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Accuracy of one-step integration schemes for damped/forced linear structural dynamics

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Academic year: 2021

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Figure 1. Scaled error dependency on the timestep using Krenk’s scheme on the scalar model problem with sinusoidal excitation ( a(t) = sin ωt ) and model parameters (ω 0 , ω) = (1, 2)
Table I. Summary of the accuracy levels observed for Krenk’s scheme, using the proposed framework
Figure 2. The left plot shows the variation of the ArRo scheme spectral radius when applied to the scalar undamped/unforced linear oscillator
Figure 3. The left plot shows the variation of the BoTr scheme spectral radius when applied to the scalar undamped/unforced linear oscillator
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