Optimization of Structures Using the Finite Element Method

L.F. Jansen

doi:10.1007/978-94-009-1413-1

Optimization of Structures Using the Finite Element Method

L.F. Jansen

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

Abstract

The optimization code presented in this paper takes fullest advantage of the finite element modelling of structures. The link between the finite element model and the optimization problem is maintained by so-called design elements, which give this code a wide applicability and flexibility. Furthermore, the cost function and the constraints are regarded as a part of the finite element definition, rather than to be part of the optimization code. Therefore different cost functions and constraints can be used on structures, in order to meet the specific design requirements of the problem at hand. This is achieved by means of user-supplied routines on finite element level only. The gradient of the cost function and constraints are determined analytically, avoiding numerical differentiation. As a result a general purpose-structural optimization program, called Optisys, was obtained. As an example, simulation of bone remodelling will be discussed in this paper. This example can be regarded as a combined shape and material-property optimization problem, since bone remodelling is the change of shape and property of natural bone due to a change of external loading.

Original language	English
Title of host publication	Structural Optimization
Subtitle of host publication	Proceedings of the IUTAM Symposium on Structural Optimization, Melbourne, Australia, 9–13 February 1988
Editors	G.I.N. Rozvany, B.L. Karihaloo
Place of Publication	Dordrecht
Publisher	Kluwer Academic Publishers
Pages	135–14
ISBN (Electronic)	978-94-009-1413-1
ISBN (Print)	978-90-247-3771-0, 978-94-010-7132-1
DOIs	https://doi.org/10.1007/978-94-009-1413-1
Publication status	Published - 1988
Event	IUTAM Symposium on Structural Optimization 1988 - Melbourne, Australia Duration: 9 Feb 1988 → 13 Feb 1988

Conference

Conference	IUTAM Symposium on Structural Optimization 1988
Country/Territory	Australia
City	Melbourne
Period	9/02/88 → 13/02/88

Keywords

Cost function
Finite element model
Shape optimization
Apparent density
Load distribution

Access to Document

10.1007/978-94-009-1413-1

Cite this

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title = "Optimization of Structures Using the Finite Element Method",

abstract = "The optimization code presented in this paper takes fullest advantage of the finite element modelling of structures. The link between the finite element model and the optimization problem is maintained by so-called design elements, which give this code a wide applicability and flexibility. Furthermore, the cost function and the constraints are regarded as a part of the finite element definition, rather than to be part of the optimization code. Therefore different cost functions and constraints can be used on structures, in order to meet the specific design requirements of the problem at hand. This is achieved by means of user-supplied routines on finite element level only. The gradient of the cost function and constraints are determined analytically, avoiding numerical differentiation. As a result a general purpose-structural optimization program, called Optisys, was obtained. As an example, simulation of bone remodelling will be discussed in this paper. This example can be regarded as a combined shape and material-property optimization problem, since bone remodelling is the change of shape and property of natural bone due to a change of external loading.",

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address = "Netherlands",

note = "IUTAM Symposium on Structural Optimization 1988 ; Conference date: 09-02-1988 Through 13-02-1988",

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Jansen, LF 1988, Optimization of Structures Using the Finite Element Method. in GIN Rozvany & BL Karihaloo (eds), Structural Optimization: Proceedings of the IUTAM Symposium on Structural Optimization, Melbourne, Australia, 9–13 February 1988. Kluwer Academic Publishers, Dordrecht, pp. 135–14, IUTAM Symposium on Structural Optimization 1988, Melbourne, Victoria, Australia, 9/02/88. https://doi.org/10.1007/978-94-009-1413-1

Optimization of Structures Using the Finite Element Method. / Jansen, L.F.
Structural Optimization: Proceedings of the IUTAM Symposium on Structural Optimization, Melbourne, Australia, 9–13 February 1988. ed. / G.I.N. Rozvany; B.L. Karihaloo. Dordrecht: Kluwer Academic Publishers, 1988. p. 135–14.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

TY - CHAP

T1 - Optimization of Structures Using the Finite Element Method

AU - Jansen, L.F.

PY - 1988

Y1 - 1988

N2 - The optimization code presented in this paper takes fullest advantage of the finite element modelling of structures. The link between the finite element model and the optimization problem is maintained by so-called design elements, which give this code a wide applicability and flexibility. Furthermore, the cost function and the constraints are regarded as a part of the finite element definition, rather than to be part of the optimization code. Therefore different cost functions and constraints can be used on structures, in order to meet the specific design requirements of the problem at hand. This is achieved by means of user-supplied routines on finite element level only. The gradient of the cost function and constraints are determined analytically, avoiding numerical differentiation. As a result a general purpose-structural optimization program, called Optisys, was obtained. As an example, simulation of bone remodelling will be discussed in this paper. This example can be regarded as a combined shape and material-property optimization problem, since bone remodelling is the change of shape and property of natural bone due to a change of external loading.

AB - The optimization code presented in this paper takes fullest advantage of the finite element modelling of structures. The link between the finite element model and the optimization problem is maintained by so-called design elements, which give this code a wide applicability and flexibility. Furthermore, the cost function and the constraints are regarded as a part of the finite element definition, rather than to be part of the optimization code. Therefore different cost functions and constraints can be used on structures, in order to meet the specific design requirements of the problem at hand. This is achieved by means of user-supplied routines on finite element level only. The gradient of the cost function and constraints are determined analytically, avoiding numerical differentiation. As a result a general purpose-structural optimization program, called Optisys, was obtained. As an example, simulation of bone remodelling will be discussed in this paper. This example can be regarded as a combined shape and material-property optimization problem, since bone remodelling is the change of shape and property of natural bone due to a change of external loading.

KW - Cost function

KW - Finite element model

KW - Shape optimization

KW - Apparent density

KW - Load distribution

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EP - 114

BT - Structural Optimization

A2 - Rozvany, G.I.N.

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CY - Dordrecht

T2 - IUTAM Symposium on Structural Optimization 1988

Y2 - 9 February 1988 through 13 February 1988

ER -

Optimization of Structures Using the Finite Element Method

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Conference

Keywords

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