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Dynamic response reanalysis for modified structures under arbitrary excitation using epsilon-algorithm

COMPUTERS & STRUCTURES 2008年第23-24期86卷 2095-2101页

作者： Chen, Su Huan Ma, Liang Meng, Guangwei Jilin Univ Dept Mech Changchun 130025 Peoples R China

Using the Neumann series and epsilon-algorithm. a new dynamic response reanalysis method for modified structures under arbitrary excitation is developed. Based on the Newmark method, the approximate displacement responses in each time step can be obtained by using the epsilon-algorithm. The basis vectors obtained by the Neumann series expansion can be used to construct the vector sequences in the epsilon-algorithm table. Two numerical examples are given to demonstrate the applications of the proposed method. The comparisons of the proposed method, the full analysis of the Newmark method and the Kirsch method are given in the first numerical example. (C) 2008 Elsevier Ltd. All rights reserved.

关键词： Dynamic response reanalysis large changes of structural parameters Epsilon-algorithm Neumann series expansion

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Eigensolution reanalysis of modified structures using epsilon-algorithm

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2006年第13期66卷 2115-2130页

作者： Chen, Su Huan Wu, Xiao Ming Yang, Zhi Jun Jilin Univ Dept Mech Changchun 130025 Peoples R China

Based on the Neumann series expansion and epsilon-algorithm, a new eigensolution reanalysis method is developed. In the solution process, the basis vectors can be obtained using the matrix perturbation or the Neumann series expansion to construct the vector sequence, and then using the epsilon algorithm table to obtain the approximate eigenvectors. The approximate eigenvalues are computed from the Rayleigh quotients. The solution steps are straightforward and it is easy to implement with the general finite element analysis system. Two numerical examples, a 40-storey frame and a chassis structure, are given to demonstrate the application of the present method. By comparing with the exact solutions and the Kirsch method solutions, it is shown that the excellent results are obtained for very large changes in the design, and that the accuracy of the epsilon-algorithm is higher than that of the Kirsch method and the computation time is less than that of the Kirsch method. Copyright P (c) 2005 John Wiley & Sons, Ltd.

关键词： eigensolution reanalysis large changes of structural parameters epsilon-algorithm Neumann series expansion matrix perturbation

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