistics to obtain the distribution of automatic gear-box time between failures;
(3) exponential distribution function of time between failures is utilized to calculate the reliability assessment result of automatic gear-box under specified time between failures.
There is following defect in such scheme:
(1) price of automatic gearbox of vehicles costly, and the financial cost of bench test and time cost are all higher, and the sample size of therefore system-level test is generally less.Only utilize the system test data of a small amount of sample to carry out reliability assessment, credible result degree is lower;
(2) in automatic gearbox of vehicles development process, carried out a large amount of bench test for parts such as fluid torque-converter, electric liquid operating control, gear shift, shift clutch, data fault-time in these component-level product bench tests are also directly related with the reliability level of automatic gear-box.Only utilize the failure message in system test, and the failure message ignored in component test carries out reliability assessment, the whole faults exposed in the whole development process of automatic gear-box can not be taken into full account, cause reliability assessment not comprehensively, information utilization is low;
(3) the time between failures obeys index distribution of the electro-hydraulic base part such as electric liquid operating control, fluid torque-converter in automatic fast case, and the time between failures of the mechanical parts such as gear shift, shift clutch generally disobeys exponential distribution, but obey Weibull distribution; When only utilizing the test figure of automatic gear-box Complex Structural System to carry out reliability assessment, assumed fault obeys index distribution interval time, can not reflect the feature of the mechanical part reliability problem such as gear shift, shift clutch.
Therefore, how to design and a kind ofly can fully utilize component test data and system test data carry out the method for reliability assessment to automatic gearbox of vehicles, to improve credible result degree and the information utilization of automatic gearbox of vehicles reliability assessment, and reflecting the feature of mechanical part reliability problem in automatic gearbox of vehicles to a greater extent, become technical matters urgently to be resolved hurrily.
Summary of the invention
(1) technical matters that will solve
The technical problem to be solved in the present invention is: for defect of the prior art, there is provided a kind of and can fully utilize component test data and system test data carry out the method for reliability assessment to automatic gearbox of vehicles, to improve credible result degree and the information utilization of automatic gearbox of vehicles reliability assessment, and reflecting the feature of mechanical part reliability problem in automatic gearbox of vehicles to a greater extent.
(2) technical scheme
In order to solve the problems of the technologies described above, the invention provides a kind of automatic gearbox of vehicles reliability estimation method based on parts and system test, comprising the following steps:
S1, the time between failures data of collecting in fluid torque-converter, electric liquid operating control, gear shift, shift clutch fail-test process;
S2, respectively exponential distribution parameter estimation is carried out to the time between failures of fluid torque-converter and electric liquid operating control, obtain the time between failures distribution function of fluid torque-converter and electric liquid operating control; Respectively Weibull distribution parameters estimation is carried out to the time between failures of gear shift and shift clutch, obtain the time between failures distribution function of gear shift and shift clutch;
S3, utilize the time between failures distribution function of the fluid torque-converter obtained in S2, electric liquid operating control, gear shift, shift clutch to calculate specified time between failures under the fiduciary level of each parts and Reliability confidence lower limit;
S4, the fiduciary level of fluid torque-converter, electric liquid operating control, gear shift, shift clutch under the specified time between failures obtained in S3 and Reliability confidence lower limit are converted into respectively the equivalent success or failure data of each parts;
S5, set up the system reliability model of automatic gear-box according to the mode of fluid torque-converter, electric liquid operating control, gear shift, shift clutch four unit Series, utilize the equivalent success failure type data of each parts obtained in S4 to calculate the equivalent success or failure data of automatic gear-box system;
S6, according to the system equivalence success or failure data construct Beta distribution obtained in S5, and by its prior distribution as automatic gear-box fiduciary level;
S7, the time between failures data of collecting in automatic gear-box Complex Structural System fail-test;
S8, suppose the time between failures obeys index distribution of automatic gear-box Complex Structural System, utilize parameter estimation to obtain the distribution of automatic gear-box time between failures;
S9, the exponential distribution function of automatic gear-box time between failures is utilized to calculate fiduciary level and the Reliability confidence lower limit of automatic gear-box Complex Structural System under specified time between failures;
S10, the fiduciary level obtained in S9 and Reliability confidence lower limit are converted into equivalent success or failure data, and by it as field data;
S11, carry out bayesian data fusion to the field data obtained in the priori Beta of the fiduciary level obtained in S6 distribution and S10, the fiduciary level obtaining automatic gearbox of vehicles is tested rear Beta and is distributed;
S12, utilize the fiduciary level obtained in S11 test rear Beta distribution carry out automatic gearbox of vehicles reliability comprehensive estimation.
