Abstract:Techniques from the perturbation method, the Edgeworth series, the reliability-based design theory, and the sensitivity analysis approach are employed to present a practical and efficient method for the reliability sensitivity of automobile components with arbitrary distribution parameters. On the condition of first four moments of original random variables known, the reliability sensitivity theory and case studies are researched. The respective program can be used to obtain the reliability sensitivity of auto… Show more
“…The indexing accuracy reliability of PTT is estimated by the reliability perturbation method which is proposed by Zhang YM and is described in detail in the document [25].The indexing accuracy reliability could be estimated by:…”
Section: Indexing Accuracy Reliability and Its Sensitivity Of Pttmentioning
confidence: 99%
“…(28) and (29) is introduced in [25]. The indexing accuracy reliability sensitivity of the considered PTT to the random variable's and the wear process's means is shown in Fig.…”
Section: Indexing Accuracy Reliability and Its Sensitivity Of Pttmentioning
confidence: 99%
“…7. Here, the subfigures (1), (2), ……, (25) are the sensitivity curves to the means or the standard deviations of x 1 , x 2 , ......, x 25 respectively. The sensitivity to the means or the standard deviations of the tooth thickness wear processes of the lock gear disc, the rotating gear disc and the fixed gear disc are shown by the subfigures (26), (27) and (28) in Fig.…”
Section: Indexing Accuracy Reliability and Its Sensitivity Of Pttmentioning
“…The indexing accuracy reliability of PTT is estimated by the reliability perturbation method which is proposed by Zhang YM and is described in detail in the document [25].The indexing accuracy reliability could be estimated by:…”
Section: Indexing Accuracy Reliability and Its Sensitivity Of Pttmentioning
confidence: 99%
“…(28) and (29) is introduced in [25]. The indexing accuracy reliability sensitivity of the considered PTT to the random variable's and the wear process's means is shown in Fig.…”
Section: Indexing Accuracy Reliability and Its Sensitivity Of Pttmentioning
confidence: 99%
“…7. Here, the subfigures (1), (2), ……, (25) are the sensitivity curves to the means or the standard deviations of x 1 , x 2 , ......, x 25 respectively. The sensitivity to the means or the standard deviations of the tooth thickness wear processes of the lock gear disc, the rotating gear disc and the fixed gear disc are shown by the subfigures (26), (27) and (28) in Fig.…”
Section: Indexing Accuracy Reliability and Its Sensitivity Of Pttmentioning
“…The influence of each designed parameter on the structural reliability of the system is thoroughly revealed by the reliability sensitivity analysis, which provides a necessary theoretic basis for structural reliability-based robust and optimization design [1][2][3] . In recent years, both domestic and overseas researchers have made a distinct progress in reliability computation methods, including the finite difference method [4][5][6] , the first-order second-moment method or other higher order methods [7][8][9] , the method based on the perturbation theory [10][11][12][13][14] , the important sampling Monte-Carlo simulation method [15][16][17] , and the response surface approach [18][19][20] . Being one of moment methods, the perturbation theory method requires neither iteration nor the computation of derivatives and can easily solve the system reliability with multimode and multiple design points.…”
Based on the random perturbation technique for reliability sensitivity design, some realistic reliability-based sensitivity issues are discussed, some of which have a structure of high nonlinear performance functions. Combining the related theories of the moment method of the reliability analysis, the matrix differential, and the Kronecker algebra, the reliability-based sensitivity method based on the perturbation method is modified if the first four moments of random variables are given. Meanwhile, a reliability-based sensitivity computation method is proposed. Some examples are used to show that using this method can effectively improve the accuracy of the reliability-based sensitivity computation and offer a reliable theoretic basis in engineering.
“…A set useful sensitivity analy-sis in vibration reliability has practical applications within reliability-based design, m optimization of structural design, construction, maintenance and inspection under reliability constraints, in parameter studies of the reliability, and in reliability updating. Structural reliability sensitivity calculation methods are well developed (Madsen et at., 1986;Zhang et al, 2003;2005b). These publications have presented the efficient and accurate computational reliability sensi-tivity methods.…”
The reliability sensitivity analysis of uncertain multi-degree-of-freedom nonlinear vibration systems with independent failure modes subjected to random excitation is exanllned. An earlier version of the statistical fourthmoment method is extended to deal with vector-valued and matrix-valued functions and is developed to determine the fIrst four moments of the system response and state function. Random variables and system derivatives are conveniently arranged into 2D matrices by means of Kronecker algebra. The distribution function of the system state function is approximately dete=ined by the standard no=al distribution functions using Edgeworth series technique, and its reliability and reliability sensitivity are presented and discussed.
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