摘要
提出了灵敏度分析和弹塑性参数反演的一种新方法.针对非线性参数反演过程中灵敏度计算困难的问题,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,进而高精度地计算出参数灵敏度.相对于常规的基于有限差分的灵敏度数值计算方法,该方法更为高效.以岩土工程中弹塑性参数反演问题为背景,给出了基于复域位移分析的参数反演过程,对弹性模量、泊松比、粘聚力以及内摩擦角进行了反演.数值算例表明,所提出的方法对单一参数和耦合参数的非线性反演问题均有效可靠,解决了参数反演时位移对反演参数不敏感问题.
A novel method was developed for sensitivity analysis and elasto-plastic parameter identification. Using complex variable differential method, partial differential of an implicit function is reduced to function numerical calculation in complex domain, and parameter sensitivity is computed more accurately and efficiently than using the traditional finite difference method. An inverse process method via complex domain displacement analysis was established for elasto-plastic parameter identification in geotechnical engineering. The elastic modulus, Poisson ratio, cohesion and friction angle were identified accurately. With numerical verification, the developed method is efficient and reliable for elasto-plastic parameter identification and nonlinear parametric inversing analysis.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第1期141-145,共5页
Journal of Southeast University：Natural Science Edition
基金
国家自然科学基金资助项目(50608016)
江苏省自然科学基金资助项目(BK2006091)
东南大学优秀青年教师资助计划项目.
关键词
复变量求导法
灵敏度分析
弹塑性参数反演
复域位移分析
complex variable differential method
sensitivity analysis
elasto-plastic parameter inversing
complex domain displacement analysis