Preferably, in step S2 and S8, maximum likelihood function method is utilized to carry out exponential distribution parameter estimation and Weibull distribution parameters estimation;
Preferably, in step S3 and S9, Reliability confidence lower limit is the one-sided confidence lower limit of degree of confidence 0.9;
Preferably, in step S3 and S9, utilize bootstrap to calculate Reliability confidence lower limit, Bootstrap sampling number of times is the integral multiple of 10, and is more than or equal to 1000 times;
Preferably, in step S4 and S10, the definition of moments method and Reliability confidence lower limit is utilized to be equivalent success or failure data by reliability assessment results conversion;
Preferably, in step S5, moments method is utilized to calculate the equivalent success or failure data of automatic gear-box system by the equivalent success failure type data of each parts.
(3) beneficial effect
The present invention carries out part reliability assessment according to the test figure of the parts such as fluid torque-converter, electric liquid operating control, gear shift, shift clutch in automatic gearbox of vehicles, and obtains the reliability prior imformation of system according to series model; Carry out reliability assessment according to system-level test figure, obtain the reliability field data of system; Further, by carrying out bayesian data fusion to prior imformation and field data, achieve the automatic gearbox of vehicles reliability comprehensive estimation based on parts and system test.The method can utilize the Test Information of parts and system to carry out automatic gearbox of vehicles reliability assessment, and can reflect the feature of mechanical part reliability problem, and therefore the confidence level of assessment result is higher, and information utilization is high.
Accompanying drawing explanation
Accompanying drawing is method flow diagram of the present invention.
Embodiment
Below in conjunction with drawings and Examples, the specific embodiment of the present invention is described in further detail.Following examples for illustration of the present invention, but are not used for limiting the scope of the invention.
As shown in drawings, the invention provides a kind of automatic gearbox of vehicles reliability estimation method based on parts and system test, comprise the following steps:
S1, the time between failures data of collecting in fluid torque-converter, electric liquid operating control, gear shift, shift clutch fail-test process;
S2, respectively exponential distribution parameter estimation is carried out to the time between failures of fluid torque-converter and electric liquid operating control, obtain the time between failures distribution function F of fluid torque-converter 1the time between failures distribution function F of (t) and electric liquid operating control 2(t); Respectively Weibull distribution parameters estimation is carried out to the time between failures of gear shift and shift clutch, obtain the time between failures distribution function F of gear shift 3the time between failures distribution function F of (t) and shift clutch 4(t); In the present embodiment, maximum likelihood function method is utilized to carry out the parameter estimation of Weibull distribution;
S3, be designated as F by unified for the time between failures distribution function of the fluid torque-converter obtained in S2, electric liquid operating control, gear shift, shift clutch i(t), i=1,2,3,4, utilize F it () calculates the fiduciary level R of each parts under specified time between failures T iand degree of confidence is the one-sided confidence lower limit R of fiduciary level of 0.9 li; In the present embodiment, utilize relational expression R i(T)=1-F i(T) fiduciary level R is calculated i; Bootstrap is utilized to calculate the one-sided confidence lower limit R of fiduciary level li, Bootstrap sampling frequency n ibe the multiple of 10, and be more than or equal to 1000 times, by the n that self-service sample calculates iindividual reliability calculating result arranges from small to large, gets 0.1*n iindividual reliability calculating result is the one-sided confidence lower limit R of fiduciary level of 0.9 as degree of confidence li;
S4, by the fiduciary level R of fluid torque-converter, electric liquid operating control, gear shift, shift clutch under the specified time between failures T that obtains in S3 iand Reliability confidence lower limit R libe converted into the equivalent success or failure data (s of each parts respectively i, f i); In the present embodiment, utilize the definition of moments method and confidence lower limit by R iand R litry to achieve (s i, f i), shown in (1), wherein B represents Beta function;
