Reliability assessment of multi-state phased mission system with non-repairable multi-state components

Abstract

Phased mission systems (PMSs) like satellites and spacecraft perform their functions over non-overlapping mission periods, called phases. One of the challenges in assessing reliability of PMSs comes from considering the s-dependence among phases, and the consideration on the multi-state behavior of components and systems makes the reliability analysis even more difficult. To effectively address this problem, a multi-state multivalued decision diagram algorithm for PMS and a multi-state multi-valued decision diagram model for phased mission system (PMS-MMDD) method is developed for the reliability modelling of non-repairable multi-state components. Based on the Semi-Markov process, a Markov renewal equation-based method is developed to deal with non-exponential multistate components and a numerical method, the trapezoidal integration method, is used to compute the complex integrals in the path probability evaluation. A case study of a multistate attitude and orbit control system in a spacecraft is analyzed to illustrate the proposed PMS-MMDD model and the Markov renewal equation-based evaluation method. The accuracy and computation efficiency of the proposed method are verified by the Monte Carlo simulation method.

A New Cumulative Fatigue Damage Rule Based on Dynamic Residual S-N Curve and Material Memory Concept

“…For a three-stage fatigue loading, using a similar analytical method and derivation procedure of the two-stage loading, the slope ratio and the life fraction at the third loading level can be expressed by Equations (20) and (21), respectively:…”

“…Despite the major deficiencies, LDR is still dominantly used in practical engineering design, because the linear summation form can significantly reduce the calculation effort. In order to improve the LDR, a considerable number of non-linear hypotheses [20][21][22][23][24] are proposed to explain the loading sequence observed in the experiments, yet most of them substantially need more parameters to calibrate and are often computationally expensive, especially for multi-stage block loadings when compared with the LDR. The main advantages of LDR lie in its conceptual simplicity, in following a simple linear summation of damage that is inexpensive both computationally and experimentally, and particularly in a small amount of data necessary from the Basquin's law (S-N curve).…”

Reliability assessment of phased-mission systems under random shocks

“…To compute the complicated integrals in Eq. 10, an accurate approximation method, the trapezoidal integration method [33,34], is applied in this paper and shown as,…”

Reliability assessment for systems suffering common cause failure based on Bayesian networks and proportional hazards model

“…Many methods were also proposed for reliability modeling and assessment of complex systems under dynamic conditions (eg, complex load, random shocks). [15][16][17] In this paper, the CCF of an engineering system is characterized via a BN, which can effectively characterize causal relations and its failure process. The proportional hazards model is used to describe the dynamic working condition.…”