Energy-efficient actuation in infinite lattice structures

Aleksandar Donev, Salvatore Torquato

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

Buildup of internal self-stresses in hyperstatic adaptive structures resists actuation. A recent paper by Guest and Hutchinson (2003) shows that periodic infinite truss structures cannot be both statically and kinematically determinate structures; therefore, a rigid infinite lattice bar framework must be hyperstatic. This paper shows that it is possible to design adaptive periodic infinite truss structures that can achieve any state of uniform strain without energy cost by actuating only a subset of the bars in a coordinated fashion. We show that actuation of only 3 bars in two dimensions or 6 bars in three dimensions per unit cell is required. A mathematical apparatus is developed and an example of such a bitriangular lattice structure is given, along with accompanying illustrations. Supporting animations can be found at the authors' website.

Original languageEnglish (US)
Pages (from-to)1459-1475
Number of pages17
JournalJournal of the Mechanics and Physics of Solids
Volume51
Issue number8
DOIs
StatePublished - Aug 1 2003

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • B. Constitutive behaviour
  • B. Sensors and actuators
  • B. Structures
  • C. Energy methods
  • Isostatic

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