“…These methods may enable rapid estimation, but they are not flexible in incorporating various types and amount of available information on components or in accounting for statistical dependence among components and failure modes (Kim et al, 2013). According to (Kim et al, 2013), another challenge in such a system reliability analysis is that there often exist innumerable failure modes, i.e. possible combinations or sequences of components failures, because real structures are highly redundant and the failure of a member redefines the limit states of the remaining members (e.g.…”
Section: Selective Searching Technique For Dominant Fail-ure Modesmentioning
confidence: 99%
“…stress re-distribution caused by a member failure). Therefore, it is infeasible in most cases to enumerate all the possible failure modes for system reliability analysis (Kim et al, 2013). In order to overcome this difficulty, many studies have focused on the possibility of using only dominant failure modes with significant likelihood, instead of using all possible failure modes (Moses et al, 1979;Murotsu et al, 1984).…”
Section: Selective Searching Technique For Dominant Fail-ure Modesmentioning
confidence: 99%
“…Shao et al, 1999, proposed an improved simulation-based selective searching technique which genetic algorithm (GA) is used to find as small number of dominant failure modes. Kim et al, 2013, proposed a similar searching method to the one by (Murotsu et al, 1984), in that a GA scheme is used for search, but different in terms of two distinct GA search strategies such as searching direction and elitism. Therefore, dominant failure modes are obtained by a simulation-based selective searching technique employing a genetic algorithm the probabilities of the failure are computed by a matrix based system reliability (MSR) method.…”
Section: Selective Searching Technique For Dominant Fail-ure Modesmentioning
confidence: 99%
“…Such system reliability analysis aims to compute the probability of the system failure event E sys , which is often described as a cut-set system, i.e. (Kim et al, 2013):…”
Abstract. The development of methods that allow to numerically reproduce the actual behavior of real structural systems has challenged scientists and researchers and urged them to address issues that extend beyond the integrity of a system. Therefore, a series of new parameters must be taken into account to evaluate the failure of a real structural system, especially in redundant systems. In the present paper, an accurate technique is developed to satisfy the probabilistic analysis. The proposed method estimates the reliability of the system with techniques that enable detecting multiple failure modes and, using the chi-squared distribution, a one direction exact integration is performed to calculate the failure probability of each mode in a more precise way than conventional approximation and simulation methods. This technique is based on the conventional (HDM) Hyperspace Division Method procedures which approximate the limit state surface by a series of spherical segments for provide accurate estimates of failure probabilities of components or systems. Besides, in this work, nonlinearity is considered by adopting an elastic plasticity model with linear hardening. Numerical applications showed the accuracy and efficiency of the methodology in the evaluation of the failure probability of problems represented by high nonlinear limit state functions with multiple failure regions.
“…These methods may enable rapid estimation, but they are not flexible in incorporating various types and amount of available information on components or in accounting for statistical dependence among components and failure modes (Kim et al, 2013). According to (Kim et al, 2013), another challenge in such a system reliability analysis is that there often exist innumerable failure modes, i.e. possible combinations or sequences of components failures, because real structures are highly redundant and the failure of a member redefines the limit states of the remaining members (e.g.…”
Section: Selective Searching Technique For Dominant Fail-ure Modesmentioning
confidence: 99%
“…stress re-distribution caused by a member failure). Therefore, it is infeasible in most cases to enumerate all the possible failure modes for system reliability analysis (Kim et al, 2013). In order to overcome this difficulty, many studies have focused on the possibility of using only dominant failure modes with significant likelihood, instead of using all possible failure modes (Moses et al, 1979;Murotsu et al, 1984).…”
Section: Selective Searching Technique For Dominant Fail-ure Modesmentioning
confidence: 99%
“…Shao et al, 1999, proposed an improved simulation-based selective searching technique which genetic algorithm (GA) is used to find as small number of dominant failure modes. Kim et al, 2013, proposed a similar searching method to the one by (Murotsu et al, 1984), in that a GA scheme is used for search, but different in terms of two distinct GA search strategies such as searching direction and elitism. Therefore, dominant failure modes are obtained by a simulation-based selective searching technique employing a genetic algorithm the probabilities of the failure are computed by a matrix based system reliability (MSR) method.…”
Section: Selective Searching Technique For Dominant Fail-ure Modesmentioning
confidence: 99%
“…Such system reliability analysis aims to compute the probability of the system failure event E sys , which is often described as a cut-set system, i.e. (Kim et al, 2013):…”
Abstract. The development of methods that allow to numerically reproduce the actual behavior of real structural systems has challenged scientists and researchers and urged them to address issues that extend beyond the integrity of a system. Therefore, a series of new parameters must be taken into account to evaluate the failure of a real structural system, especially in redundant systems. In the present paper, an accurate technique is developed to satisfy the probabilistic analysis. The proposed method estimates the reliability of the system with techniques that enable detecting multiple failure modes and, using the chi-squared distribution, a one direction exact integration is performed to calculate the failure probability of each mode in a more precise way than conventional approximation and simulation methods. This technique is based on the conventional (HDM) Hyperspace Division Method procedures which approximate the limit state surface by a series of spherical segments for provide accurate estimates of failure probabilities of components or systems. Besides, in this work, nonlinearity is considered by adopting an elastic plasticity model with linear hardening. Numerical applications showed the accuracy and efficiency of the methodology in the evaluation of the failure probability of problems represented by high nonlinear limit state functions with multiple failure regions.
“…Due to the common-source of the input random variables of the system, such as the external loads, the geometric parameters and the material properties, the existing failure modes would be correlated to a certain extend [2,13]. From another perspective, it means that a failure may cause another failure occurs more rapidly, or just the opposite.…”
Article citation info:
IntroductionGenerally, multiple failure modes may occur in a gear transmission system. Due to the common-source of the input random variables of the system, such as the external loads, the geometric parameters and the material properties, the existing failure modes would be correlated to a certain extend [2,13]. From another perspective, it means that a failure may cause another failure occurs more rapidly, or just the opposite. Actually, whether the dependence of different failure modes is considered during the reliability design process may affect the system reliability estimation greatly. The commonly used independent assumption between failure modes usually leads to defects in gear HAO L, ZHENCAI Z. The probabilistic analysis and optimal design of a bevel gear transmission system with failure interaction. Eksploatacja i Niezawodnosc -Maintenance and Reliability 2017; 19 (2): 220-228, http://dx.doi.org/10.17531/ein.2017.2.9.
Lu HAO Zhu ZHENCAIThe probabilisTic analysis and opTimal design of a bevel gear Transmission sysTem wiTh failure inTeracTion probabilisTyczna analiza i opTymalne projekTowanie układu przekładni sTożkowej z uwzględnieniem inTerakcji między uszkodzeniami
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