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<p>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 (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="419_2025_2765_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(v_0\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>v</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation>) and the deflection of the elastica due to the weight of the mass (<i>w</i>) on the performance of the system, providing useful information for a better understanding of the dynamic behavior.</p>

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

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Ouadie El Mrimar,
  • Othmane Bendaou,
  • Zakaria El Haddad,
  • Bousselham Samoudi

摘要

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 ( \(v_0\) 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.