Reliability modeling methods for load-sharing k-out-of-n system subject to discrete external load

2020 ◽  
Vol 193 ◽  
pp. 106603 ◽  
Author(s):  
Jianchun Zhang ◽  
Yu Zhao ◽  
Xiaobing Ma
2021 ◽  
Vol 9 ◽  
Author(s):  
Mikko J. Alava

An important question in the theory of fracture is what kind of lifetime distributions may exist for materials under load. Here, this is studied in the context of a one-dimensional fracture model with local load sharing under a constant external load, “creep.” Simulations of the system with Weibull distributed initial lifetimes for the elements show that the limiting distribution follows from extreme statistics and takes the Gumbel form eventually, with longer and longer crossovers in the system size from a Weibull-like distribution, depending on the initial Weibull exponent.


Author(s):  
MARIO HELLMICH

This paper deals with the application of nonhomogeneous semi-Markov processes in reliability modeling. The notion of a semi-Markov embeddable reliability structure is introduced and discussed. As an example, load-sharing k-out-of-n : G systems of equal components with arbitrary life distributions under the equal load-sharing rule are treated in the context of semi-Markov embeddable systems. Besides some discussion about load-life models, the case of repairable components is to some extent treated as well.


2020 ◽  
Vol 36 (5) ◽  
pp. 1553-1569
Author(s):  
Jianbin Guo ◽  
Yongguang Shen ◽  
Zhenping Lu ◽  
Haiyang Che ◽  
Zhuo Liu ◽  
...  

Author(s):  
Youhong Sun ◽  
Yuanling Shi ◽  
Zongwei Yao ◽  
Qingyan Wang

With the increase in drilling depth, a slight conical pendulum movement of drilling strings causes the external drilling load becoming a non-negligible excitation source. The phenomenon of unique load sharing would be generated by irregular external load, which has complex influence on cyclic and axial symmetry of a power integrated gearbox. Bearing wear, which brings high frequency unpredictable vibration into the transmission system, is likely to occur because of the specific drive mode of the hydraulic top-drive system applied in well drilling. A systematic model combining the finite element method and the multi-body dynamics of a power-integrated gearbox simulation system is developed in this study with the characteristics of the power system, external load, driving forces, gear mesh stiffness, and bearing support stiffness taken into consideration. The load sharing characteristics of the power-integrated gearbox in a hydraulic top-drive system are numerically investigated. Moreover, the effects of gear mesh stiffness, bearing support stiffness, lateral load, and bearing clearance on the load sharing characteristics are systematically examined. Analysis results show that the dynamic process must be considered to achieve a comprehensive evaluation of the load sharing characteristics of a power-integrated gearbox. Evaluation results indicate that lateral load is the factor that influence the load sharing factor of the power-integrated gearbox most significantly, based on which, predictions can be safely made so that some additional mechanisms might be a practical option to diminish that effect.


2019 ◽  
Vol 68 (4) ◽  
pp. 1283-1295 ◽  
Author(s):  
Qiuzhuang Sun ◽  
Zhi-Sheng Ye ◽  
Matthew Revie ◽  
Lesley Walls

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ahmed Hader ◽  
Hicham Sbiaai ◽  
Mohammed Tanasehte ◽  
Layla Amallah ◽  
Yahia Boughaleb

PurposeThe fibers are loaded by the cosine component of the external load, when a fiber fails, and due to the local load-sharing nature, its force is shared by surviving neighboring fibers. The results show that the system presents a greater resistance and toughness toward the applied load compared to the classical one.Design/methodology/approachIn this paper, the authors adopt the dynamics of a local load-sharing fiber bundle model in two dimensions under an external load to study scaling law in failure process of composite materials with randomly oriented fibers. The model is based on the fiber bundle model where the fibers are randomly oriented. The system is different to the classical one where the fibers are arranged in parallel with the applied load direction.FindingsThe evolution time of the fraction of broken fiber is described by an exponential law with two characteristic times. The latter decrease linearly and exponentially respectively with both applied load and temperature.Originality/valueScaling behavior of the broken fiber numbers with the size system shows that the system exhibits a scaling law of Family–Vicsek model with universal exponents.


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