In present paper, we obtain the inverse moment estimations of parameters of the Birnbaum-Saunders fatigue life distribution based on Type-Ⅱ bilateral censored samples and multiply Type-Ⅱ censored sample. In this pap...In present paper, we obtain the inverse moment estimations of parameters of the Birnbaum-Saunders fatigue life distribution based on Type-Ⅱ bilateral censored samples and multiply Type-Ⅱ censored sample. In this paper, we also get the interval estimations of the scale parameters.展开更多
In present paper, we derive the quasi-least squares estimation(QLSE) and approximate maximum likelihood estimation(AMLE) for the Birnbaum-Saunders fatigue life distribution under multiply Type-Ⅱcensoring. Furthermore...In present paper, we derive the quasi-least squares estimation(QLSE) and approximate maximum likelihood estimation(AMLE) for the Birnbaum-Saunders fatigue life distribution under multiply Type-Ⅱcensoring. Furthermore, we get the variance and covariance of the approximate maximum likelihood estimation.展开更多
Additive manufactured titanium alloys exhibit distinct microstructures and internal defects compared to forged alloys.This has a significant impact on its fatigue failure behavior and fatigue life distribution.Fatigue...Additive manufactured titanium alloys exhibit distinct microstructures and internal defects compared to forged alloys.This has a significant impact on its fatigue failure behavior and fatigue life distribution.Fatigue life dispersity and distribution characteristics of laser direct energy deposited Ti-6.5Al-3.5Mo-1.5Zr-0.3Si alloy were investigated by a relatively large sample fatigue test,fracture morphology characterization,and statistical analytic method.Then,the intrinsic causes of fatigue life dispersity and distribution characteristics were clarified by correlating with fatigue failure origin modes(FFOMs).The test and analysis results indicate that the existence of internal pores significantly influences FFOMs,fatigue life dispersity,and distribution pattern.The FFOMs of microstructure and interior pores have little effect on fatigue life dispersion,In contrast,FFOMs of surface and subsurface pores present a relatively lower fatigue life and are responsible for fatigue life dispersion.Besides,two competitive effects of FFOMs with different applied stress highly affect fatigue life distribution.A bimodal Weibull model is more suitable for describing fatigue life distribution with multiple FFOMs.However,if there is no fast-computing procedure for the parameter estimation of the Bimodal Weibull model,relatively conservative and simple P-S-N curves based on the Weibull distribution model are recommended in engineering applications.展开更多
The logarithmic moment estimations of parameters are proposed for two-parameter generalized Birnbaum-Saunders Logistic fatigue life distribution GBS-Logistic(α,β)under the full sample.The precisions of point estimat...The logarithmic moment estimations of parameters are proposed for two-parameter generalized Birnbaum-Saunders Logistic fatigue life distribution GBS-Logistic(α,β)under the full sample.The precisions of point estimations are investigated and compared with other point estimations by Monte-Carlo simulations.The approximate interval estimations of parameters are given by using Taylor expansion,and the precisions of approximate interval estimations are investigated by Monte-Carlo simulations.Finally,several examples show the feasibility of the methods.展开更多
The physical foundation of statistical law of fatigue fracture is discussed. The universal forms of the microcrack growth rate, fluctuation growth coefficient and distribution function and fatigue life distribution fu...The physical foundation of statistical law of fatigue fracture is discussed. The universal forms of the microcrack growth rate, fluctuation growth coefficient and distribution function and fatigue life distribution function have been given.展开更多
This paper presents a generalized model for determining minimum cost preventive maintenance schedules for a maintained reliability system. Through balancing the cost of system failure during operation against the cos...This paper presents a generalized model for determining minimum cost preventive maintenance schedules for a maintained reliability system. Through balancing the cost of system failure during operation against the cost of planned maintenance, an optimal policy is established which minimizes the expected cost rate. A simple equation to determine the optimal period between maintenances for a system with the known failure distribution is acquired, and the calculation for the system with Gamma failure distribution is given.展开更多
This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution...This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution of the completion time and the interruption time on L^+ and PH life distribution classes. We get an exponential bound for the tail probability of the interruption time.展开更多
基金Supported by the NSF of China(69971016) Supported by the Shanghai Higher Learning Science Supported by the Technology Development Foundation(00JC14507)
文摘In present paper, we obtain the inverse moment estimations of parameters of the Birnbaum-Saunders fatigue life distribution based on Type-Ⅱ bilateral censored samples and multiply Type-Ⅱ censored sample. In this paper, we also get the interval estimations of the scale parameters.
