A New Semi-explicit Model-based Integration Algorithm with High Accuracy

被引：0
|
作者：
Fu B. [1 ]
Zhang F. [1 ]
Chen J. [1 ]
机构：
[1] School of Civil Engineering, Chang’an University, Xi’an
来源：
Tongji Daxue Xuebao/Journal of Tongji University | 2023年 / 51卷 / 05期
关键词：
accuracy; explicit; Integration algorithm; model-based; period elongation;
D O I：
10.11908/j.issn.0253-374x.21547
中图分类号：
学科分类号：
摘要：
A new model-based integration algorithm with high accuracy is proposed. The proposed algorithm adopts the formulations of velocity and displacement of the semi-explicit Chang algorithm but uses different integration parameters. The integration parameters of the new algorithm are derived by using the zero-pole matching in discrete control theory and second-order Pade approximation. The numerical properties including accuracy， stability， period elongation and amplitude decay are analyzed. Compared with the Newmark family algorithms and two typical model-based integration algorithms， the proposed algorithm is fourth-order accurate and possess extremely small period error. Finally， the high accuracy of the algorithm is demonstrated by three numerical examples. © 2023 Science Press. All rights reserved.
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页码：738 / 746
页数：8
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