Shape and cross-section optimisation of a truss structure

Gil, Lluı́s; Andreu, Antoni Sudriá

doi:10.1016/s0045-7949(00)00182-6

Cited by 82 publications

(40 citation statements)

References 4 publications

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“…Bendsøe et al 1994;Bendsøe and Sigmund 2003, who pose the problem as one of non-smooth optimization). Gil and Andreu (2001) combined size and geometry optimization, obtaining solutions to small-scale problems by using optimality criteria and conjugate gradient methods in succession. Martínez et al (2007) proposed a 'growth' method, in which geometry optimization was carried out in conjunction with a heuristic 'node adding' algorithm, allowing an increasingly complex truss structure to evolve from a relatively simple initial layout.…”

Section: Introductionmentioning

confidence: 99%

Rationalization of trusses generated via layout optimization

Gilbert

2015

Struct Multidisc Optim

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Numerical layout optimization provides a computationally efficient and generally applicable means of identifying the optimal arrangement of bars in a truss. When the plastic layout optimization formulation is used, a wide variety of problem types can be solved using linear programming. However, the solutions obtained are frequently quite complex, particularly when fine numerical discretizations are employed. To address this, the efficacy of two rationalization techniques are explored in this paper: (i) introduction of 'joint lengths', and (ii) application of geometry optimization. In the former case this involves the use of a modified layout optimization formulation, which remains linear, whilst in the latter case a non-linear optimization post-processing step, involving adjusting the locations of nodes in the layout optimized solution, is undertaken. The two rationalization techniques are applied to example problems involving both point and distributed loads, self-weight and multiple load cases. It is demonstrated that the introduction of joint lengths reduces structural complexity at negligible computational cost, though generally leads to increased volumes. Conversely, the use of geometry optimization carries a computational cost but is effective in reducing both structural complexity and the computed volume.

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Section: Introductionmentioning

confidence: 99%

Rationalization of trusses generated via layout optimization

Gilbert

2015

Struct Multidisc Optim

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“…Conventional full-stress method is generally suitable for cross-sectional optimization (also known as "size optimization") (Gil and Andren [14], Apostol and Santos [15], and Vanderplaats [16]) of space member structure consisting of conventional circular steel tube aiming for the minimum steel consumption. But the latticed built-up members are not continuous member and have no determinate cross section as well as slenderness ratio in advance, so the conventional full-stress method can't be directly adopted to do optimization analysis.…”

Section: Cross Section Optimization Of the Latticed Built-up Membersmentioning

confidence: 99%

Formation and Calculation Analyses of the Cylindrical Latticed-Built-Up-Member-System Reticulated Mega-Structure

He¹,

Zhou²

2010

Volume 6 Number 3

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An innovative super-long-span spatial structure, cylindrical latticed-built-up-member-system reticulated mega-structure with double-layer grid substructures, is present and studied in this paper. The structural configuration including formation of members of the main structure and layout of the substructures is first analyzed. And the calculation methods are studied, including the equivalent cross-sectional areas of the latticed built-up members, internal forces of the sub-members, and the optimization of the whole structure. Then the optimization analyses of the cross sections of members are carried out aiming for the minimum steel consumption of the structure. In addition, comparison on steel consumption of the reticulated mega-structure with that of the conventional reticulated structure is carried out in detail, and the reasonable span range of the cylindrical latticed-built-up-member-system reticulated mega-structure is last obtained.

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“…Optimization of truss structures forms one of the main focus of research in structural engineering both in terms of topology, shape and cross-section optimization [3][4][5][6][7][8][9][10][11][12][13][14][15] . The majority of the works deal with proposal of methods of optimization 5,[8][9][10][12][13][14][15] .…”

Section: Introductionmentioning

confidence: 99%

“…The majority of the works deal with proposal of methods of optimization 5,[8][9][10][12][13][14][15] . The more complicated problems of multi-objectives and multiple constraints type of optimization problem are studied in 3,7) .…”

Section: Introductionmentioning

confidence: 99%

“…The more complicated problems of multi-objectives and multiple constraints type of optimization problem are studied in 3,7) . Procedures of analysis for handling discrete design variables or design variables with different nature have also been studied 10,11) . Other than that, verification of applicability of available method of optimization to different engineering problem has also been reported 4) .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effects of Vector Norm Types in Maximum Stiffness Problem of Simple Truss Structures

Choong

Loh²,

Kim

et al. 2009

Journal of Asian Architecture and Building Engineering

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The objective of maximum stiffness problem is to minimize the displacement. For this purpose, an optimization analysis is needed in order to obtain the structural shape with maximum stiffness. Displacement for structures with multiple degrees of freedom which has been modeled using finite element method is expressed in the form of a vector. In order to measure the size of vector quantity, a vector norm is used. The use of different types of vector norms might yield different results in maximum stiffness problem with shape as the design variable. This paper studies the effect of types of vector norms used in the outcome of analysis in maximum stiffness problem. Three types of vector norms, namely Euclidean, absolute value and maximum value norms, are studied. The results show that Euclidean norm is the most effective norm to be used.

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Shape and cross-section optimisation of a truss structure

Cited by 82 publications

References 4 publications

Rationalization of trusses generated via layout optimization

Rationalization of trusses generated via layout optimization

Formation and Calculation Analyses of the Cylindrical Latticed-Built-Up-Member-System Reticulated Mega-Structure

Effects of Vector Norm Types in Maximum Stiffness Problem of Simple Truss Structures

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