Free vibrations of an elastica around its post-buckled configurations

IF 3.2 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-09-01 DOI:10.1016/j.ijnonlinmec.2025.105250

H. Kibach, A. Ture Savadkoohi, C.-H. Lamarque

引用次数: 0

Abstract

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 analysing 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.

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弹性材料绕其后屈曲结构的自由振动

研究了弹性结构绕某一振型的后屈曲自由振动问题。为此，通过分析控制方程的无量纲形式来检测弹性体的不同平衡状态。然后，采用多尺度法研究弹性材料在选定后屈曲状态下围绕特定振动模态的自由振动。在微观尺度上，弹性材料可以被认为是建筑材料的一个元素，具有定制的机械性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.