Optimization of nonlinear structures and meshes

P. Le Tallec; M. Halard

Optimization of nonlinear structures and meshes

P. Le Tallec
, M. Halard

Université Paris Dauphine

Résultats de recherche: Contribution à une conférence › Papier › Revue par des pairs

Résumé

Second order methods are proposed herein for the optimal design of nonlinear structures under given constraints. We show that the system of the first order Euler-Lagrange condition can be solved efficiently by a Newton type method. The corresponding algorithm and numerical results are given in the second part for cases without inequality constraints. It can be easily extended to constrained problems using interior point algorithms. When it is applied to mechanical problems, the state variables will characterize the deformed configuration as well as an implicit adaptive discretization of the geometry.

langue originale	Anglais
Pages	113-117
Nombre de pages	5
état	Publié - 1 déc. 1994
Modification externe	Oui
Evénement	Proceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4) - Athens, Greece Durée: 30 août 1994 → 1 sept. 1994

Une conférence

Une conférence	Proceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4)
La ville	Athens, Greece
période	30/08/94 → 1/09/94

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@conference{195effda7e244e7fa55e54ae06a5fa33,

title = "Optimization of nonlinear structures and meshes",

abstract = "Second order methods are proposed herein for the optimal design of nonlinear structures under given constraints. We show that the system of the first order Euler-Lagrange condition can be solved efficiently by a Newton type method. The corresponding algorithm and numerical results are given in the second part for cases without inequality constraints. It can be easily extended to constrained problems using interior point algorithms. When it is applied to mechanical problems, the state variables will characterize the deformed configuration as well as an implicit adaptive discretization of the geometry.",

author = "\{Le Tallec\}, P. and M. Halard",

year = "1994",

month = dec,

day = "1",

language = "English",

pages = "113--117",

note = "Proceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4) ; Conference date: 30-08-1994 Through 01-09-1994",

}

TY - CONF

T1 - Optimization of nonlinear structures and meshes

AU - Le Tallec, P.

AU - Halard, M.

PY - 1994/12/1

Y1 - 1994/12/1

N2 - Second order methods are proposed herein for the optimal design of nonlinear structures under given constraints. We show that the system of the first order Euler-Lagrange condition can be solved efficiently by a Newton type method. The corresponding algorithm and numerical results are given in the second part for cases without inequality constraints. It can be easily extended to constrained problems using interior point algorithms. When it is applied to mechanical problems, the state variables will characterize the deformed configuration as well as an implicit adaptive discretization of the geometry.

AB - Second order methods are proposed herein for the optimal design of nonlinear structures under given constraints. We show that the system of the first order Euler-Lagrange condition can be solved efficiently by a Newton type method. The corresponding algorithm and numerical results are given in the second part for cases without inequality constraints. It can be easily extended to constrained problems using interior point algorithms. When it is applied to mechanical problems, the state variables will characterize the deformed configuration as well as an implicit adaptive discretization of the geometry.

UR - https://www.scopus.com/pages/publications/0028739445

M3 - Paper

AN - SCOPUS:0028739445

SP - 113

EP - 117

T2 - Proceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4)

Y2 - 30 August 1994 through 1 September 1994

ER -

Optimization of nonlinear structures and meshes

Résumé

Une conférence

Autres fichiers et liens

Empreinte digitale

Contient cette citation