| Title: |
Free vibrations of an elastica around its post-buckled configurations |
| Authors: |
Kibach, Hasnaa; Ture Savadkoohi, Alireza; Lamarque, Claude-Henri |
| Contributors: |
Laboratoire de Tribologie et Dynamique des Systèmes (LTDS); École Centrale de Lyon (ECL); Université de Lyon-Université de Lyon-École Nationale des Travaux Publics de l'État (ENTPE)-Ecole Nationale d'Ingénieurs de Saint Etienne (ENISE)-Centre National de la Recherche Scientifique (CNRS); ANR-10-LABX-0060,CeLyA,Lyon Acoustics Centre(2010); ANR-11-IDEX-0007,Avenir L.S.E.,PROJET AVENIR LYON SAINT-ETIENNE(2011) |
| Source: |
ISSN: 0020-7462 ; International Journal of Non-Linear Mechanics ; https://hal.science/hal-05239102 ; International Journal of Non-Linear Mechanics, 2025, ⟨10.1016/j.ijnonlinmec.2025.105250⟩. |
| Publisher Information: |
CCSD; Elsevier |
| Publication Year: |
2025 |
| Collection: |
Université de Lyon: HAL |
| Subject Terms: |
Nonlinear vibrations; Free vibration analysis; Elastica; Buckling; [PHYS.MECA]Physics [physics]/Mechanics [physics]; [NLIN]Nonlinear Sciences [physics] |
| Description: |
International audience ; The post-buckled free vibration problem of an elastica around one of its vibration modes is investigated. For this, different equilibrium states of the elastica are detected by analyzing the dimensionless form of the governing equations. Then, the multiple scale method is employed to study the free vibration of the elastica in a selected post-buckled state around a specific vibration mode. At the micro-scale, the considered elastica can be supposed as an element of an architecture material with tailored mechanical behaviours. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1016/j.ijnonlinmec.2025.105250 |
| Availability: |
https://hal.science/hal-05239102; https://hal.science/hal-05239102v1/document; https://hal.science/hal-05239102v1/file/IJNM_KTSL_2025.pdf; https://doi.org/10.1016/j.ijnonlinmec.2025.105250 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.85341D |
| Database: |
BASE |