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Nonlinear dynamic analysis considering explicit and implicit time marching techniques with adaptive time integration parameters

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Abstract

In this work, adaptive explicit and implicit time marching techniques are proposed to analyze nonlinear dynamic models. In these time marching adaptive procedures, the adopted time integration parameters modify themselves along the solution process, in accordance with the varying properties and results of the model. Thus, the time integrators are locally evaluated, assuming different values along the spatial and temporal discretizations, enabling more accurate and efficient solution techniques. Numerical results are presented along the manuscript, illustrating the good performance of the proposed space/time adaptive explicit and implicit time marching strategies for nonlinear analyses.

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Acknowledgements

The financial support by CNPq (conselho nacional de desenvolvimento científico e tecnológico), CAPES (coordenação de aperfeiçoamento de pessoal de nível superior) and FAPEMIG (fundação de amparo à Pesquisa do estado de minas gerais) is greatly acknowledged.

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  1. Structural Engineering Department, Federal University of Juiz de Fora, Juiz de Fora, MG, CEP 36036-330, Brazil

    Delfim Soares Jr.

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  1. Delfim Soares Jr.
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Soares, D. Nonlinear dynamic analysis considering explicit and implicit time marching techniques with adaptive time integration parameters. Acta Mech 229, 2097–2116 (2018). https://doi.org/10.1007/s00707-017-2104-0

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  • DOI: https://doi.org/10.1007/s00707-017-2104-0

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