Publishing Service

Polishing & Checking

Journal of Zhejiang University SCIENCE A

ISSN 1673-565X(Print), 1862-1775(Online), Monthly

Updated Bayesian detection of foundation parameter with Jeeves pattern search theory

Abstract: Updated Bayesian detection of foundation parameters in the specific foundation mechanical model was studied based on Jeeves pattern search theory. Firstly, the updated Bayesian objective function for general foundation parameters was derived which could synchronously take the stochastic property of systematic parameters and systematic responses into account. Then the governing differential equations for the Winkler foundation model were gained with elastic Mindlin plate theory and the Fourier close form solution of the foundation model was achieved with the Fourier transform method. After the step length of pattern movement was determined with the quadratic parabolic interpolation method, the updated Bayesian detection of stochastic foundation parameters was resolved with Jeeves pattern search theory and then the corresponding detection procedure was completed. Through particular example analysis, the updated Bayesian detection of stochastic foundation parameters has excellent numerical stability and convergence during iterative processes. Jeeves pattern search theory is unconcerned with the partial derivatives of systematic responses to foundation parameters, and undoubtedly has satisfactory iterative efficiency compared with the available Kalman filtering or conjugate gradient detections of the significant foundation parameters. If the iterative processes are efficiently convergent, it is an important prerequisite that the systematic response assignment should be accurate enough. The derived Jeeves pattern search method with updated Bayesian theory can be applied in other kinds of foundation parameters.

Key words: Jeeves pattern search theory; Updated Bayesian objective function; Detection; Foundation parameters; Fourier close form solution

Chinese Summary  <20> 基于Jeeves模式搜索理论地基参数的更新Bayes探测法

关键词组:Jeeves模式搜索理论;更新Bayes误差函数;探测;地基参数;Fourier闭式解


Share this article to: More

Go to Contents

References:

<HIDE>

[1]Al-Hammoud R, Soudki K, Topper TH, 2011. Fatigue flexural behavior of corroded reinforced concrete beams repaired with CFRP sheets. Journal of Composites for Construction, 15(1):42-51.

[2]Azevedo RF, Parreira AB, Zornberg JG, 2002. Numerical analysis of a tunnel in residual soils. Journal of Geotechnical and Geoenvironmental Engineering, 128(3):227-236.

[3]Belabed Z, Houari MSA, Tounsi A, et al., 2014. An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates. Composites Part B: Engineering, 60:274-283.

[4]Beldjelili Y, Tounsi A, Mahmoud SR, 2016. Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory. Smart Structures and Systems, 18(4):755-786.

[5]https://doi.org/10.12989/sss.2016.18.4.755

[6]Bennoun M, Houari MSA, Tounsi A, 2016. A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates. Mechanics of Advanced Materials and Structures, 23(4):423-431.

[7]Besseghier A, Houari MSA, Tounsi A, et al., 2017. Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory. Smart Structures and Systems, 19(6):601-614.

[8]https://doi.org/10.12989/sss.2017.19.6.601

[9]Bouderba B, Houari MSA, Tounsi A, 2013. Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations. Steel and Composite Structures, 14(1):85-104.

[10]https://doi.org/10.12989/scs.2013.14.1.085

[11]Bounouara F, Benrahou KH, Belkorissat I, et al., 2016. A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation. Steel and Composite Structures, 20(2):227-249.

[12]https://doi.org/10.12989/scs.2016.20.2.227

[13]Bourada M, Kaci A, Houari MSA, et al., 2015. A new simple shear and normal deformations theory for functionally graded beams. Steel and Composite Structures, 18(2):409-423.

[14]https://doi.org/10.12989/scs.2015.18.2.409

[15]Bousahla AA, Houari MSA, Tounsi A, et al., 2014. A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates. International Journal of Computational Methods, 11(6):1350082.

[16]Carrier III WD, 2005. Pipeline supported on a nonuniform Winkler soil model. Journal of Geotechnical and Geoenvironmental Engineering, 131(10):1301-1304.

[17]Cury A, Cremona C, Dumoulin J, 2012. Long-term monitoring of a PSC box girder bridge: operational modal analysis, data normalization and structural modification assessment. Mechanical Systems and Signal Processing, 33:13-37.

[18]Hamdia KM, Zhuang XY, He PF, et al., 2016. Fracture toughness of polymeric particle nanocomposites: evaluation of models performance using Bayesian method. Composites Science and Technology, 126:122-129.

