[1]洪俊,高效伟.基于复变量求导法的弹塑性边界元参数识别[J].东南大学学报(自然科学版),2010,40(5):1025-1028.[doi:10.3969/j.issn.1001-0505.2010.05.027]
 Hong Jun,Gao Xiaowei.Elastic-plastic parameter identification in BEM based on complex variable differentiation[J].Journal of Southeast University (Natural Science Edition),2010,40(5):1025-1028.[doi:10.3969/j.issn.1001-0505.2010.05.027]
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基于复变量求导法的弹塑性边界元参数识别()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
40
期数:
2010年第5期
页码:
1025-1028
栏目:
数学、物理学、力学
出版日期:
2010-09-20

文章信息/Info

Title:
Elastic-plastic parameter identification in BEM based on complex variable differentiation
作者:
洪俊1 高效伟2
1 东南大学土木工程学院,南京 210096; 2 大连理工大学航空航天学院,大连 116024
Author(s):
Hong Jun1 Gao Xiaowei2
1 School of Civil Engineering, Southeast University, Nanjing 210096, China
2 School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China
关键词:
参数识别 复变量求导法 边界元法
Keywords:
parameter identification complex variable differentiation BEM(boundary element method)
分类号:
O344.3
DOI:
10.3969/j.issn.1001-0505.2010.05.027
摘要:
为了解决弹塑性边界元参数识别问题,基于复变量求导法,提出了一种新方法.由于在非线性参数识别过程中,灵敏度矩阵计算困难,利用复变量求导法把隐式函数的求导过程转化为函数值的计算,最终高精度的识别非线性参数.针对弹塑性参数识别问题,以边界元法为基础,采用复变量求导法来计算位移对弹塑性参数的灵敏度矩阵,对弹性模量、泊松比、黏聚力以及内摩擦角进行了单参数和多参数识别.数值算例表明,所提出的方法对单参数和多参数的识别问题均有效可靠.相比文献中的有限元法,对于单参数识别问题,该方法具有更高精度; 而对于多参数识别问题,该方法在保证精度一致情况下效率更高.
Abstract:
In order to solve the problem of elastic-plastic parameter identification in BEM(boundary element method), a novel method based on complex variable differentiation is presented. Since the sensitivity matrix is difficult to evaluate in non-linear parameter identification, complex variable differentiation is used to transfer the partial derivative of the implicit function into evaluating the value of function, and then parameters can be identified with high precision. Based on BEM and using complex variable differentiation to evaluate the sensitivity matrix of displacement to parameters, the parameters such as the elastic modulus, Poisson ratio, cohesion and internal friction angle can be accurately identified. The results indicate that the presented method is efficient for single-parameter and coupling-parameters of elastic-plastic parameter identification. Compared with finite element method in reference, the presented method is more precise to the single-parameter problem, and is more efficient with the same precision to coupling-parameters problem.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介: 洪俊(1978—),男,讲师,junhong@seu.edu.cn.
基金项目: 国家自然科学基金资助项目(10872050)、东南大学科技基金资助项目(KJ2010406).
引文格式: 洪俊,高效伟.基于复变量求导法的弹塑性边界元参数识别[J].东南大学学报:自然科学版,2010,40(5):1025-1028. [doi:10.3969/j.issn.1001-0505.2010.05.027]
更新日期/Last Update: 2010-09-20