A numerical survey of nonlinear dynamical responses of discrete pantographic beams
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Published:2021-03-09
Issue:4
Volume:33
Page:1465-1485
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ISSN:0935-1175
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Container-title:Continuum Mechanics and Thermodynamics
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language:en
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Short-container-title:Continuum Mech. Thermodyn.
Abstract
AbstractMaterials and structures based on pantographic cells exhibit interesting mechanical peculiarities. They have been studied prevalently in the static case, both in linear and nonlinear regime. When the dynamical behavior is considered, available literature is scarce probably for the intrinsic difficulties in the solution of this kind of problems. The aim of this work is to contribute to filling of this gap by addressing the dynamical response of pantographic beams. Starting from a simple spring mechanical model for pantographic beams, the nonlinear equilibrium problem is formulated directly for such a discrete system also considering inertia forces. Successively, the solution of the system of equilibrium equations is sought by means of a stepwise strategy based on a non-standard integration scheme. Here, only harmonic excitations are considered and, for large displacements, frequency-response curves are thoroughly discussed for some significant cases.
Funder
Università degli Studi di Sassari
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,Mechanics of Materials,General Materials Science
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