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<p>In aircraft engines, planetary gears can be implemented to supply a&#xa0;reduction stage to the propeller rotational speed, providing for both the turbomachine and the propeller a&#xa0;more beneficial speed range and enabling higher bypass ratios. The use of lightweight components, such as thin-walled gears, in aeronautical applications introduces unique dynamic characteristics that must be carefully considered during the design process in order to prevent dynamic tooth overloads. Studies have shown that conventional lumped parameter models do not sufficiently represent these specific dynamic characteristics of lightweight gears [<CitationRef AdditionalCitationIDS="CR2" CitationID="CR1">1</CitationRef>–<CitationRef CitationID="CR3">3</CitationRef>].</p><p>The proposed paper introduces a&#xa0;hybrid modelling strategy on two-stage reduction planetary gears. Thin-walled gear geometries are modelled using finite element analysis (FEA) and are integrated into dynamic calculations through a&#xa0;condensed substructure, which represents the dynamic behaviour of the lightweight gear. Mesh interactions are characterised by an analytical thin-slice model. The results show that the elastic foundation of the thin-walled gear significantly influences both the static and dynamic behaviour of the planetary gear system. Rim deformations lead to local pressure gradients and potential contact losses, while dynamic analyses reveal that the modal behaviour of lightweight gears affects rim displacements and dynamic tooth loads. The findings confirm that lumped parameter models cannot accurately capture the dynamics of lightweight planetary gears, thus emphasising the interest of the proposed hybrid modelling technique as an interesting alternative to full three-dimensional finite element models for the design and analysis of such systems.</p>

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A hybrid modelling approach for double stage planetary gear dynamics in aeronautical applications

  • 期刊论文

  • 发表日期：

    2025年9月16日

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  • Sebastian Klein,
  • B. Guilbert,
  • L. Biadalla,
  • Philippe Velex

摘要

In aircraft engines, planetary gears can be implemented to supply a reduction stage to the propeller rotational speed, providing for both the turbomachine and the propeller a more beneficial speed range and enabling higher bypass ratios. The use of lightweight components, such as thin-walled gears, in aeronautical applications introduces unique dynamic characteristics that must be carefully considered during the design process in order to prevent dynamic tooth overloads. Studies have shown that conventional lumped parameter models do not sufficiently represent these specific dynamic characteristics of lightweight gears [1–3].

The proposed paper introduces a hybrid modelling strategy on two-stage reduction planetary gears. Thin-walled gear geometries are modelled using finite element analysis (FEA) and are integrated into dynamic calculations through a condensed substructure, which represents the dynamic behaviour of the lightweight gear. Mesh interactions are characterised by an analytical thin-slice model. The results show that the elastic foundation of the thin-walled gear significantly influences both the static and dynamic behaviour of the planetary gear system. Rim deformations lead to local pressure gradients and potential contact losses, while dynamic analyses reveal that the modal behaviour of lightweight gears affects rim displacements and dynamic tooth loads. The findings confirm that lumped parameter models cannot accurately capture the dynamics of lightweight planetary gears, thus emphasising the interest of the proposed hybrid modelling technique as an interesting alternative to full three-dimensional finite element models for the design and analysis of such systems.