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An adaptive time-based global method for dynamic reanalysis

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Abstract

The popular dynamic reanalysis methods, such as combined approximation (CA) mainly focus on frequency domain. Compared with time domain analysis, the main challenge for reanalysis methods is to calculate the responses in each iteration. Due to this difficulty, popular reanalysis methods are not available for time domain analysis, such as Newmark-\(\beta \) and central different method (CDF). Therefore, a novel adaptive time-based global reanalysis (ATGR) algorithm for Newmark-\(\beta \) method is suggested. If basis vectors are generated for predicting the response in each time step, computational cost of reanalysis should be significantly increased. To improve the efficiency, an adaptive reanalysis algorithm is suggested. Moreover, in order to enhance the accuracy of the popular combined algorithm (CA) reanalysis, a global strategy is suggested to construct basis vectors. Numerical examples show that accurate approximations are achieved efficiently for time domain problems.

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Acknowledgments

This work is supported by Project of National Science Foundation of China (NSFC) under the grant number 11172097 and 61232014; Program for New Century Excellent Talents in University under the grant number NCET-11-0131; the National 973 Program of China under the grant number 2010CB328005; Hunan Provincial Natural Science Foundation of China under the grant number 11JJA001.

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  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    Guoqiang Gao, Hu Wang & Guangyao Li

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  1. Guoqiang Gao
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  2. Hu Wang
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  3. Guangyao Li
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Correspondence to Guangyao Li.

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Gao, G., Wang, H. & Li, G. An adaptive time-based global method for dynamic reanalysis. Struct Multidisc Optim 48, 355–365 (2013). https://doi.org/10.1007/s00158-013-0930-9

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  • DOI: https://doi.org/10.1007/s00158-013-0930-9

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