Propagating parameter uncertainty in dynamic modeling of a mechanical system using a perturbation method: a case study on pole vaulting

IF 2.2 3区 工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2025-02-01 DOI:10.1007/s00419-025-02765-z
Ouadie El Mrimar, Othmane Bendaou, Zakaria El Haddad, Bousselham Samoudi
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引用次数: 0

Abstract

This research concentrates on examining the dynamic responses of a system modeling the pole vault as mass–elastica, characterized by uncertain parameters. A first-order perturbation method (PM) is introduced and compared to the second-order PM and the reference Monte Carlo method. The results demonstrate an improvement in computational efficiency and accuracy under moderate uncertainties. This study highlights the impact of key parameters, such as the nondimensional velocity (\(v_0\)) and the deflection of the elastica due to the weight of the mass (w) on the performance of the system, providing useful information for a better understanding of the dynamic behavior.

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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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