A New Sampling Approach for Response Surface Method Based Reliability Analysis and Its Application

Meng, Xin-Jia; Jing, Shikai; Zhang, Li-Xiang; Liu, Jihong; Yang, Haicheng

doi:10.1155/2014/305473

Cited by 14 publications

(6 citation statements)

References 33 publications

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“…e LSF with two random variables is as follows [17]: ANN is used to establish the LSF and define the specific value ε…”

Section: Case 1: First Verification Problemmentioning

confidence: 99%

“…While it is easy to combine FEA with the MCS method to conduct reliability analysis, this method is computationally expensive. In recent years, metamodeling techniques have been developed to overcome this issue, such as the model tree (MT), evolutionary polynomial regression (EPR), multivariate adaptive regression spline (MARS), gene expression programming (GEP) [15], response surface method (RSM) [16][17][18], support vector machine [19,20], kriging surrogate model [21][22][23][24], and ANN [25][26][27][28][29][30][31][32]. Metamodeling techniques are adopted to establish the approximate models, which can replace the original implicit LSF.…”

Section: Introductionmentioning

confidence: 99%

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Vibration Reliability Analysis of Drum Brake Using the Artificial Neural Network and Important Sampling Method

2021

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This research aims to evaluate the calculation accuracy and efficiency of the artificial neural network-based important sampling method (ANN-IS) on reliability of structures such as drum brakes. The finite element analysis (FEA) result is used to establish the ANN sample in ANN-based reliability analysis methods. Because the process of FEA is time-consuming, the ANN sample size has a very important influence on the calculation efficiency. Two types of ANNs used in this study are the radial basis function neural network (RBF) and back propagation neural network (BP). RBF-IS and BP-IS methods are used to conduct reliability analysis on training samples of three different sizes, and the results are compared with several reliability analysis methods based on ANNs. The results show that the probability of failure of the RBF-IS method is closer to that of the Monte-Carlo simulation method (MCS) than those of other methods (including BP-IS). In addition, the RBF-IS method has better calculation efficiency than the other methods considered in this study. This research demonstrates that the RBF-IS method is well suited to structure reliability problems.

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“…e LSF with two random variables is as follows [17]: ANN is used to establish the LSF and define the specific value ε…”

Section: Case 1: First Verification Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibration Reliability Analysis of Drum Brake Using the Artificial Neural Network and Important Sampling Method

2021

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“…Notably, the distributions of random variables are varied and include the uniform, Weibull, and normal distributions. The normal distribution is among the most widely used ones, and other distributions can be converted into it using a certain approach [27]. The most commonly used transformation is given by Rackwitz and Flessler [28]…”

Section: Subsystem Optimizationmentioning

confidence: 99%

Multidisciplinary Inverse Reliability Analysis Based on Collaborative Optimization with Combination of Linear Approximations

Meng

Jing

Wang

et al. 2015

Mathematical Problems in Engineering

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Multidisciplinary reliability is an important part of the reliability-based multidisciplinary design optimization (RBMDO). However, it usually has a considerable amount of calculation. The purpose of this paper is to improve the computational efficiency of multidisciplinary inverse reliability analysis. A multidisciplinary inverse reliability analysis method based on collaborative optimization with combination of linear approximations (CLA-CO) is proposed in this paper. In the proposed method, the multidisciplinary reliability assessment problem is first transformed into a problem of most probable failure point (MPP) search of inverse reliability, and then the process of searching for MPP of multidisciplinary inverse reliability is performed based on the framework of CLA-CO. This method improves the MPP searching process through two elements. One is treating the discipline analyses as the equality constraints in the subsystem optimization, and the other is using linear approximations corresponding to subsystem responses as the replacement of the consistency equality constraint in system optimization. With these two elements, the proposed method realizes the parallel analysis of each discipline, and it also has a higher computational efficiency. Additionally, there are no difficulties in applying the proposed method to problems with nonnormal distribution variables. One mathematical test problem and an electronic packaging problem are used to demonstrate the effectiveness of the proposed method.

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“…Such methods replace the performance function with a surrogate model which can improve the computational efficiency evidently. The surrogate models include Support Vector Machine [11,12], Response Surface [13,14], Neural Networks [15], Polynomial Chaos Expansions [16], Kriging [17][18][19], and so on.…”

Section: Introductionmentioning

confidence: 99%

An Efficient and Time-Saving Reliability Analysis Strategy for Complex Mechanical Structure

et al. 2020

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With the development of production technology, the mechanical structure has become more and more complicated, which makes the simulation process of the corresponding computer model very time-consuming. As a result, the reliability analysis needs to consume huge time resources. To deal with this problem, an improved method, which balances the accuracy of failure probability and the efficiency of computation, is proposed. The novelty of the proposed method is the use of an efficient point selection strategy, the k-means algorithm, and the constraint of correlation among the training points. The k-means algorithm can divide the candidate points into a few groups. Therefore, we can update the Kriging model by selecting several sample points which have large contributions to improve the accuracy of failure probability in each iteration. Meanwhile, a constraint is applied to control the relative location among points of DoE to avoid redundant information. The efficiency and accuracy of the proposed method are verified through two numerical examples. Finally, a type of artillery coordination system as a representative of the complex mechanisms is mentioned. And the proposed method is applied to calculate the reliability of the position accuracy of the coordination process, which proves the significance of the proposed method in engineering practice.

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A New Sampling Approach for Response Surface Method Based Reliability Analysis and Its Application

Cited by 14 publications

References 33 publications

Vibration Reliability Analysis of Drum Brake Using the Artificial Neural Network and Important Sampling Method

Vibration Reliability Analysis of Drum Brake Using the Artificial Neural Network and Important Sampling Method

Multidisciplinary Inverse Reliability Analysis Based on Collaborative Optimization with Combination of Linear Approximations

An Efficient and Time-Saving Reliability Analysis Strategy for Complex Mechanical Structure

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