Powell’s Optimal Identification of Material Constants of Thin-Walled Box Girders Based on Fibonacci Series Search Method
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摘要: 对于薄壁弯箱结构,推导了材料常数的动态Bayes误差函数,提出步长的一维Fibonacci序列自动寻优方案后,利用Powell优化理论研究了薄壁弯箱材料常数的动态识别方法,同时给出了具体的计算步骤,并研制了相应的计算程序.算例分析表明,Powell理论用于弯箱材料常数识别时表现出良好的数值稳定性和收敛性,在迭代过程中,Powell理论不涉及有限元偏导数处理,与以往材料常数的梯度优化方法相比,计算效率较高;建立的动态Bayes误差函数能同时计入系统参数的随机性和系统响应的随机性;提出的Fibonacci序列寻优方案无需通过试算确定最优步长所在区间,有效地解决最优步长的一维自动寻优问题.
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关键词:
- Powell理论 /
- 薄壁弯箱 /
- 材料常数 /
- Fibonacci序列寻优法 /
- FCSE理论
Abstract: For thin-walled curve box girders,dynamic Bayesian error function of material constants of the structure was founded.Combined with one-dimensional Fibonacci series automatic search scheme of optimal step length,the Powell's optimization theory was utilized to perform the stochastic identification of material constants of thin-walled curve box.Then the steps of parameters'identification were presented in detail and the Powell's identification procedure of material constants of thin-walled curve box was compiled,in which the mechanical analysis of thin-walled curve box was completed based on finite curve strip element(FCSE)method.Through some classic examples,it is obtained that the Powell's identification of material constants of thin-walled curve box has numerical stability and convergence,which demonstrates that the present method and the compiled procedure are correct and reliable.And during parameters'iterative processes,the Powell's theory is irrelevant with the calculation of FCSE's partial differentiation, which proves high computation efficiency of the studied methods.The stochastic performances of systematic parameters and systematic responses are simultaneously deliberated in dynamic Bayesian error function. The one-dimensional optimization problem of the optimal step length is solved by adopting Fibonacci series search method and there is no need to determine the region in which the optimized step length lies. -
[1] Sennah Khaled M, Kennedy John B. Literature review in analysis of box-girder bridges[J]. Journal of Bridge Engineering, 2002, 7(2): 134-143. doi: 10.1061/(ASCE)1084-0702(2002)7:2(134) [2] Babu K, Devdas M. Correction of errors in simplified transverse bending analysis of concrete box-girder bridges[J]. Journal of Bridge Engineering, 2005, 10(6): 650-657. doi: 10.1061/(ASCE)1084-0702(2005)10:6(650) [3] 张剑, 叶见曙, 赵新铭. 基于Novozhilov理论薄壁弯箱位移参数的动态Bayes估计[J]. 工程力学, 2007, 24(1): 71-77.(ZHANG Jian, YE Jian-shu, ZHAO Xin-ming. Dynamic Bayesian estimation of displacement parameters of thin-walled curve box based on Novozhilov theory[J]. Engineering Mechanics, 2007, 24(1): 71-77.(in Chinese)) [4] 赵振铭, 陈宝春. 杆系与箱型梁桥结构分析及程序设计[M]. 广州: 华南理工大学出版社, 1997.(ZHAO Zhen-Ming, CHEN Bao-chun. Analysis of Pole System and Box Girders Bridge and Program Designing[M]. Guangzhou: Huanan University of Science and Engineering Press, 1997.(in Chinese)) [5] 魏新江, 张金菊, 张世民. 盾构隧道施工引起地面最大沉降探索[J]. 岩土力学, 2008, 29(2): 445-448.(WEI Xin-jiang, ZHANG Jin-ju, ZHANG Shi-min. Grope for shield tunnel construction induced ground maximal settlement[J]. Rock and Soil Mechanics, 2008, 29(2): 445-448.(in Chinese)) [6] Hinton E, Owen D R J. Finite Element Software for Plates and Shells[M]. Swansea,UK: Pineridge Press Ltd, 1984. [7] Chi S Y, Chern J C, Lin C C. Optimized back-analysis for tunneling-induced ground movement using equivalent ground loss model[J]. Tunnelling and Underground Space Technology, 2001, 16(3): 159-165. doi: 10.1016/S0886-7798(01)00048-7 [8] Modak S V, Kundra T K, Nakra B C. Prediction of dynamic characteristics using updated finite element models[J]. Joumal of Sound and Vibration, 2002, 254(3): 447-467. doi: 10.1006/jsvi.2001.4081 [9] 李海生. 多梁式混凝土梁桥的有限元模型修正技术研究[D]. 硕士学位论文. 南京: 东南大学, 2009.(LI Hai-sheng. Research on finite element model updating of multi-girder concrete bridges[D]. Master Thesis. Nanjing: Southeast University, 2009.(in Chinese)) [10] 张剑, 叶见曙, 王承强. 基于共轭梯度法带隔板连续薄壁直箱位移参数的动态Bayes估计[J]. 计算力学学报, 2008, 25(4): 574-580.(Zhang J, Ye J S, Wang C Q. Dynamic Bayesian estimation of displacement parameters of continuous thin walled straight box with segregating slab based on CG method[J]. Chinese Journal of Computational Mechanics, 2008, 25(4): 574-580.(in Chinese)) [11] 张剑, 叶见曙, 赵新铭. 基于Novozhilov理论连续弯箱位移参数的动态Bayes估计[J]. 应用数学和力学, 2007, 28(1): 77-84.(Zhang J, Ye J S, Zhao X M. Dynamic Bayesian estimation of displacement parameters of continuous curve box based on Novozhilov theory[J]. Applied Mathematics and Mechanics(English Edition), 2007, 28(1): 77-84.) [12] Luo Q Z, Li Q S, Tang J. Shear lag in box girder bridges[J]. Journal of Bridge Engineering, 2002, 7(5): 308-313. doi: 10.1061/(ASCE)1084-0702(2002)7:5(308) [13] 薛毅. 最优化原理与方法[M]. 北京: 北京工业大学出版社, 2001.(XUE Yi. Optimization Theory and Method[M]. Beijing: Beijing University of Technology Press, 2001.(in Chinese))
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