IMPROVED NONLINEAR ANALYTICAL METHOD FOR DAMAGE IDENTIFICATION OF FRAME STRUCTURES

Yang Youfa; Li Yingjun; Zhao Zhonghua

doi:10.13204/j.gyjz201107006

Volume 41 Issue 7

Dec. 2014

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Yang Youfa, Li Yingjun, Zhao Zhonghua. IMPROVED NONLINEAR ANALYTICAL METHOD FOR DAMAGE IDENTIFICATION OF FRAME STRUCTURES[J]. INDUSTRIAL CONSTRUCTION, 2011, 41(7): 26-30. doi: 10.13204/j.gyjz201107006

Citation:

Yang Youfa, Li Yingjun, Zhao Zhonghua. IMPROVED NONLINEAR ANALYTICAL METHOD FOR DAMAGE IDENTIFICATION OF FRAME STRUCTURES[J]. INDUSTRIAL CONSTRUCTION, 2011, 41(7): 26-30. doi: 10.13204/j.gyjz201107006

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IMPROVED NONLINEAR ANALYTICAL METHOD FOR DAMAGE IDENTIFICATION OF FRAME STRUCTURES

doi: 10.13204/j.gyjz201107006

1.
1. Key Lab of Education Ministry for Construction and New Technology of Mountain Cities,Chongqing University,Chongqing 400045,China;
2.
2. College of Civil Engineering,Chongqing University,Chongqing 400045,China

Received Date: 2010-11-08
Publish Date: 2011-07-20

Abstract

Abstract

The generalized inverse technique was used to solve the first order equation,and the trust-region reflective Newton method was used to solve the second order sensitivity equation.Considering the fast solving speed by the first order sensitivity equation and the high solving precision by the second order equation,a mixed iteration algorithm which was applied in structure damage detection was put forward.This algorithm uses the second order nonlinear analytical solution as the first substituting value,and then the first substituting value is modified based on the taylor series bias error using the solution of the first order sensitivity equation.The modal analysis program and damage identification program about space frame based on the finite element theory were carried out.Damage identification was studied using the mixed iteration algorithm which was mentioned in this paper.It shows that the mixed iteration algorithm has a better convergence and a faster iteration speed because the higher precision second order nonlinear analytical solution is adopted.
- frame structure,
- damage identification,
- first order iterative algorithm,
- nonlinear analytical method,
- mixed iterative algorithm

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References(6)

References

张德文,魏阜旋.模型修正与破损诊断[M].北京;科学出版社,1999;32-86.

[2] 王居林,唐寿高.结构损伤识别的非线性直接解析法[J].力学季刊,2007,28(1);142-148.

[3] Fox R L, Kapoor M P.Rates of Change of Eigenvalues and Eigenvectors[J]. AIAA Journal,1998,12(2);42-53.

[4] 梁文广.框架结构模型修正与损伤识别研究[D].重庆;重庆大学,2009.

[5] Coleman T F, Li Y.An Interior Trust Region Apporoach for Nonlinear Minimization Subject to Bounds[J]. SIAM Journal on Optimization,2006,16(2);418-445.

[6] Coleman T F, Li Y.On the Convergence of Reflective Newton Methods for Large-Scale Nonlinear Minimization Subject to Bounds[J]. Mathematical Programming,2004,67(2);189-224.

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