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Influence of the geometric nonlinearity on the wave propagation properties of periodic lattice frame structures
Author(s) -
Mellmann Marius,
Zhang Chuanzeng
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000087
Subject(s) - lattice (music) , vibration , nonlinear system , stiffness , physics , wave propagation , lattice vibration , frame (networking) , resonator , acoustics , mathematical analysis , classical mechanics , mathematics , optics , condensed matter physics , engineering , telecommunications , quantum mechanics , phonon , thermodynamics
The elastic wave propagation and vibration characteristics of periodic lattice frame structures can be tuned by changing the density or the stiffness of the structural components, adding certain local resonators or pre‐deforming some structural members [1, 2]. In this way, it is possible to generate the so‐called band‐gaps, which are certain frequency ranges, in which the propagation of elastic or acoustic waves is prohibited. In this paper, the influence of the geometric nonlinearity on the wave propagation properties of two‐dimensional (2D) periodic lattice frame structures is analyzed.