Energy-e)cient actuation in in*nite lattice structures
نویسندگان
چکیده
Buildup of internal self-stresses in hyperstatic adaptive structures resists actuation. A recent paper by Guest and Hutchinson (2003) shows that periodic in*nite truss structures cannot be both statically and kinematically determinate structures; therefore, a rigid in*nite lattice bar framework must be hyperstatic. This paper shows that it is possible to design adaptive periodic in*nite 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. ? 2003 Elsevier Science Ltd. All rights reserved.
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