Geometric invariance

C. L. Bottasso; M. Borri; L. Trainelli

doi:10.1007/s00466-002-0329-8

Geometric invariance

C. L. Bottasso
, M. Borri
, L. Trainelli

Politecnico di Milano

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	163-169
Number of pages	7
Journal	Computational Mechanics
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/s00466-002-0329-8
State	Published - Aug 2002
Externally published	Yes

Keywords

Beams
Fixed pole equations
Rigid bodies
Rotations
Shells

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10.1007/s00466-002-0329-8

Cite this

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abstract = "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.",

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AU - Borri, M.

AU - Trainelli, L.

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AB - 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.

KW - Beams

KW - Fixed pole equations

KW - Rigid bodies

KW - Rotations

KW - Shells

UR - https://www.scopus.com/pages/publications/0036671042

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DO - 10.1007/s00466-002-0329-8

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SP - 163

EP - 169

JO - Computational Mechanics

JF - Computational Mechanics

IS - 2

ER -

Geometric invariance

Abstract

Keywords

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