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基于Fibonacci序列寻优理论薄壁弯箱材料常数的Powell优化识别

张剑 叶见曙 周储伟

张剑, 叶见曙, 周储伟. 基于Fibonacci序列寻优理论薄壁弯箱材料常数的Powell优化识别[J]. 应用数学和力学, 2011, 32(1): 93-102. doi: 10.3879/j.issn.1000-0887.2011.01.010
引用本文: 张剑, 叶见曙, 周储伟. 基于Fibonacci序列寻优理论薄壁弯箱材料常数的Powell优化识别[J]. 应用数学和力学, 2011, 32(1): 93-102. doi: 10.3879/j.issn.1000-0887.2011.01.010
ZHANG Jian, YE Jian-shu, ZHOU Chu-wei. Powell’s Optimal Identification of Material Constants of Thin-Walled Box Girders Based on Fibonacci Series Search Method[J]. Applied Mathematics and Mechanics, 2011, 32(1): 93-102. doi: 10.3879/j.issn.1000-0887.2011.01.010
Citation: ZHANG Jian, YE Jian-shu, ZHOU Chu-wei. Powell’s Optimal Identification of Material Constants of Thin-Walled Box Girders Based on Fibonacci Series Search Method[J]. Applied Mathematics and Mechanics, 2011, 32(1): 93-102. doi: 10.3879/j.issn.1000-0887.2011.01.010

基于Fibonacci序列寻优理论薄壁弯箱材料常数的Powell优化识别

doi: 10.3879/j.issn.1000-0887.2011.01.010
基金项目: 国家自然科学基金资助项目(10472045;10772078;11072108);国家高技术研究发展计划(863)资助项目(2007AA11Z106)
详细信息
    作者简介:

    张剑(1978- ),男,安徽青阳人,博士(联系人.Tel:+86-25-83713137;E-mail:zjmech@163.com).

  • 中图分类号: O221.2;TU375

Powell’s Optimal Identification of Material Constants of Thin-Walled Box Girders Based on Fibonacci Series Search Method

  • 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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出版历程
  • 收稿日期:  2010-08-29
  • 修回日期:  2010-12-01
  • 刊出日期:  2011-01-15

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