Reliability analysis of structures using stochastic response surface method and saddlepoint approximation

Huang, Xianzhen; Liu, Yang; Zhang, Yimin; Zhang, Xufang

doi:10.1007/s00158-016-1617-9

Cited by 22 publications

(6 citation statements)

References 44 publications

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“…The updated safety index gives vital information for decision making for the inspection and maintenance of OWT support structures. According to [50], the SRSM is a technique employed for RA of complex structural systems with time-consuming, implicit, or computational costly LSFs. The collection of sample points, the approximation of RS, and the estimation of the POF are the main aspects of the SRSM.…”

Section: Response Surface Methodsmentioning

confidence: 99%

A Systematic Review of Structural Reliability Methods for Deformation and Fatigue Analysis of Offshore Jacket Structures

Shittu

Kolios

Mehmanparast

2020

Metals

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This paper presents the state of the art in Structural Reliability Analysis (SRA) methods with a view of identifying key applications of each method and its proposed variations, qualifying characteristics, advantages, and limitations. Due to the increasing complexity and scale of modern offshore jacket structures, it becomes increasingly necessary to propose an accurate and efficient approach for the assessment of uncertainties in their material properties, geometric dimensions, and operating environments. SRA, as a form of uncertainty analysis, has been demonstrated to be a useful tool in the design of structures because it can directly quantify how uncertainty about input parameters can affect structural performance. Herein, attention was focused specifically on the probabilistic fracture mechanics approach because this accounts accurately for fatigue reliability mostly encountered as being dominant in the design of such structures. The well-established analytical/approximate methods such as the First- and Second-Order Reliability Methods (FORM/SORM) are widely used as they offer a good balance between accuracy and efficiency for realistic problems. They are, however, inaccurate in cases of highly non-linear systems. As a result, they have been modified using methods such as conjugate search direction approach, saddle point approximation, subset simulation, evidence theory, etc. in order to improve accuracy. Initially, direct simulations methods such as the Monte Carlo Simulation Method (MCS) with its various variance reduction techniques such as the Importance Sampling (IS), Latin Hypercube Sampling (LHS), etc. are ideal for structures having non-linear limit states but perform poorly for problems that calculate very low probabilities of failure. Overall, each method has its own merits and limitation, with FORM/SORM being the most commonly used, but recently, simulation methods have increasingly been used due to continuous advances in computation powers. Other relevant methods include the Response Surface Methods (RSM) and the Surrogate Models/Meta-models (SM/MM), which are advanced approximation methods and are ideal for structures with implicit limit state functions and high-reliability indices. Combinations of advanced approximation methods and reliability analysis methods are also found in literature as they can be suitable for complex, highly non-linear problems.

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Section: Response Surface Methodsmentioning

confidence: 99%

A Systematic Review of Structural Reliability Methods for Deformation and Fatigue Analysis of Offshore Jacket Structures

Shittu

Kolios

Mehmanparast

2020

Metals

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“…In equation ( 23), t s is the saddlepoint, the value is the solution of equation ( 24), and y is the variation range of Y = g(X), which can be seen in Huang et al 23 K 0…”

Section: Saddlepoint Approximation Methodsmentioning

confidence: 99%

The probabilistic modeling and reliability analysis of brake shoes for hoist disc brake with correlated failure modes

Ren

Chen

et al. 2020

Advances in Mechanical Engineering

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In view of the lack of reliability research with correlated failure modes of the hoist disk shoes, the stochastic finite element method was used to analyze the reliability of multi-failure mode under emergency braking condition of disk shoe for deep well hoist. First, the finite element model of friction pair of brake disk and brake shoe was established based on the theory of heat conduction, the stress of brake shoe was simulated, and the influence of different initial braking speeds on friction pair temperature and thermal stress is analyzed. Second, the Latin hypercube sampling method was used to perform the design of experiment and the data of the random experiment are obtained. The Kriging model was used to establish the functional relationship between the random variables and the stress and temperature of the brake shoe. Then, based on the method of saddlepoint approximation, the reliability evaluation was carried out considering stress and temperature failure. Finally, the system reliability evaluation of brake shoe considering the correlation of the two failure modes is carried out based on Frank copula.

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“…The collection of experimental sampling points plays an important role in the process of generating response surfaces, which is also the reason for the large error of the traditional RSM. To solve this problem, we use the MLSM (Huang et al , 2017; Choi et al , 2001). From the analysis, there are more experimental points than the undetermined coefficients of the response surface function.…”

Section: Application Of Effective Constrained Response Surface Methodsmentioning

confidence: 99%

“…Zhang et al (2015) improved the typical RSM and did case study to analyze the reliability of the project and demonstrated the validity of the digital program verification method. Huang et al (2017) used random RSM and saddle point approximation method for structural reliability analysis. Xiao and Guo (2016) introduced the RSM of the Gaussian process to approximate the LSF.…”

Section: Introductionmentioning

confidence: 99%

Application of a new local effective constrained response surface method in structural reliability optimization design

Lan

et al. 2019

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Purpose Meta-model method has been widely used in structural reliability optimization design. The main limitation of this method is that it is difficult to quantify the error caused by the meta-model approximation, which leads to the inaccuracy of the optimization results of the reliability evaluation. Taking the local high efficiency of the proxy model, this paper aims to propose a local effective constrained response surface method (LEC-RSM) based on a meta-model. Design/methodology/approach The operating mechanisms of LEC-RSM is to calculate the index of the local relative importance based on numerical theory and capture the most effective area in the entire design space, as well as selecting important analysis domains for sample changes. To improve the efficiency of the algorithm, the constrained efficient set algorithm (ESA) is introduced, in which the sample point validity is identified based on the reliability information obtained in the previous cycle and then the boundary sampling points that violate the constraint conditions are ignored or eliminated. Findings The computational power of the proposed method is demonstrated by solving two mathematical problems and the actual engineering optimization problem of a car collision. LEC-RSM makes it easier to achieve the optimal performance, less feature evaluation and fewer algorithm iterations. Originality/value This paper proposes a new RSM technology based on proxy model to complete the reliability design. The originality of this paper is to increase the sampling points by identifying the local importance of the analysis domain and introduce the constrained ESA to improve the efficiency of the algorithm.

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Reliability analysis of structures using stochastic response surface method and saddlepoint approximation

Cited by 22 publications

References 44 publications

A Systematic Review of Structural Reliability Methods for Deformation and Fatigue Analysis of Offshore Jacket Structures

A Systematic Review of Structural Reliability Methods for Deformation and Fatigue Analysis of Offshore Jacket Structures

The probabilistic modeling and reliability analysis of brake shoes for hoist disc brake with correlated failure modes

Application of a new local effective constrained response surface method in structural reliability optimization design

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