Application of the response surface methods to solve inverse reliability problems with implicit response functions

Cheng, Jin; Li, Qiusheng

doi:10.1007/s00466-008-0320-0

Cited by 42 publications

(21 citation statements)

References 13 publications

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“…The response surface technology is to use a hyper surface to approximately substitute the relationship between the input and output of the actual complicated structure [5], [6]. The specific steps of method in this paper:…”

Section: B Calculation Stepsmentioning

confidence: 99%

Probability-Based Research on Sensitivity of Saddle-Shaped Cables Suspended

Liu¹,

Luo²

2013

IJET

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Abstract-Performance-based structural analysis is the main trend of the future development of engineering design; probability-based sensitivity can reflect the importance of different parameters in the structural performance-based design. Therefore based on the response surface method, the reliability analysis program has been established, within which the sensitivity analysis of different parameters, such as the prestress, cable sectional area, cable strength and elastic modulus of saddle-shaped cable suspended, was conducted. And the corresponding sensitivity coefficient has been given, which can not only be used as a reference to the design of structure, but also can check the rationality of the structure design.

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Section: B Calculation Stepsmentioning

confidence: 99%

Probability-Based Research on Sensitivity of Saddle-Shaped Cables Suspended

Liu¹,

Luo²

2013

IJET

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“…To address the computational efficiency with the acceptable accuracy, the surrogate model method (also known as the response surface method (RSM)) was developed for probabilistic analysis. Cheng and Li [16] employed RSM to solve the inverse structural reliability problems with implicit functions. Allaix and Carbone [17] used an improved RSM to evaluate structural reliability.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Reliability Design of Multicomponent Structure with Improved Weighted Regression Distributed Collaborative Surrogate Model Method

Dong

Zhu

et al. 2018

Advances in Materials Science and Engineering

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For dynamic reliability design of complex structures with multiple components, an improved weighted regression distributed collaborative surrogate model method (IWRDCSMM) is developed from the extremum response surface method (ERSM), decomposed-coordinated thought, and improved weighted regression principle. e ERSM is used to address the dynamic reliability and sensitivity analyses of multicomponent structures and enhance the computing efficiency. e decomposedcoordinated thought is applied to handle the relationship among multiple components. e improved weighted regression method is used to find the efficient samples with smaller errors to improve the modeling accuracy. e proposed method is first introduced for dynamic probabilistic analysis (including reliability analysis and sensitivity analysis) of multicomponent structures. e method is then mathematically modeled by adopting the efficient samples selected based on the improved weighted regression method. Finally, the radial deformation dynamic probabilistic analysis of an aeroengine turbine blisk assembled by blade and disk is accomplished, in respect of the IWRDCSMM, fluid-thermal-structure interaction, and the randomness of input parameters within the time domain [0, T]. e results illustrate that the reliability degree of turbine blisk radial deformation is 0.9951 when the allowable value u allow is 2.30 × 10 −3 m, and all the input parameters affecting the turbine blisk radial deformation are gas temperature, angular speed, inlet velocity, outlet pressure, material density, and inlet pressure, successively. As revealed by the comparison of different methods, the IWRDCSMM has high fitting speed and simulation efficiency with the guarantee of accuracy. e efforts of this study provide a promising dynamic probabilistic analysis technique for complex structures with multiple components and enrich mechanical reliability theory.

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“…The approximations differ significantly for various numbers of sample points and their locations [18]. Scholars have attempted different sampling approaches for RSM, of which the well-known ones are Bucher experimental design, central composite design [19], full factorial design [20], uniform design [21], gradient projection method, and the continuous linear interpolation of high-precision RSM [22]. Either the gradient projection method or continuous linear interpolation can be employed to select the sampling point on the limit state equation.…”

Section: Advances In Mechanical Engineeringmentioning

confidence: 99%

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

Meng

Jing

Zhang

et al. 2014

Advances in Mechanical Engineering

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A response surface method based on the all sample point interpolation approach (ASPIA) is proposed to improve the efficiency of reliability computation. ASPIA obtains new sample points through linear interpolation. These new sample points are occasionally extremely dense, thus easily generating an ill-conditioned problem for approximation functions. A mobile most probable failure point strategy is used to solve this problem. The advantage of the proposed method is proven by two numerical examples. With the ASPIA, the approximated process can rapidly approach the actual limit equation with accuracy. Additionally, there are no difficulties in applying the proposed ASPIA to the response surface model with or without cross terms. Solution results for the numerical examples indicate that the use of the response surface function with cross terms increases time cost, but result accuracy cannot be improved significantly. Finally, the proposed method is successfully used to analyze the reliability of the hydraulic cylinder of a forging hydraulic press by combining MATLAB and ANSYS software. The engineering example confirms the practicality of this method.

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Application of the response surface methods to solve inverse reliability problems with implicit response functions

Cited by 42 publications

References 13 publications

Probability-Based Research on Sensitivity of Saddle-Shaped Cables Suspended

Probability-Based Research on Sensitivity of Saddle-Shaped Cables Suspended

Dynamic Reliability Design of Multicomponent Structure with Improved Weighted Regression Distributed Collaborative Surrogate Model Method

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

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