On rotary inertia of microstuctured beams and variations thereof
Victor A. Eremeyev, Isaac Elishakoff
Abstract
We discuss the classic rotary inertia notion and extend it for microstructured beams introducing new microinertia parameters as an additional dynamic response to microstructure changes. Slender structures made of beam- or platelet-lattice metamaterials may exhibit not only large translations and rotations but also general deformations of inner structure. Here we considered a few examples of beam-like structures and derive their inertia properties which include effective mass density, rotary inertia and microinertia. Extended dynamic characteristics related to enhanced kinematics may be crucial for description of origami-like structures or other beam-lattice metamaterials.
Topics & Concepts
InertiaMetamaterialRotary inertiaKinematicsLattice (music)Beam (structure)Moment of inertiaClassical mechanicsPhysicsMechanicsMaterials scienceOpticsAcousticsNonlocal and gradient elasticity in micro/nano structuresAdvanced Materials and MechanicsComposite Structure Analysis and Optimization