Wim Ponsaert, Jan Van Steirteghem, Willy De Wilde, Philippe Samyn

Research output: Chapter in Book/Report/Conference proceedingConference paper


Morphological Indicators are dimensionless numbers that represent a property of a structure (e.g.
volume, stiffness) and depend only on a small number of variables. These indicators include
optimization at the stage of conceptual design. The most important indicators are the Indicator of
Volume, related to the strength of the structure, and the Indicator of Displacement, related to the
stiffness of the structure. These indicators, in their most simple appearance, are function only of the
geometrical slenderness of the structure, under the assumption that the structure is not subjected to
second order effects and that shear effects are not predominant.
The Indicator of Volume allows choosing the structural typology with a minimum of volume of
material. When using the Indicator of Volume at the stage of conceptual design, important areas of
slenderness appear to bring about problems of resonance. This is particularly the case for structures
- have predominant co-vibrating loads
- have large spans
- are using a material with a small stiffness/strength ratio
Two methods to avoid resonance and their influence on the Indicator of Volume exist and are
investigated for statically determined beams.
Resonance can be reduced by placing a tuned mass damper in the anti-node of the mode. This tuned
mass damper, if well adjusted, vibrates in anti-phase with the structure and subdues thus resonance
peak. Optimally designed tuned mass dampers can be characterized by one single parameter which is
the ratio of its mass to the vibrating mass of the structure. However, for practical reasons, it is limited.
Resonance can also be avoided by a reduction of the stress level of the structure. This comes at the cost
of volume of material.
Both methods penalize the Indicator of Volume. These penalizations allow choosing a structural
typology that is the most economic in terms of used volume of material, considering dynamic effects
and damping solutions.
Original languageEnglish
Title of host publicationIASS Symposium 2006
EditorsKawaguchi Mamoru
PublisherInternational Association Shells and Space Structures
Publication statusPublished - 2006
EventFinds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet - Stockholm, Sweden
Duration: 21 Sep 200925 Sep 2009

Publication series

NameIASS Symposium 2006


ConferenceFinds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet

Bibliographical note

Kawaguchi Mamoru


  • Structural vibrations
  • Tuned mass damping
  • Beams


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