On the design of energy preserving and decaying schemes for flexible, nonlinear multi-body systems

被引:71
作者
Bauchau, OA
Bottasso, CL [1 ]
机构
[1] Politecn Milan, Dipartimento Ingn Aerosp, I-20133 Milan, Italy
[2] Georgia Inst Technol, Sch Aerosp Engn, Atlanta, GA 30332 USA
关键词
D O I
10.1016/S0045-7825(98)00176-5
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Energy preserving schemes achieve unconditional stability for nonlinear systems by establishing discrete energy preservation statements. Several schemes have been presented by various authors within drastically different frameworks: finite difference schemes based on a mid-point approximation, Galerkin and time discontinuous Galerkin approximations of the equations of motion written in the symmetric hyperbolic form, finite elements in time, and 2-stage FSAL Runge-Kutta methods. Furthermore, different types of parameterization of finite rotations were used in the various formulations. This paper presents a unified, finite difference framework which readily allows comparing the various schemes and their respective properties. Numerical examples are presented and show that the predictions of two of these schemes are in very close agreement with each other. (C) 1999 Elsevier Science S.A. All rights reserved.
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收藏
页码:61 / 79
页数:19
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