Nonlinear resonance characterization of parametrically excited pre-buckled elastic struts
File(s)
Published version
Author(s)
Cheng, Yu
Wadee, M Ahmer
Málaga-Chuquitaype, Christian
Type
Journal Article
Abstract
A simply supported planar elastic and inextensible strut subjected to a static axial load and a harmonic parametric excitation is studied. A variational formulation leads to a system of nonlinear partial differential equations that are subsequently discretized primarily by the first buckling mode and truncated to cubic order. Steady-state periodic responses and bifurcations are evaluated using numerical continuation and verified through finite element simulations. The analysis identifies five resonance behaviours, distinguished by their bifurcation structure, which partitions the static–dynamic loading parameter plane into regions associated with each resonance type. The present work challenges the widely accepted finding that pre-buckled inextensible struts manifest softening-type resonance under direct or parametric excitation and finds that the behaviour is richer than previous work suggests.
Date Issued
2026-06-15
Date Acceptance
2026-04-21
Citation
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2026, 482 (2340)
ISSN
1364-5021
Publisher
The Royal Society
Journal / Book Title
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume
482
Issue
2340
Copyright Statement
© 2026 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
License URL
Publication Status
Published
Article Number
20260072
Date Publish Online
2026-06-17