1. A self-starting dissipative alternative to the central difference methods.
- Author
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Zhao, Rui, Li, Jinze, and Yu, Kaiping
- Subjects
- *
NUMERICAL analysis , *TRANSIENT analysis , *STRUCTURAL dynamics , *VELOCITY - Abstract
This paper focuses mainly on developing single-step explicit integration algorithms considering the implicit treatment of velocity. A novel explicit algorithm (GSSI) is proposed and recommended as a self-starting dissipative alternative to the central difference methods in transient analysis. GSSI not only shares the same advantages as the central difference methods, such as second-order accuracy and computational cost, but also achieves flexible dissipation control and self-starting property. Remarkably, GSSI provides a significantly larger stability bound than the central difference methods in the damped case. GSSI imposes two algorithmic parameters ( ρ s and ρ b ) to flexibly adjust numerical dissipation at the bifurcation point. In general, the ρ b controls numerical dissipation at the bifurcation point, while the ρ s further adjusts the amount of dissipation in the low-frequency range. Spectral analysis and numerical examples are given solved to show the superiority of GSSI over the existing single-step explicit methods with respect to accuracy, stability, and dissipation control. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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