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A straightforward high-order accurate time-marching procedure for dynamic analyses

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Abstract

In this paper, a novel time-marching procedure is proposed for dynamic analysis. The proposed new technique is fourth-order accurate for undamped models; third-order accurate for numerically damped models; and second-order accurate for physically damped models. The method is very straightforward to implement and to apply, allowing providing higher-order accurate time-domain solutions taking into account basically the same computational effort of standard single-step first- or second-order accurate time-marching procedures. Numerical examples are presented at the end of the paper, illustrating the excellent accuracy of the novel approach.

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Acknowledgements

The financial support by CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) 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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Correspondence to Delfim Soares Jr..

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Soares, D. A straightforward high-order accurate time-marching procedure for dynamic analyses. Engineering with Computers 38, 1659–1677 (2022). https://doi.org/10.1007/s00366-020-01129-1

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