A direct method for updating mass and stiffness matrices with submatrix constraints

The finite element model errors mainly come from the complex parts of the geometry, boundary conditions and stress state of the structure. Therefore, the problem for updating mass and stiffness mat...

[1]  M. Chu,et al.  On the Least Squares Solution of Inverse Eigenvalue Problems , 1996 .

[2]  M. Saunders,et al.  Towards a Generalized Singular Value Decomposition , 1981 .

[3]  L. Ljung,et al.  Hard frequency-domain model error bounds from least-squares like identification techniques , 1992 .

[4]  Xiaobin Mao,et al.  Finite element model updating with positive definiteness and no spill-over , 2012 .

[5]  Kenneth R. Driessel,et al.  The projected gradient methods for least squares matrix approximations with spectral constraints , 1990 .

[6]  Yongxin Yuan,et al.  A model updating method for undamped structural systems , 2008 .

[7]  M. Baruch.  Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests , 1978 .

[8]  B. Datta,et al.  An optimization technique for damped model updating with measured data satisfying quadratic orthogonality constraint , 2009 .

[9]  Zhengjian Bai.  Symmetric tridiagonal inverse quadratic eigenvalue problems with partial eigendata , 2008 .

[10]  Wei Xu,et al.  Tikhonov regularization for weighted total least squares problems , 2007, Appl. Math. Lett..

[11]  Alex Berman,et al.  Mass Matrix Correction Using an Incomplete Set of Measured Modes , 1979 .

[12]  Dongxiu Xie.  A numerical method of structure-preserving model updating problem and its perturbation theory , 2011, Appl. Math. Comput..

[13]  Eun-Taik Lee,et al.  Correction of stiffness and mass matrices utilizing simulated measured modal data , 2009 .

[14]  A. Kabe.  Stiffness matrix adjustment using mode data , 1985 .

[15]  Yongxin Yuan,et al.  Inverse problems for symmetric matrices with a submatrix constraint , 2007 .

[16]  Jean-Pierre Aubin,et al.  Applied Functional Analysis: Aubin/Applied , 2000 .

[17]  Hua Dai,et al.  The nearness problems for symmetric matrix with a submatrix constraint , 2008 .

[18]  Cheng-shung Lin,et al.  Location of modeling errors using modal test data , 1990 .

[19]  Yi Gong,et al.  Submatrix constrained least-squares inverse problem for symmetric matrices from the design of vibrating structures , 2019, J. Comput. Appl. Math..

[20]  Hao Liu,et al.  Inverse problems for nonsymmetric matrices with a submatrix constraint , 2007, Appl. Math. Comput..

[21]  Masoud Hajarian,et al.  Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints , 2018, Comput. Math. Appl..

[22]  Kang Zhao,et al.  Application of the alternating direction method for an inverse monic quadratic eigenvalue problem , 2014, Appl. Math. Comput..

[23]  M. Chu,et al.  Spillover Phenomenon in Quadratic Model Updating , 2008 .

[24]  Richard G. Cobb,et al.  Structural Damage Identification Using Assigned Partial Eigenstructure , 1997 .

[25]  Quan Yuan,et al.  Alternating direction method for structure-persevering finite element model updating problem , 2013, Appl. Math. Comput..

[26]  Tae W. Lim,et al.  Submatrix approach to stiffness matrix correction using modal test data , 1990 .