Powell's optimal identification of material constants of thin-walled box girders

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Powell's optimal identification of material constants of thin-walled box girders based on Fibonacci series search method

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i$o#Y WE0Abstract:A dynamic Bayesian error function of material constants of the structure is developed for thin-walled curve box girders. Combined with the automatic search scheme with an optimal step length for the one-dimensional Fibonacci series, Powell's optimization theory is used to perform the stochastic identification of material constants of the thin-walled curve box. Then, the steps in the parameter identification are presented.Powell's identification procedure for material constants of the thin-walled curve box is compiled, in which the mechanical analysis of the thin-walled curve box is completed based on the finite curve strip element (FCSE) method. Some classical examples show that Powell's identification is numerically stable and convergent, indicating that the present method and the compiled procedure are correct and reliable. During the parameter iterative processes, Powell's theory is irrelevant with the calculation of the FCSE partial differentiation, which proves the high computation efficiency of the studied methods.The stochastic performances of the system parameters and responses are simultaneously considered in the dynamic Bayesian error function. The one-dimensional optimization problem of the optimal step length is solved by adopting the Fibonacci series search method without the need of determining the region, in which the optimized step length lies.

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作者:水利论文N]?%X|,N w

v*o6Z6T mA.sA"W0Author:水利论文,l [*mk!{6s-LG6E

3e#U+? rl6i*b0Jian ZHANG[1] Jian-shu YE[2] Chu-wei ZHOU[1]

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#vZA3mI3_0Department of Mechanics and Structural Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.ChinaInstitute of Bridge Engineering, Southeast University, Nanjing 210096, P.R.China

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#~6hd)MQ1Wz{%z]-p0期 刊:水利论文*L(Eo&Q_| Ga

u$w6u6E#bU3]0应用数学和力学(英文版)水利论文L(g8tQ:z6f1ChW

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Journal:

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APPLIED MATHEMATICS AND MECHANICS

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2011, 32(1)

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Keywords:

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5RQfeu tU0J0Powell's theory

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J AeRj$[%i0thin-walled curve box水利论文%AA f `D*G4I

B4t ?v2b1yN0material constant

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Fibonacci series search method水利论文C*s:P'z#e s|

5NN9E%M'G-B+q j TV!L{0finite curve strip element theory

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机标分类号:

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Powell search Fibonacci based box girders material constants optimal step length error function parameter identification partial differentiation optimization problem optimization theory mechanical analysis identification of Bayesian dynamic structure processes region During

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]Qr%C8{ u1_l0基金项目:水利论文W^l$J e#` }cD

'Sd.~1@ S U-E ?0the National Natural Science Foundation of China,the National High-Tech Research and Development Program of China (863 Program)

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