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

共 50 条

[41] COMMENTS ON INVARIANCE OF GEOMETRIC SPREADING LOSS WITH CHANGES IN RAY PARAMETRIZATION
EBY, ES
EINSTEIN, LT
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1972, 52 (01): : 455 - &
[42] Gaussian Curvature-based Geometric Invariance for Ear Recognition
Taertulakarn, S.
Tosranon, P.
Pintavirooj, C.
2014 7TH BIOMEDICAL ENGINEERING INTERNATIONAL CONFERENCE (BMEICON), 2014,
[43] Formula Simplification for Real Quantifier Elimination Using Geometric Invariance
Iwane, Hidenao
Anai, Hirokazu
PROCEEDINGS OF THE 2017 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC'17), 2017, : 213 - 220
[44] Document Image Registration Using Geometric Invariance and Hausdorff Distance
Sun, Chao
Cai, Ronghai
PROCEEDINGS OF THE FIRST INTERNATIONAL WORKSHOP ON EDUCATION TECHNOLOGY AND COMPUTER SCIENCE, VOL II, 2009, : 725 - 728
[45] ADIABATIC INVARIANCE AND CHARGED-PARTICLE CONFINEMENT IN A GEOMETRIC MIRROR
SAMEC, TK
LEE, YC
FRIED, BD
PHYSICAL REVIEW LETTERS, 1975, 35 (26) : 1763 - 1766
[46] On a Minkowski geometric flow in the plane: Evolution of curves with lack of scale invariance
Dipierro, Serena
Novaga, Matteo
Valdinoci, Enrico
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2019, 99 (01): : 31 - 51
[47] Parabolic movement primitives and cortical states: merging optimality with geometric invariance
Felix Polyakov
Eran Stark
Rotem Drori
Moshe Abeles
Tamar Flash
Biological Cybernetics, 2009, 100 : 159 - 184
[48] Multi-task learning based on geometric invariance discriminative features
Liu, Yitong
Huang, Lei
Li, Jie
Zhang, Wenfeng
Sheng, Yanxiu
Wei, Zhiqiang
APPLIED INTELLIGENCE, 2023, 53 (03) : 3505 - 3518
[49] Using invariance under the similarity group to solve geometric constraint systems
Schreck, Pascal
Schramm, Etienne
COMPUTER-AIDED DESIGN, 2006, 38 (05) : 475 - 484
[50] GEOMETRIC REGULARIZATION AND GAUGE-INVARIANCE IN CHERN-SIMONS THEORIES
ASOREY, M
FALCETO, F
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (02): : 235 - 256

← 1 2 3 4 5 →