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A novel time integration method for structural dynamics utilizing uniform quintic B-spline functions

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Abstract

The authors have proposed a new integration method for structural dynamics by utilizing uniform quintic B-spline polynomial interpolation. In this way, with two adjustable parameters, the proposed method is successfully formulated for solving of the differential equation of motion governing a SDOF system and later generalized for a MDOF system. In the proposed method, the straightforward recurrence formulas were derived based on quintic B-spline interpolation approximation and collocation method, and the calculation process for MDOF systems was also provided. Stability analysis shows that the proposed method can attain both conditional and unconditional stability. The validity of the proposed method is verified with three numerical simulations. Compared with the latest Bathe and Noh–Bathe methods, the proposed method not only has higher computation efficiency, but also possesses better numerical dissipation characteristics.

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Acknowledgments

This research is substantially supported by the Natural Science Foundation of Guangdong Province, China (Project No. S2013020012890).

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Authors and Affiliations

  1. Faculty of Mechanical and Electrical Engineering, Zhongkai University of Agriculture and Engineering, Guangzhou, People’s Republic of China

    W. Bin Wen & S. Ming Luo

  2. College of Aerospace Engineering, Chongqing University, Chongqing, People’s Republic of China

    W. Bin Wen & K. Lin Jian

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  1. W. Bin Wen
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  2. S. Ming Luo
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Correspondence to W. Bin Wen.

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Wen, W.B., Luo, S.M. & Jian, K.L. A novel time integration method for structural dynamics utilizing uniform quintic B-spline functions. Arch Appl Mech 85, 1743–1759 (2015). https://doi.org/10.1007/s00419-015-1016-5

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