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Time Integration Method with High Accuracy and Efficiency for Structural Dynamic Analysis
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DOI：10.1061/(ASCE)EM.1943-7889.0001574.png)
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Abstract
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In this study, a novel composite time integration method is proposed for more accurately and efficiently solving typical structural dynamic problems. In this method, the second-order accuracy is ensured for dynamic problems. First, the stability, accuracy properties, local truncation error, and global error are analyzed and compared with available state-of-the-art methods in the literature. Then, three sets of parameters are recommended and discussed, and optimization of these parameters results in a high accuracy and efficiency of the proposed method. Finally, three classical examples with high-frequency vibrations, where a large ratio of the time step size to the period is adopted, are presented to demonstrate the accuracy, efficiency, and applicability of the proposed method.
Keywords:
Composite integration method
Stability limit
Numerical dissipation
Local truncation error
High precision
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5.3
Papers:
5.0K
Citations:
3.2W
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Development of direct integration algorithms for structural dynamics using discrete control theory
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