On the continuum modeling of the foldable rod with rigid links
Year: 2025
Type: article
Abstract: We study the small-amplitude motion of a foldable, rod-like structure consisting of rigid links connected by torsional springs. The discrete model of the structure results in two dispersion curves: acoustic and optical. Depending on the structural parameters, stop bands may be observed. Using the long-wave approximation, we introduced a series of continuum models. However, the first-order approximation does not capture the behavior of the discrete model. Interestingly, in some cases, there is only an optical mode. However, higher-order approximations can reproduce behavior similar to that of the discrete model. Therefore, the bending-dominant structure requires an enhanced continuum model.
Authors: Igor Berinskii, Victor A. Eremeyev
Institutions: Tel Aviv University, University of Cagliari
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,580
Awards: G3348757440, G4547162921
OpenAlex ID: W4416409345
