Stability and accuracy of DQ-based step-by-step integration methods for structural dynamics

被引：9
|
作者：
Tomasiello, S. [1 ]
机构：
[1] Univ Basilicata, Fac Engn, DiSGG, I-85100 Potenza, Italy
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 05期
关键词：
Direct integration methods; Discretized systems; Differential Quadrature; Numerical stability; DIFFERENTIAL QUADRATURE;
D O I：
10.1016/j.apm.2012.07.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a new DQ-based compact step-by-step integration method is proposed. Analytical proof of stability is presented. The method is unconditionally stable and not affected by algorithmic damping. Besides, sixth-order convergence can be achieved. A classical non-linear model is studied as example application. Compared to other similar procedures, this new method provides accurate results, even if the step size is relatively large. (C) 2012 Elsevier Inc. All rights reserved.
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页码：3426 / 3435
页数：10
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