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The explicit/31//32-Bathe time integration method
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DOI：10.1016/j.compstruc.2023.107092.png)
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Abstract
En 中文
In this paper we introduce the explicit /31//32-Bathe method for solving dynamic problems, in particular wave propagations. Like for the implicit /31//32-Bathe method, the proposed explicit scheme uses two sub-steps per time step and can be used directly as a first-order and a second-order method with the capability to suppress high spurious frequency response. In both sub-steps, standard Taylor series are employed resulting in an explicit solution scheme. The novelty is that we calculate the final displacements and velocities in each sub-step by applying correction terms using the generalized trapezoidal rule with control parameters /31 and /32. This approach makes the method a quite simple scheme. We consider the stability, accuracy and numerical dispersion and give recommendations on the parameter values /31 and /32 to be used in practice. We give the solutions of four problems, three of which are wave propagation problems, and compare the results with those obtained using other methods. While more experience in the use of the procedure is needed to understand its full solution capabilities, we can already conclude that the proposed method is effective in some wave propagation analyses. & COPY; 2023 Elsevier Ltd. All rights reserved.
Keywords:
Wave propagations
Direct time integration
Explicit integration
3 1
3 2-Bathe method
Stability and solution accuracy
Numerical damping
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4.8
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