2006
DOI: 10.2495/hpsm06004
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Influence of stiffness constraints on optimal design of trusses using morphological indicators

Abstract: 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… Show more

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Cited by 7 publications
(7 citation statements)
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“…The indicator of displacement allows predicting the maximal static displacement of the structure and can be used to verify if the strength optimised structure does not violate constraints on displacement. When displacements are unacceptable, Vandenbergh et al [26,27] proved that the theory of MI, with sizing based on a fully stressed design, does not necessarily lead to optimal (i.e. lightest) solutions.…”
Section: Benchmarking the Methods By Additional Design Constraintsmentioning
confidence: 99%
“…The indicator of displacement allows predicting the maximal static displacement of the structure and can be used to verify if the strength optimised structure does not violate constraints on displacement. When displacements are unacceptable, Vandenbergh et al [26,27] proved that the theory of MI, with sizing based on a fully stressed design, does not necessarily lead to optimal (i.e. lightest) solutions.…”
Section: Benchmarking the Methods By Additional Design Constraintsmentioning
confidence: 99%
“…Initially, the theory on MI only considered design for strength with the volume of used materials as the objective function. This strategy often resulted in a lightweight structure with a questionable lack of stiffness, which implicates a significant increase of material volume in the final design to meet the stiffness criteria [35,36]. Therefore, additional indicators like the indicators of buckling Ψ and displacement ∆ were introduced, improving the results obtained with the volume indicator.…”
Section: Conceptual Design According To Morphological Indicatorsmentioning
confidence: 99%
“…The indicator of volume W allows the designer to compare the necessary material volume for different structures. It is defined as follows: 'The volume of a structure of identical shape with a unity span of 1 m, loaded with a unit force of 1 N with a material of allowable stress of 1 Pa' [35,37]. In its most simple form, only considering design for strength with all elements fully stresses, thus ignoring buckling, the equation for the indicator of volume is: [34].…”
Section: Conceptual Design According To Morphological Indicatorsmentioning
confidence: 99%
“…As will be shown by Vandenbergh et al [12] in a subsequent paper, the conceptual design of lightweight structures introduces the need for an a priori selection of a design strategy based on the need to satisfy in the first place a SLS or an ULS. This can be achieved through an adequate use of morphological indicators, among which the structural index is also important: it is the only one taking into account the so-called scale effects.…”
Section: Preliminary Conclusionmentioning
confidence: 99%