R i = s i s i + f i 1 B ( s i + f i ) ∫ 0 R Li t s 1 - 1 ( 1 - t ) f 1 - 1 dt = 0.1 - - - ( 1 )
S5, set up the system reliability model of automatic gear-box according to the mode of fluid torque-converter, electric liquid operating control, gear shift, shift clutch four unit Series, utilize the equivalent success failure type data (s of each parts obtained in S4 i, f i) calculate the equivalent success or failure data (s of automatic gear-box system a, f a); In the present embodiment, utilize moments method by (s i, f i) calculate (s a, f a), shown in (2), wherein E represents mathematical expectation;
E ( R i ) = Π i = 1 4 s i s i + f i = s a s a + f a E ( R i 2 ) = Π i = 1 4 s i ( s i + 1 ) ( s i + f i ) ( s i + f i + 1 ) = s a ( s a + 1 ) ( s a + f a ) ( s a + f a + 1 ) - - - ( 2 )
S6, distribute according to the system equivalence success or failure data construct Beta obtained in S5 Beta (s a, f a), and by its prior distribution as automatic gear-box fiduciary level;
S7, the time between failures data of collecting in automatic gear-box Complex Structural System fail-test;
S8, exponential distribution parameter estimation is carried out to the time between failures of automatic gear-box Complex Structural System, obtain the exponential distribution function F of automatic gear-box time between failures b(t);
S9, utilize F bt () calculates the fiduciary level R of automatic gear-box under specified time between failures T band degree of confidence is the one-sided confidence lower limit R of fiduciary level of 0.9 lb; In the present embodiment, utilize relational expression R b(T)=1-F b(T) fiduciary level R is calculated b; Bootstrap is utilized to calculate the one-sided confidence lower limit R of fiduciary level lb, Bootstrap sampling frequency n bbe the multiple of 10, and be more than or equal to 1000 times, by the n that self-service sample calculates bindividual reliability calculating result arranges from small to large, gets 0.1*n bindividual reliability calculating result is the one-sided confidence lower limit R of fiduciary level of 0.9 as degree of confidence lb;
S10, the fiduciary level R will obtained in S9 band Reliability confidence lower limit R lbbe converted into equivalent success or failure data (s b, f b), and by it as field data; In the present embodiment, utilize the definition of moments method and confidence lower limit by R band R lbtry to achieve (s b, f b), shown in (3), wherein B represents Beta function;
R b = s b s b + f b 1 B ( s b , f b ) ∫ 0 R Lb t s b - 1 ( 1 - t ) f b - 1 dt = 0 . 1 - - - ( 3 )
S11, distribute to the priori Beta of the fiduciary level obtained in S6 Beta (s a, f a) and S10 in the field data (s that obtains b, f b) carry out bayesian data fusion, the fiduciary level obtaining automatic gearbox of vehicles tests rear Beta distribution Beta (s a+ s b, f a+ f b);
S12, utilize the fiduciary level obtained in S11 to test rear Beta to distribute Beta (s a+ s b, f a+ f b) assess the fiduciary level R that vehicle gear box consume type lost efficacy under specified time between failures T, shown in (4).
R = s a + s b s a + s b + f a + f b - - - ( 4 )
Below for certain type automatic gearbox of vehicles, the solution of the present invention is further described.
Time between failures data in collection fluid torque-converter, electric liquid operating control, gear shift, shift clutch fail-test are as shown in table 1-table 4.
The between-failures data of certain type automatic gearbox of vehicles fluid torque-converter of table 1 test
The between-failures data of certain type automatic gearbox of vehicles electricity liquid operating control test of table 2
The between-failures data of certain type automatic gearbox of vehicles gear shift of table 3 test
The between-failures data of certain type automobile automatic transmission gear shift clutch test of table 4
Utilize the time between failures data in maximum likelihood function method his-and-hers watches 1 and table 2 to carry out exponential distribution parameter fitting, obtain exponential distribution function F 1(t) and F 2t () is respectively such as formula shown in (5) and formula (6).
F 1 ( t ) = 1 - e t μ 1 μ 1 = 1013 - - - ( 5 )
F 2 ( t ) = 1 - e t μ 2 μ 2 = 1485 - - - ( 6 )
Utilize the time between failures data in maximum likelihood function method his-and-hers watches 3 and table 4 to carry out Weibull distribution parameters matching, obtain Weibull Function F 3(t) and F 4t () is respectively such as formula shown in (7) and formula (8).
