On the creation of infinitesimal mechanisms through cellular morphogenesis

Omar Aloui, David Orden, Landolf Rhode-Barbarigos

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

Abstract

In a structure, an infinitesimal mechanism represents a set of nodal displacements that do not engender extensions in its members. Tensegrity structures are self-stressed frameworks where the connectivity of the members and the configuration of nodes control the number of self-stress states and infinitesimal mechanisms in the system. In literature, kinematic analysis of tensegrity structures reveals infinitesimal mechanisms as an advantageous motion control strategy minimizing the control energy. However, infinitesimal mechanism creation is typically not controlled during the form finding and design of tensegrity structures. This paper is a continuation to the study of how the topology and geometry of tensegrity systems affects the creation of self-stress states through the cellular morphogenesis principles. In this paper, it is shown that infinitesimal mechanisms are created when fusion with the removal of two edges from the same two cells is used to compose the structure. A systematic method for the description of the infinitesimal mechanisms' modes at each step of the generation process, similar to the description of self-stress states in the fusion and adhesion processes, is proposed. The proposed method enables the design of tensegrity structures with predefined motion abilities that can be of great importance to deployable and reconfigurable tensegrity applications.

Original languageEnglish (US)
Title of host publicationIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE
EditorsCarlos Lazaro, Kai-Uwe Bletzinger, Eugenio Onate
PublisherInternational Center for Numerical Methods in Engineering
Pages2836-2845
Number of pages10
ISBN (Electronic)9788412110104
StatePublished - 2019
Externally publishedYes
EventIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE - Barcelona, Spain
Duration: Oct 7 2019Oct 10 2019

Publication series

NameIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE

Conference

ConferenceIASS Symposium 2019 - 60th Anniversary Symposium of the International Association for Shell and Spatial Structures; Structural Membranes 2019 - 9th International Conference on Textile Composites and Inflatable Structures, FORM and FORCE
Country/TerritorySpain
CityBarcelona
Period10/7/1910/10/19

Keywords

  • Cellular morphogenesis
  • Control
  • Design
  • Finite mechanism
  • Form finding
  • Infinitesimal mechanism
  • Self-stress
  • Self-stressed frameworks
  • Tensegrity

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Civil and Structural Engineering
  • Mechanical Engineering
  • Building and Construction

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