基金Supported by the NSF of China(69971016)Supported by the Shanghai Higher Learning Science and Technology Development Foundation(04DB24)
文摘In present paper, we derive the quasi-least squares estimation(QLSE) and approximate maximum likelihood estimation(AMLE) for the Birnbaum-Saunders fatigue life distribution under multiply Type-Ⅱcensoring. Furthermore, we get the variance and covariance of the approximate maximum likelihood estimation.
基金supported by the National Natural Science Foundation of China(Nos.51775018&52090044)。
文摘Additive manufactured titanium alloys exhibit distinct microstructures and internal defects compared to forged alloys.This has a significant impact on its fatigue failure behavior and fatigue life distribution.Fatigue life dispersity and distribution characteristics of laser direct energy deposited Ti-6.5Al-3.5Mo-1.5Zr-0.3Si alloy were investigated by a relatively large sample fatigue test,fracture morphology characterization,and statistical analytic method.Then,the intrinsic causes of fatigue life dispersity and distribution characteristics were clarified by correlating with fatigue failure origin modes(FFOMs).The test and analysis results indicate that the existence of internal pores significantly influences FFOMs,fatigue life dispersity,and distribution pattern.The FFOMs of microstructure and interior pores have little effect on fatigue life dispersion,In contrast,FFOMs of surface and subsurface pores present a relatively lower fatigue life and are responsible for fatigue life dispersion.Besides,two competitive effects of FFOMs with different applied stress highly affect fatigue life distribution.A bimodal Weibull model is more suitable for describing fatigue life distribution with multiple FFOMs.However,if there is no fast-computing procedure for the parameter estimation of the Bimodal Weibull model,relatively conservative and simple P-S-N curves based on the Weibull distribution model are recommended in engineering applications.
基金supported by the National Natural Science Foundation of China under Grant No.11671264
文摘The logarithmic moment estimations of parameters are proposed for two-parameter generalized Birnbaum-Saunders Logistic fatigue life distribution GBS-Logistic(α,β)under the full sample.The precisions of point estimations are investigated and compared with other point estimations by Monte-Carlo simulations.The approximate interval estimations of parameters are given by using Taylor expansion,and the precisions of approximate interval estimations are investigated by Monte-Carlo simulations.Finally,several examples show the feasibility of the methods.
基金The project is supposed by the National Natural Science Foundation of China
文摘The physical foundation of statistical law of fatigue fracture is discussed. The universal forms of the microcrack growth rate, fluctuation growth coefficient and distribution function and fatigue life distribution function have been given.
文摘This paper presents a generalized model for determining minimum cost preventive maintenance schedules for a maintained reliability system. Through balancing the cost of system failure during operation against the cost of planned maintenance, an optimal policy is established which minimizes the expected cost rate. A simple equation to determine the optimal period between maintenances for a system with the known failure distribution is acquired, and the calculation for the system with Gamma failure distribution is given.
基金This work is partially supported by the National Natural Science Foundation of China(Grant No. 60074018,No. 10271102)the Natural Science Foundation of Hebei Province(Grant No. A2004000185)and the Doctoral Foundation of Hebei Province(Grant No. 2002131).
文摘This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution of the completion time and the interruption time on L^+ and PH life distribution classes. We get an exponential bound for the tail probability of the interruption time.