F 3 ( t ) = ∫ 0 t m 3 · η 3 - m 3 · x m 3 - 1 · e - ( x η 3 ) m 3 dx η 3 = 488.15 m 3 = 9.23 - - - ( 7 )
F 4 ( t ) = ∫ 0 t m 4 · η 4 - m 4 · x m 4 - 1 · e - ( x η 4 ) m 4 dx η 4 = 318.79 m 4 = 12.38 - - - ( 8 )
The specified time between failures of this kind of automatic gearbox of vehicles is T=300 hour, utilizes relational expression R i(T)=1-F i(T) each components reliability R is calculated i(300), as shown in table 5.
The each components reliability of certain type automatic gearbox of vehicles of table 5
Parts Fluid torque-converter Electricity liquid operating control Gear shift Shift clutch
Fiduciary level R1(300)＝0.702 R2(300)＝0.792 R3(300)＝0.993 R4(300)＝0.852
The data of his-and-hers watches 1-table 4 carry out 1000 Bootstrap samplings respectively, obtain 1000 groups of self-service samples of often kind of parts.Calculated 1000 reliability calculating results of often kind of parts by self-service sample, and arrange from small to large.100th the reliability calculating result of getting often kind of parts is the one-sided confidence lower limit R of fiduciary level of 0.9 as its degree of confidence li, as shown in table 6.
The each components reliability confidence lower limit of certain type automatic gearbox of vehicles of table 6
Data in table 5 and table 6 are substituted into formula (1), calculates the equivalent success failure type data (s that each component test of certain type automatic gearbox of vehicles is corresponding i, f i), as shown in table 7.
The equivalent success failure type data of each component test of certain type automatic gearbox of vehicles of table 7
Utilize formula (2) by the equivalent success failure type data (s of each parts i, f i) calculate the equivalent success or failure data (s of automatic gear-box system a, f a)=(14.1,15.87), corresponding prior distribution of mission reliability is Beta (14.1,15.87).
The time between failures data of collecting automatic gear-box Complex Structural System are as shown in table 8.
The between-failures data of certain type automatic gearbox of vehicles system test of table 8
Utilize the time between failures data in maximum likelihood function method his-and-hers watches 8 to carry out exponential distribution parameter fitting, obtain exponential distribution function F bt () is such as formula shown in (9).
F b ( t ) = 1 - e t μ b μ b = 2042.5 - - - ( 9 )
Specified time between failures T=300 hour, utilizes relational expression R b(T)=1-F b(T) fiduciary level R is calculated b(300)=0.863.The data of his-and-hers watches 8 carry out 1000 Bootstrap samplings, obtain 1000 groups of self-service samples of automatic gear-box system.Calculate 1000 reliability calculating results by self-service sample, and arrange from small to large.Get the one-sided confidence lower limit R of fiduciary level that the 100th reliability calculating result as the degree of confidence of automatic gear-box system is 0.9 lb, R lb=0.805.
By R band R lbvalue substitute into formula (3), calculate Complex Structural System test equivalent success or failure data (s b, f b)=(53.06,8.42).
To prior distribution of mission reliability Beta (s a, f a)=Beta (14.1,15.87) and fiduciary level field data (s b, f b)=(53.06,8.42) carry out bayesian data fusion, the fiduciary level posterior distribution obtaining this kind of automatic gearbox of vehicles is Beta (s a+ s b, f a+ f b)=Beta (67.16,24.29).
Formula (4) is utilized to calculate the fiduciary level R=0.7344 that vehicle gear box consume type lost efficacy under specified time between failures T.
As can be seen from the above embodiments, the present invention carries out part reliability assessment according to the test figure of the parts such as fluid torque-converter, electric liquid operating control, gear shift, shift clutch in automatic gearbox of vehicles, and obtains the reliability prior imformation of system according to series model; Carry out reliability assessment according to system-level test figure, obtain the reliability field data of system; Further, by carrying out bayesian data fusion to prior imformation and field data, achieve the automatic gearbox of vehicles reliability comprehensive estimation based on parts and system test.Because this method can utilize the Test Information of parts and system to carry out automatic gearbox of vehicles reliability assessment, and the feature of the mechanical part reliability problem of automatic gearbox of vehicles can be reflected, therefore the confidence level of assessment result is higher, and information utilization is high.Utilize maximum likelihood function method to carry out estimation of distribution parameters, utilize the mathematical methods such as bootstrap calculating Reliability confidence lower limit more ripe, the method that therefore the present invention proposes also has good practicality.
