动量轮是卫星姿态控制系统的关键部件,对卫星的可靠性及整体寿命有直接影响。针对卫星动量轮的剩余寿命预测问题,提出一种基于Copula函数的多退化量下的寿命预测方法。首先,分析了影响动量轮寿命的关键因素,选择润滑剂剩余量和电流作为...动量轮是卫星姿态控制系统的关键部件,对卫星的可靠性及整体寿命有直接影响。针对卫星动量轮的剩余寿命预测问题,提出一种基于Copula函数的多退化量下的寿命预测方法。首先,分析了影响动量轮寿命的关键因素,选择润滑剂剩余量和电流作为退化量;其次,分别对单个退化量进行退化建模,得到动量轮剩余寿命的边缘分布函数;然后,通过Copula函数族来描述多退化量之间的相关性,并对边缘分布进行融合,得到动量轮剩余寿命的联合分布函数;最后,提出基于赤池信息准则(Akaike information criterion,AIC)模型评价的Copula函数选择方法。展开更多
The universal creep function derived from the kinetic equations is successful in relating the creep (ε) to the aging time (t a), coefficient of retardation time (β), and intrinsic time (t 0). The rel...The universal creep function derived from the kinetic equations is successful in relating the creep (ε) to the aging time (t a), coefficient of retardation time (β), and intrinsic time (t 0). The relation was used to treat the creep experimental data for polystyrene (PS) specimens which were aged at a given temperature and different times (short term) and tested at a certain temperature and different stress levels. Then unified master lines were constructed with the treated data and curves according to the universal equation. The master lines can be used to predict the long term creep behaviour and lifetime by extrapolating to a required ultimate strain. The verifications of results obtained with this method were shown as well.展开更多
The universal creep equation relates creep behavior (ε/ε 0) to aging time (t a), coefficient of retardation time (β), and intrinsic time (t 0). The relation was used to treat the creep experimental ...The universal creep equation relates creep behavior (ε/ε 0) to aging time (t a), coefficient of retardation time (β), and intrinsic time (t 0). The relation was used to treat the creep experimental data for pipe specimens of polypropylene block copolymer (PPC), which were aged for different days (short term) and tested under different stress levels at a certain temperature. Then unified master lines were constructed with the treated data and curves according to the universal equation. The master straight lines can be used for extrapolation to predict the long term creep behavior and lifetime of the pipe materials of PPC in the same way as plate materials.展开更多
Conditioned Brownian motions in bounded domains have been extensively studied.However, we know little about the conditioned processes in an unbounded domain for the difficulty of techniques and methods. Only a few pec...Conditioned Brownian motions in bounded domains have been extensively studied.However, we know little about the conditioned processes in an unbounded domain for the difficulty of techniques and methods. Only a few peculiar cases are investigated. In this note, we shall be devoted to investigating the integrability of the lifetime of conditioned Brownian motions in the angular domain A_m^d={(x^1,…, x^d)∈R^d, x^i】0, 1≤i≤m≤d} (d≥2).展开更多
A class of lifetime distributions, new better than equilibrium in expectation （NBEE）, and its dual, new worse than equilibrium in expectation （NWEE）, are studied based on the comparison of the expectations of life...A class of lifetime distributions, new better than equilibrium in expectation （NBEE）, and its dual, new worse than equilibrium in expectation （NWEE）, are studied based on the comparison of the expectations of lifetime X and its equilibrium Xo. The relationships of the NBEE （NWEE） and other lifetime distribution classes are discussed. It is proved that the NBEE is very large, and increasing failure rate （IFR）, new better than used （NBU） and the L class are its subclasses. The closure properties under two kinds of reliability operations, namely, convolution and mixture, are investigated. Furthermore, a Poisson shock model and a special cumulative model are also studied, in which the necessary and sufficient conditions for the NBEE （NWEE） lifetime distribution of the systems are established. In the homogenous Poisson shock model, the system lifetime belongs to NBEE（NWEE） if and only if the corresponding discrete failure distribution belongs to the discrete NBEE（NWEE）. While in the cumulative model, the system has an NBEE lifetime if and only if the stochastic threshold of accumulated damage is NBEE.展开更多
This paper investigates a simple step-stress accelerated lifetime test(SSALT)model for the inferential analysis of exponential competing risks data.A generalized type-I hybrid censoring scheme is employed to improve t...This paper investigates a simple step-stress accelerated lifetime test(SSALT)model for the inferential analysis of exponential competing risks data.A generalized type-I hybrid censoring scheme is employed to improve the efficiency and controllability of the test.Firstly,the MLEs for parameters are established based on the cumulative exposure model(CEM).Then the conditional moment generating function(MGF)for unknown parameters is set up using conditional expectation and multiple integral techniques.Thirdly,confidence intervals(CIs)are constructed by the exact MGF-based method,the approximate normality-based method,and the bias-corrected and accelerated(BCa)percentile bootstrap method.Finally,we present simulation studies and an illustrative example to compare the performances of different methods.展开更多
