Optimisation des arcs funiculaires paraboliques et en chaînette - Aide à la conception sur base d’indicateurs morphologiques

Latteur, Pierre; Samyn, Philippe; Wilde, Patrick De

doi:10.3166/rfgc.5.89-116

Cited by 7 publications

(28 citation statements)

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“…This leads to a relatively accurate prediction of the volume of the lightest structure considering the strength requirement and the constraints on static displacements. The 'new' optimum curves depend on these stiffness constraints and therefore on L as those set up in Samyn [1] and Latteur [2]. Nevertheless, the number of parameters remains small being the main advantage of the MI.…”

Section: Strategymentioning

confidence: 99%

“…It is the image of the buckling tendency of the compression elements in a structure with span L, composed of bars with a form factor 2 …”

Section: Morphological Indicatorsmentioning

confidence: 99%

“…The analytical expressions of both W and ∆ have been established by Samyn [1] and Latteur [2] for trusses, beams, arches, cables, cable stayed structures, masts and frames subjected to a limited number of (simple) load cases and supports.…”

Section: Morphological Indicatorsmentioning

confidence: 99%

“…At conceptual design stage, we can accurately transform loads in ULS to SLS by dividing the total loads in ULS by 1.4 to obtain the total loads in SLS. Since the static displacements are linearly proportional to the loads, we must divide the displacement indicator calculated in Samyn [1] and Latteur [2] by 1.4.…”

Section: High Performance Structures and Materials III 33mentioning

confidence: 99%

“…The indicator of buckling L qEF µσ Ψ = is developed by Latteur [2] to take into account buckling in compression elements. It is the image of the buckling tendency of the compression elements in a structure with span L, composed of bars with a form factor 2 …”

Section: Morphological Indicatorsmentioning

confidence: 99%

See 4 more Smart Citations

Influence of stiffness constraints on optimal design of trusses using morphological indicators

Vandenbergh

Ponsaert

Steirteghem

et al. 2006

WIT Transactions on the Built Environment, Vol 85

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Within the framework of sustainable development we strive for structures with a minimum volume of material. When we only consider criteria on resistance and buckling, Samyn and Latteur prove that even at the stage of conceptual design a clear hierarchy among the different truss typologies can be established. Up to now, stiffness constraints -such as the upper limit on static displacements -were not considered. However, an optimum obtained by minimising the volume, only considering the strength criterion, often results in solutions which violate the stiffness constraint(s). To avoid large displacements a stress level reduction can be imposed. However, this comes at the cost of a significant volume increase. With an optimisation process that involves the stiffness constraints at the stage of conceptual design, an optimum can be obtained without the necessity to alter the structure drastically afterwards, which partly annihilates the main objective of minimal use of material. This approach compares the different truss types on a new priority scale, generating new optima. This implicates a non-negligible change in the truss choice at conceptual design stage. The solutions are logically depended on the displacement criterions. This approach forms a first step to a new design philosophy that considers all the stiffness constraints (static displacements, resonance, local and global buckling) at conceptual design stage and is called design for stiffness.

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Section: Strategymentioning

confidence: 99%

“…It is the image of the buckling tendency of the compression elements in a structure with span L, composed of bars with a form factor 2 …”

Section: Morphological Indicatorsmentioning

confidence: 99%

Section: Morphological Indicatorsmentioning

confidence: 99%

Section: High Performance Structures and Materials III 33mentioning

confidence: 99%

Section: Morphological Indicatorsmentioning

confidence: 99%

See 3 more Smart Citations

Influence of stiffness constraints on optimal design of trusses using morphological indicators

Vandenbergh

Ponsaert

Steirteghem

et al. 2006

WIT Transactions on the Built Environment, Vol 85

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A design methodology for lattice and tensegrity structures based on a stiffness and volume optimization algorithm using morphological indicators

Latteur

Feron

Denoël

2017

International Journal of Space Structures

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This article presents a design methodology based on a stiffness and volume optimization algorithm for three-dimensional nonlinear hyperstatic and pre-stressed structures composed of elements only subjected to axial forces, with a special emphasis on tensegrity structures. The algorithm is based on dimensionless numbers called morphological indicators that allow finding, within a given family of structures, the geometry related to a maximum stiffness or a minimum volume of materials or the best ratio between stiffness and volume. The algorithm takes into account the buckling of the struts and different materials for cables and struts. This article first demonstrates the optimization algorithm and then gives numerical confirmations and examples.

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Design rules for timber log reciprocal floors, based on mass optimization under stiffness constraint

Latteur

Geno

Vandamme³

2021

International Journal of Space Structures

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Building with raw timber allows to reduce the price of construction and to make it more competitive with respect to concrete or steel construction. For a few years now, the combination of parametric design and robotic tools make possible the fast and precise milling of timber logs for their accurate connection. However, the spans are quickly limited by the logs length. In this context, reciprocal structures are relevant, since they allow to build large spans structures with short beams. Finally, the architectural interest of reciprocal structures is not to prove. However, the choice of the most efficient reciprocal frame, as well as its structural relevance in terms of mass and stiffness is, most of the time, ruled by subjective considerations. This paper focuses on rectangular floors composed of reciprocal moduli and has three objectives: (1) to develop a general mass and stiffness optimization method for reciprocal floors, which is not only necessary to limit the price, but also to reduce their thickness, (2) to define design rules for reciprocal floors, in particular for the choice of the best engagement ratio, and (3) to compare the structural efficiency of reciprocal floors with the one of “traditional” floors with parallel logs. Coming from a dimensionless transformation of the equilibrium equations, the results of this article will thus give the designers keys to better design reciprocal structures, evaluate their structural performances and relevance, and justify their choices.

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Optimisation des arcs funiculaires paraboliques et en chaînette - Aide à la conception sur base d’indicateurs morphologiques

Cited by 7 publications

References 0 publications

Influence of stiffness constraints on optimal design of trusses using morphological indicators

Influence of stiffness constraints on optimal design of trusses using morphological indicators

A design methodology for lattice and tensegrity structures based on a stiffness and volume optimization algorithm using morphological indicators

Design rules for timber log reciprocal floors, based on mass optimization under stiffness constraint

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