Frame-indifferent beam finite elements based upon the geometrically exact beam theory

被引：147

作者：

Betsch, P ^{[1
]}

Steinmann, P ^{[1
]}

机构：

[1] Univ Kaiserslautern, Dept Mech Engn, D-67653 Kaiserslautern, Germany

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2002年 / 54卷 / 12期

关键词：

non-linear beam elements; finite rotations; constraints;

D O I：

10.1002/nme.487

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper describes a new beam finite element formulation based upon the geometrically exact beam theory. In contrast to many previously proposed beam finite clement formulations the present discretization approach retains the frame-indifference (or objectivity) of the underlying beam theory. The space interpolation of rotational degrees-of-freedom is circumvented by the introduction of a reparameterization of the weak form corresponding to the equations of motion of the geometrically exact beam theory. Copyright (C) 2002 John Wiley Sons, Ltd.

引用

页码：1775 / 1788

页数：14

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