NUMERICAL INTEGRATION SCHEME USING SINGULAR PERTURBATION METHOD

被引：0

作者：

Gil, Gibin ^{[1
]}

Sanfelice, Ricardo G. ^{[1
]}

Nikravesh, Parviz E. ^{[1
]}

机构：

[1] Univ Arizona, Dept Aerosp & Mech Engn, Tucson, AZ 85721 USA

来源：

PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2013, VOL 7A | 2014年

关键词：

INITIAL-VALUE PROBLEMS; TIME SCALES; SYSTEMS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Some multi degree-of-freedom dynamical systems exhibit a response that contain fast and slow variables. An example of such systems is a multibody system with rigid and deformable bodies. Standard numerical integration of the resultant equations of motion must adjust the time step according to the frequency of the fastest variable. As a result, the computation time is sacrificed. The singular perturbation method is an analysis technique to deal with the interaction of slow and fast variables. In this study, a numerical integration scheme using the singular perturbation method is discussed, its absolute stability condition is derived, and its order of accuracy is investigated.

引用

页数：11

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