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In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results

Emilio Turco, Emilio Barchiesi, Francesco dell’Isola

2021Mathematics and Mechanics of Solids28 citationsDOI

Abstract

In this contribution, a previously introduced discrete model for studying the statics of duoskelion beam-like structures is extended to dynamics. The results of numerical simulations performed using such an extended model are reported to discuss the in-plane dynamic buckling of duoskelion structures under different loading and kinematic boundary conditions. The core instrument of the analysis is a discrete beam element, which, in addition to flexure, also accounts for extension and shearing deformations. Working in the setting of dynamics, inertial contributions are taken into account as well. A stepwise time integration scheme is employed to reconstruct the complete trajectory of the system, namely before and after buckling. It is concluded that the duoskelion structure exhibits exotic features compared with classical beam-like structures modeled at macro-scale by Euler–Bernoulli’s model.

Topics & Concepts

BucklingStaticsKinematicsBeam (structure)Boundary value problemShearing (physics)Inertial frame of referenceMathematicsStructural engineeringGeometryClassical mechanicsMathematical analysisPhysicsEngineeringThermodynamicsRailway Engineering and DynamicsOptical measurement and interference techniquesStructural Health Monitoring Techniques