On the stability of imperfect Von Mises arches

IF 2.6 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-10-20 DOI:10.1016/j.mechrescom.2025.104542

Antonio Capsoni

引用次数: 0

Abstract

This communication aims to provide further insight into the interaction between the classical limit point instability (“snap-through”) of a Von Mises arch and the Eulerian buckling of its constituent rods. The theoretical model incorporates the effects of symmetric geometric imperfections in the rods, as well as the reduction in axial stiffness resulting from second-order effects. The analysis is developed on a theoretical basis to elucidate the influence of key governing parameters—namely, arch shallowness, rod slenderness, and imperfection magnitude. Numerical simulations are performed to validate and illustrate the proposed formulation.

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不完全Von Mises拱的稳定性

本文旨在进一步深入了解冯·米塞斯拱的经典极限点不稳定性（“穿透”）与其组成杆的欧拉屈曲之间的相互作用。该理论模型结合了杆的对称几何缺陷的影响，以及二阶效应导致的轴向刚度降低。该分析是在理论基础上进行的，旨在阐明拱浅度、杆长细度和缺陷大小等关键控制参数的影响。数值模拟验证和说明了所提出的公式。

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

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.