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Your search keyword '"Zhao-Hui Lu"' showing total 13 results
Start Over Author "Zhao-Hui Lu" Journal journal of engineering mechanics
13 results on '"Zhao-Hui Lu"'

5. Time-Dependent Structural Reliability Assessment for Nonstationary Non-Gaussian Performance Functions

Author

Yan-Gang Zhao, Yu Leng, Chun-Qing Li, Chao-Huang Cai, and Zhao-Hui Lu

Subjects
Mechanical Engineering, Gaussian, Structural reliability, 020101 civil engineering, 02 engineering and technology, 0201 civil engineering, symbols.namesake, 020303 mechanical engineering & transports, Transformation (function), 0203 mechanical engineering, Mechanics of Materials, symbols, Quantitative Biology::Populations and Evolution, Applied mathematics, Performance function, Mathematics
Abstract

In this paper, a new analytical formula is proposed to determine the mean outcrossing rate of nonstationary non-Gaussian performance functions. The performance function is firstly transform...

Published
2021

6. Moment Method with Box–Cox Transformation for Structural Reliability

Author

Chao-Huang Cai, Yan-Gang Zhao, and Zhao-Hui Lu

Subjects
0209 industrial biotechnology, Computer science, Mechanical Engineering, Structural reliability, 020101 civil engineering, 02 engineering and technology, Power transform, 0201 civil engineering, Reliability engineering, Moment (mathematics), 020901 industrial engineering & automation, Mechanics of Materials, Performance function, Reliability (statistics)
Abstract

Structural reliability analysis involving highly nonnormally distributed performance functions or relatively small failure probabilities is still a challenging problem in engineering practi...

Published
2020

7. Monotonic Expression of Polynomial Normal Transformation Based on the First Four L-Moments

Author

Ming-Na Tong, Zhao-Hui Lu, Jun Xu, and Yan-Gang Zhao

Subjects
0209 industrial biotechnology, Polynomial, Pure mathematics, Mechanical Engineering, Boundary (topology), Monotonic function, 02 engineering and technology, Expression (mathematics), 020303 mechanical engineering & transports, 020901 industrial engineering & automation, Transformation (function), 0203 mechanical engineering, Mechanics of Materials, Random variable, Mathematics
Abstract

Structural reliability analysis without the exclusion of random variables with unknown distributions has attracted increasing attention, and many endeavors have been devoted to this aspect....

Published
2020

8. Simulating Stationary Non-Gaussian Processes Based on Unified Hermite Polynomial Model

Author

Chun-Qing Li, Zhao-Hui Lu, Xuan-Yi Zhang, Xiaowen Ji, Yan-Gang Zhao, and Zhao Zhao

Subjects
Hermite polynomials, Mechanical Engineering, Monte Carlo method, 020101 civil engineering, 02 engineering and technology, 0201 civil engineering, symbols.namesake, 020303 mechanical engineering & transports, 0203 mechanical engineering, Mechanics of Materials, symbols, Applied mathematics, Gaussian process, Excitation, Mathematics
Abstract

In determining structural responses under random excitation using the Monte Carlo method, simulation of non-Gaussian processes is always a challenge. Various methods have been developed to ...

Published
2020

9. Unified Hermite Polynomial Model and Its Application in Estimating Non-Gaussian Processes

Author

Zhao-Hui Lu, Xuan-Yi Zhang, and Yan-Gang Zhao

Subjects
Hermite polynomials, Computer science, Mechanical Engineering, 020101 civil engineering, 02 engineering and technology, Unified Model, 0201 civil engineering, symbols.namesake, 020303 mechanical engineering & transports, 0203 mechanical engineering, Mechanics of Materials, symbols, Applied mathematics, Gaussian process
Abstract

Non-Gaussian processes beset many aspects of structural engineering analysis. To estimate non-Gaussian processes, various third-order Hermite polynomial models have been proposed and widely...

Published
2019

10. Efficient Algorithm for Evaluation of Statistical Moments of Performance Functions

Author

Chao-Huang Cai, Zhao-Hui Lu, Yan-Gang Zhao, and Jun Xu

Subjects
Mathematical optimization, 020303 mechanical engineering & transports, 0203 mechanical engineering, Mechanics of Materials, Computer science, Efficient algorithm, Mechanical Engineering, 021105 building & construction, Perspective (graphical), 0211 other engineering and technologies, 02 engineering and technology
Abstract

Evaluating the statistical moments of performance functions from the perspective of balancing accuracy and efficiency remains a challenge. This paper proposes an efficient algorithm for eva...

Published
2019

11. Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation

Author

Zhao-Hui Lu and Jun Xu

Subjects
Moment (mathematics), Mechanics of Materials, Mechanical Engineering, Structural reliability, Applied mathematics, 020101 civil engineering, 010103 numerical & computational mathematics, 02 engineering and technology, 0101 mathematics, 01 natural sciences, 0201 civil engineering, Mathematics
Abstract

Estimation of statistical moments of performance functions is one of the main topics in structural reliability analysis by moment methods. It is possible to apply the well-developed multipl...

Published
2017

12. Evaluation of Moments of Performance Functions Based on Efficient Cubature Formulation.

Author

Jun Xu and Zhao-Hui Lu

Subjects
*CUBATURE formulas, *MONTE Carlo method
Abstract

Estimation of statistical moments of performance functions is one of the main topics in structural reliability analysis by moment methods. It is possible to apply the well-developed multiple-dimensional cubature formulas to assess such statistical moments. In this paper, a new criterion is proposed to fulfill the aim. Several efficient cubature formulas are firstly revisited. Then, a new criterion is proposed to select "the best" cubature formula that gives the most accurate statistical moments of performance functions. This criterion is established based on the marginal moments of input random variables. The cubature formula that provides the smallest difference between the estimated values and the exact values of marginal moments is determined as the adopted one for statistical moments of performance functions. Several numerical examples are presented to illustrate the effectiveness of the proposed criterion, in which Monte Carlo simulations are employed for comparison. [ABSTRACT FROM AUTHOR]

Published
2017
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13. Second-Order Fourth-Moment Method for Structural Reliability.

Author

Zhao-Hui Lu, Dong-Zhu Hu, and Yan-Gang Zhao

Subjects
*STRUCTURAL reliability, *STANDARD deviations, *STANDARDIZATION
Abstract

In the second-order reliability method (SORM), the failure probability is generally estimated based on parabolic approximation of the performance function. In the present paper, the first four moments (i.e., the mean, standard deviation, skewness, and kurtosis) of the second-order approximation of performance functions are obtained using the definition of the probability moment. Based on the recently developed fourth-moment standardization function, an explicit second-order fourth-moment reliability index is proposed for the estimation of failure probability corresponding to both the simple and general parabolic approximations. The simplicity and accuracy of the secondorder fourth-moment reliability index is demonstrated using numerical examples. It can be concluded that the proposed method is applicable to the second-order approximation of performance functions with strong nonnormality and is accurate enough to improve the existing SORM in structural reliability analysis with minimal additional computational effort. [ABSTRACT FROM AUTHOR]

Published
2017
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