The above is only the preferred embodiment of the present invention; it should be pointed out that for those skilled in the art, under the prerequisite not departing from the technology of the present invention principle; can also make some improvement and replacement, these improve and replace and also should be considered as protection scope of the present invention.

Claims (6)

1., based on an automatic gearbox of vehicles reliability estimation method for parts and system test, it is characterized in that, comprise the following steps:
S1, the time between failures data of collecting in fluid torque-converter, electric liquid operating control, gear shift, shift clutch fail-test process;
S2, respectively exponential distribution parameter estimation is carried out to the time between failures of fluid torque-converter and electric liquid operating control, obtain the time between failures distribution function of fluid torque-converter and electric liquid operating control; Respectively Weibull distribution parameters estimation is carried out to the time between failures of gear shift and shift clutch, obtain the time between failures distribution function of gear shift and shift clutch;
S3, utilize the time between failures distribution function of the fluid torque-converter obtained in S2, electric liquid operating control, gear shift, shift clutch to calculate specified time between failures under the fiduciary level of each parts and Reliability confidence lower limit;
S4, the fiduciary level of fluid torque-converter, electric liquid operating control, gear shift, shift clutch under the specified time between failures obtained in S3 and Reliability confidence lower limit are converted into respectively the equivalent success or failure data of each parts;
S5, set up the system reliability model of automatic gear-box according to the mode of fluid torque-converter, electric liquid operating control, gear shift, shift clutch four unit Series, utilize the equivalent success failure type data of each parts obtained in S4 to calculate the equivalent success or failure data of automatic gear-box system;
S6, according to the system equivalence success or failure data construct Beta distribution obtained in S5, and by its prior distribution as automatic gear-box fiduciary level;
S7, the time between failures data of collecting in automatic gear-box Complex Structural System fail-test;
S8, suppose the time between failures obeys index distribution of automatic gear-box Complex Structural System, utilize parameter estimation to obtain the distribution of automatic gear-box time between failures;
S9, the exponential distribution function of automatic gear-box time between failures is utilized to calculate fiduciary level and the Reliability confidence lower limit of automatic gear-box Complex Structural System under specified time between failures;
S10, the fiduciary level obtained in S9 and Reliability confidence lower limit are converted into equivalent success or failure data, and by it as field data;
S11, carry out bayesian data fusion to the field data obtained in the priori Beta of the fiduciary level obtained in S6 distribution and S10, the fiduciary level obtaining automatic gearbox of vehicles is tested rear Beta and is distributed;
S12, utilize the fiduciary level obtained in S11 test rear Beta distribution carry out automatic gearbox of vehicles reliability comprehensive estimation.
2. as claimed in claim 1 based on the automatic gearbox of vehicles reliability estimation method of parts and system test, it is characterized in that, in step S2 and S8, utilize maximum likelihood function method to carry out exponential distribution parameter estimation and Weibull distribution parameters is estimated.
3., as claimed in claim 1 based on the automatic gearbox of vehicles reliability estimation method of parts and system test, it is characterized in that, in step S3 and S9, Reliability confidence lower limit is the one-sided confidence lower limit of degree of confidence 0.9.
4. as claim 1 and the automatic gearbox of vehicles reliability estimation method based on parts and system test according to claim 3, it is characterized in that, in step S3 and S9, utilize bootstrap to calculate Reliability confidence lower limit, Bootstrap sampling number of times is the integral multiple of 10, and is more than or equal to 1000 times.
5., as claim 1 and the automatic gearbox of vehicles reliability estimation method based on parts and system test according to claim 3, it is characterized in that, utilize the definition of moments method and Reliability confidence lower limit to be equivalent success or failure data by reliability assessment results conversion.
6., as claimed in claim 1 based on the automatic gearbox of vehicles reliability estimation method of parts and system test, it is characterized in that, in step S5, utilize moments method to calculate the equivalent success or failure data of automatic gear-box system by the equivalent success failure type data of each parts.
CN201410404112.3A 2014-08-18 2014-08-18 Part and system test based reliability evaluation method for automobile automatic gearbox Pending CN105354403A (en)

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