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

Research output: Contribution to conference › Paper › peer-review

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.

Original language	English
Pages	113-117
Number of pages	5
Publication status	Published - 1 Dec 1994
Externally published	Yes
Event	Proceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4) - Athens, Greece Duration: 30 Aug 1994 → 1 Sept 1994

Conference

Conference	Proceedings of the 2nd International Conference on Computational Structures Technology. Part 1 (of 4)
City	Athens, Greece
Period	30/08/94 → 1/09/94

Cite this

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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",

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day = "1",

language = "English",

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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

Abstract

Conference

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