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Truss Topology Optimization by a Displacements Based Optimality Criterion Approach

Bendsøe, Martin P. / Ben-Tal, Aharon

Abstract In this paper we present a displacement based method for maximum stiffness truss topology design. The ground structure approach is used, and the problem is formulated in terms of displacements and bar areas. This large, non—convex optimization problem can be solved by identifying an equivalent, unconstrained and convex problem in the displacement which can be solved by a non—smooth, steepest algorithm. In this method we circumvent the explicit solving of the equilibrium equations and the assembly of the global stiffness matrix. A large number of examples have been studied, showing the attractive features of topology design as well as exposing interesting features of optimal topologies.

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Truss Topology Optimization by a Displacements Based Optimality Criterion Approach

Bendsøe, Martin P. / Ben-Tal, Aharon

Abstract In this paper we present a displacement based method for maximum stiffness truss topology design. The ground structure approach is used, and the problem is formulated in terms of displacements and bar areas. This large, non—convex optimization problem can be solved by identifying an equivalent, unconstrained and convex problem in the displacement which can be solved by a non—smooth, steepest algorithm. In this method we circumvent the explicit solving of the equilibrium equations and the assembly of the global stiffness matrix. A large number of examples have been studied, showing the attractive features of topology design as well as exposing interesting features of optimal topologies.

Truss Topology Optimization by a Displacements Based Optimality Criterion Approach

Bendsøe, Martin P. / Ben-Tal, Aharon

Abstract In this paper we present a displacement based method for maximum stiffness truss topology design. The ground structure approach is used, and the problem is formulated in terms of displacements and bar areas. This large, non—convex optimization problem can be solved by identifying an equivalent, unconstrained and convex problem in the displacement which can be solved by a non—smooth, steepest algorithm. In this method we circumvent the explicit solving of the equilibrium equations and the assembly of the global stiffness matrix. A large number of examples have been studied, showing the attractive features of topology design as well as exposing interesting features of optimal topologies.

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Title:

Truss Topology Optimization by a Displacements Based Optimality Criterion Approach

Contributors:

Bendsøe, Martin P. (author) / Ben-Tal, Aharon (author)

Published in:

Optimization of Large Structural Systems ; 139-155

NATO ASI Series ; 231

Publication date:

1993-01-01

Size:

17 pages

ISBN:

978-94-010-9577-8 , 978-94-010-9579-2

ISSN:

DOI:

https://doi.org/10.1007/978-94-010-9577-8_6

Type of media:

Article/Chapter (Book)

Type of material:

Electronic Resource

Language:

English

Keywords:

Design Variable , Nodal Point , Homogenization Method , Topology Design , Minimum Compliance Problem Engineering , Civil Engineering , Appl.Mathematics/Computational Methods of Engineering , Automotive Engineering , Mechanics

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