Geometric invariance

被引：0

作者：

Bottasso C.L. ^{[1
]}

Borri M. ^{[1
]}

Trainelli L. ^{[1
]}

机构：

[1] Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, 20158 Milano

来源：

Computational Mechanics | 2002年 / 29卷 / 02期

关键词：

Beams; Fixed pole equations; Rigid bodies; Rotations; Shells;

D O I：

10.1007/s00466-002-0329-8

中图分类号：

学科分类号：

摘要：

We discuss changes of variables deriving from changes in the placement of reference entities in the modeling of rigid bodies, beams and shells. We show that standard numerical procedures in general fail to be invariant with respect to these particular changes of variables, and we characterize the nature of the error. Finally, we show how the fixed pole form of the equations of equilibrium automatically guarantees invariant numerical processes, being based on global kinematic and co-kinematic quantities.

引用

页码：163 / 169

页数：6

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