文摘动量轮是卫星姿态控制系统的关键部件,对卫星的可靠性及整体寿命有直接影响。针对卫星动量轮的剩余寿命预测问题,提出一种基于Copula函数的多退化量下的寿命预测方法。首先,分析了影响动量轮寿命的关键因素,选择润滑剂剩余量和电流作为退化量;其次,分别对单个退化量进行退化建模,得到动量轮剩余寿命的边缘分布函数;然后,通过Copula函数族来描述多退化量之间的相关性,并对边缘分布进行融合,得到动量轮剩余寿命的联合分布函数;最后,提出基于赤池信息准则(Akaike information criterion,AIC)模型评价的Copula函数选择方法。
文摘The universal creep function derived from the kinetic equations is successful in relating the creep (ε) to the aging time (t a), coefficient of retardation time (β), and intrinsic time (t 0). The relation was used to treat the creep experimental data for polystyrene (PS) specimens which were aged at a given temperature and different times (short term) and tested at a certain temperature and different stress levels. Then unified master lines were constructed with the treated data and curves according to the universal equation. The master lines can be used to predict the long term creep behaviour and lifetime by extrapolating to a required ultimate strain. The verifications of results obtained with this method were shown as well.
文摘The universal creep equation relates creep behavior (ε/ε 0) to aging time (t a), coefficient of retardation time (β), and intrinsic time (t 0). The relation was used to treat the creep experimental data for pipe specimens of polypropylene block copolymer (PPC), which were aged for different days (short term) and tested under different stress levels at a certain temperature. Then unified master lines were constructed with the treated data and curves according to the universal equation. The master straight lines can be used for extrapolation to predict the long term creep behavior and lifetime of the pipe materials of PPC in the same way as plate materials.
基金Project supported by the National Natural Science Foundation of China
文摘Conditioned Brownian motions in bounded domains have been extensively studied.However, we know little about the conditioned processes in an unbounded domain for the difficulty of techniques and methods. Only a few peculiar cases are investigated. In this note, we shall be devoted to investigating the integrability of the lifetime of conditioned Brownian motions in the angular domain A_m^d={(x^1,…, x^d)∈R^d, x^i】0, 1≤i≤m≤d} (d≥2).
基金The National Natural Science Foundation of China(No. 10801032)
文摘A class of lifetime distributions, new better than equilibrium in expectation （NBEE）, and its dual, new worse than equilibrium in expectation （NWEE）, are studied based on the comparison of the expectations of lifetime X and its equilibrium Xo. The relationships of the NBEE （NWEE） and other lifetime distribution classes are discussed. It is proved that the NBEE is very large, and increasing failure rate （IFR）, new better than used （NBU） and the L class are its subclasses. The closure properties under two kinds of reliability operations, namely, convolution and mixture, are investigated. Furthermore, a Poisson shock model and a special cumulative model are also studied, in which the necessary and sufficient conditions for the NBEE （NWEE） lifetime distribution of the systems are established. In the homogenous Poisson shock model, the system lifetime belongs to NBEE（NWEE） if and only if the corresponding discrete failure distribution belongs to the discrete NBEE（NWEE）. While in the cumulative model, the system has an NBEE lifetime if and only if the stochastic threshold of accumulated damage is NBEE.
基金Humanities and Social Sciences Fund in Ministry of Education in China(18YJC910009)the National Natural Science Foundation of China(12061091)Program for the Philosophy and Social Sciences Research of Higher Learning Institutions of Shanxi(201803050)。
文摘This paper investigates a simple step-stress accelerated lifetime test(SSALT)model for the inferential analysis of exponential competing risks data.A generalized type-I hybrid censoring scheme is employed to improve the efficiency and controllability of the test.Firstly,the MLEs for parameters are established based on the cumulative exposure model(CEM).Then the conditional moment generating function(MGF)for unknown parameters is set up using conditional expectation and multiple integral techniques.Thirdly,confidence intervals(CIs)are constructed by the exact MGF-based method,the approximate normality-based method,and the bias-corrected and accelerated(BCa)percentile bootstrap method.Finally,we present simulation studies and an illustrative example to compare the performances of different methods.
