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

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 ve...

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Bibliographic Details
Published in:Computers & structures Vol. 86; no. 23; pp. 2095 - 2101
Main Authors: Chen, Su Huan, Ma, Liang, Meng, Guangwei
Format: Journal Article
Language:English
Published: Kidlington Elsevier Ltd 01.12.2008
Elsevier
Subjects:
Computational techniques
Dynamic response reanalysis
Epsilon-algorithm
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Large changes of structural parameters
Mathematical methods in physics
Neumann series expansion
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Dynamic response reanalysis
Epsilon-algorithm
Neumann series expansion
Large changes of structural parameters
Vibration
Newmark method
Series expansion
Structure modification
Neumann series
ISSN:0045-7949, 1879-2243
Online Access:Get full text
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Summary: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.
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content type line 23
ISSN:0045-7949
1879-2243
DOI:10.1016/j.compstruc.2008.07.004