[19]Hamdia KM, Silani M, Zhuang XY, et al., 2017. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 206(2):215-227.

[20]Hamidi A, Houari MSA, Mahmoud SR, et al., 2015. A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates. Steel and Composite Structures, 18(1):235-253.

[21]https://doi.org/10.12989/scs.2015.18.1.235

[22]Hebali H, Tounsi A, Houari MSA, et al., 2014. New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates. Journal of Engineering Mechanics, 140(2):374-383.

[23]Li TC, Lyu LX, Zhang SL, et al., 2015. Development and application of a statistical constitutive model of damaged rock affected by the load-bearing capacity of damaged elements. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 16(8):644-655.

[24]Liu XB, Solecki R, 2001. Green’s function for an infinite elastic plate on Winkler’s foundation. Journal of Engineering Mechanics, 127(3):305-307.

[25]Meziane MAA, Abdelaziz HH, Tounsi A, 2014. An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions. Journal of Sandwich Structures & Materials, 16(3):293-318.

[26]Nanthakumar SS, Lahmer T, Rabczuk T, 2013. Detection of flaws in piezoelectric structures using extended FEM. International Journal of Numerical Methods in Engineering, 96(6):373-389.

[27]Nanthakumar SS, Lahmer T, Zhuang X, et al., 2016. Detection of material interfaces using a regularized level set method in piezoelectric structures. Inverse Problems in Science and Engineering, 24(1):153-176.

[28]Silva MA, Swan CC, Arora JS, et al., 2001. Failure criterion for RC members under biaxial bending and axial load. Journal of Structural Engineering, 127(8):922-929.

[29]Sun J, Jiang SP, Yuan Y, et al., 1996. Stochastic Back Analysis Theory and Method of Geotechnical Mechanics. Shantou University Press, Shantou, China, p.68-90 (in Chinese).

[30]Tan P, Ma JE, Zhou J, et al., 2016. Sustainability development strategy of China’s high speed rail. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 17(12):923-932.

[31]Vu-Bac N, Lahmer T, Zhuang X, et al., 2016. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 100:19-31.

[32]Wen QJ, 2011. Long-term effect analysis of prestressed concrete box-girder bridge widening. Construction and Building Materials, 25(4):1580-1586.

[33]Xin Y, Zhang J, Han XD, et al., 2014. Research on ultimate load of highway prestressed concrete U-shaped continuous rigid frame bridge based on nonlinear finite method. Applied Mechanics and Materials, 501-504:1398-1402.

[34]Yahia SA, Atmane HA, Houari MSA, et al., 2015. Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories. Structural Engineering and Mechanics, 53(6):1143-1165.

[35]https://doi.org/10.12989/sem.2015.53.6.1143

[36]Zerwer A, Cascante G, Hutchinson J, 2002. Parameter estimation in finite element simulations of Rayleigh waves. Journal of Geotechnical and Geoenvironmental Engineering, 128(3):250-261.

[37]Zhang J, Ye JS, Tang XS, 2008. Kalman filtering identification of Winkler foundation’s parameter based on Mindlin theory. Rock and Soil Mechanics, 29(2):425-430 (in Chinese).

[38]Zhang J, Zhou CW, Lan WG, et al., 2010. Nonlinear dynamical identification of displacement parameters of multi-cell curve box based on Markov error theory. Chinese Journal of Applied Mechanics, 27(4):746-750 (in Chinese).

[39]Zhang J, Zhou CW, Jia C, et al., 2017. Powell inversion mechanical model of foundation parameters with generalized Bayesian theory. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 18(7):567-578.

[40]Zhao XM, 2007. Dynamic Bayesian identification of Winkler subgrade parameter based on Mindlin theory. Engineering Mechanics, 24(10):57-63 (in Chinese).

[41]Zidi M, Tounsi A, Houari MSA, et al., 2014. Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory. Aerospace Science and Technology, 34:24-34.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





DOI:

10.1631/jzus.A1700573

CLC number:

TU470

Download Full Text:

Click Here

Downloaded:

1934

Download summary:

<Click Here> 

Downloaded:

1584

Clicked:

3486

Cited:

0

On-line Access:

2018-06-04

Received:

2017-10-23

Revision Accepted:

2018-01-15

Crosschecked:

2018-08-13

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952276; Fax: +86-571-87952331; E-mail: jzus@zju.edu.cn
Copyright © 2000~ Journal of Zhejiang University-SCIENCE