Two approaches for truss topology optimization: a comparison for practical use

Oberndorfer, J.; Achtziger, Wolfgang; Hörnlein, H. R. E. M.

doi:10.1007/bf01197027

Cited by 23 publications

(2 citation statements)

References 12 publications

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“…Conventional ground structure approach There are two popular approaches to the design of structures for optimal topology. 16,17 The former is to minimize the volume of the structure subject to stress constraints. The latter is to minimize the compliance of the structure imposing a constraint on the maximum volume of the structure.…”

Section: Formulation Of the Topology Optimization Problemmentioning

confidence: 99%

Topology optimization of planar truss structures with continuous element intersection and node stability constraints

Leng

Duan

2011

Proceedings of the Institution of Mechanical Engineers, Part C:

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This article presents a general nonlinear formulation for the topology optimization of planar truss structures. The novelty of this article is that element intersection is described in terms of a continuous intersection factor. The Heaviside function is used to map the element cross-sectional area to intersection properties. Therefore, the intersection feature is described by a continuous and differentiable function. The topology optimization model is hence set as a ground-structure method by simultaneously including constraints on element intersection and cinematic stability of nodes. The latter is also described by a continuous function. Three test cases are presented to demonstrate the validity of the proposed approach. Unlike mixed integer programming, the number of design cycles does not change much as the number of design variables increases.

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Section: Formulation Of the Topology Optimization Problemmentioning

confidence: 99%

Topology optimization of planar truss structures with continuous element intersection and node stability constraints

Leng

Duan

2011

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Specifically, Aage et al [12] obtained a giga-voxel computational morphogenesis design with unprecedented structural detail for the fullscale wing, which has 1.1 billion elements. Besides, Oberndorfer et al [13] optimized practical engineering stiffened design by the ground structure approach of trusses. Ding et al [14][15][16] proposed a growing and 3 branching tree model to perform the stiffener layout design, which is inspired by the branching system in nature.…”

Section: Introductionmentioning

confidence: 99%

Generative design of stiffened plates based on homogenization method

Wang

Aage

et al. 2021

Struct Multidisc Optim

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Topology Optimization of Discrete Structures

Achtziger

1997

Topology Optimization in Structural Mechanics

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Two approaches for truss topology optimization: a comparison for practical use

Cited by 23 publications

References 12 publications

Topology optimization of planar truss structures with continuous element intersection and node stability constraints

Topology optimization of planar truss structures with continuous element intersection and node stability constraints

Generative design of stiffened plates based on homogenization method

Topology Optimization of Discrete Structures

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