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<p>Optimization tools have been increasingly gaining ground in the design of turbomachinery components. However, there is a noticeable lack of studies applying topology optimization to design these types of equipment. Enhancing the design of these components is crucial to reducing vibration levels and extending their useful life. This study focuses on topology optimization of rotating structures considering turbulent swirl flow and natural frequency constraints. The proposed optimization problem aims to minimize compliance while adhering to volume and natural frequency constraints, specifically targeting the three lowest natural frequencies. The governing equations are solved using separate domains: the incompressible Reynolds-Averaged Navier–Stokes (RANS) equations with the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="158_2025_4017_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(k-\upomega\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>-</mo> <mi mathvariant="normal">ω</mi> </mrow> </math></EquationSource> </InlineEquation> turbulence model for the fluid and linear elasticity with 2D axisymmetry for the solid. The optimization is carried out using the Topology Optimization of Binary Structures with Geometry Trimming (TOBS-GT) method, which employs discrete (binary) design variables. Two numerical examples are explored: the rotating wall and the multiple rotating structures. The rotating wall example investigates the penalization factor, rotational speed, and natural frequency constraint influence in the optimized designs. In addition, the multiple rotating structures example explores the effects of rotational speed, natural frequency constraint, and positive internal pressure within the channel.</p>

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Topology optimization of rotating structures considering turbulent fluid–structure interaction problems and natural frequency constraints

  • 期刊论文

  • 发表日期：

    2025年5月19日

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  • Lucas O. Siqueira,
  • Anderson S. C. Azevêdo,
  • Emílio C. N. Silva,
  • Renato Picelli

摘要

Optimization tools have been increasingly gaining ground in the design of turbomachinery components. However, there is a noticeable lack of studies applying topology optimization to design these types of equipment. Enhancing the design of these components is crucial to reducing vibration levels and extending their useful life. This study focuses on topology optimization of rotating structures considering turbulent swirl flow and natural frequency constraints. The proposed optimization problem aims to minimize compliance while adhering to volume and natural frequency constraints, specifically targeting the three lowest natural frequencies. The governing equations are solved using separate domains: the incompressible Reynolds-Averaged Navier–Stokes (RANS) equations with the \(k-\upomega\) k - ω turbulence model for the fluid and linear elasticity with 2D axisymmetry for the solid. The optimization is carried out using the Topology Optimization of Binary Structures with Geometry Trimming (TOBS-GT) method, which employs discrete (binary) design variables. Two numerical examples are explored: the rotating wall and the multiple rotating structures. The rotating wall example investigates the penalization factor, rotational speed, and natural frequency constraint influence in the optimized designs. In addition, the multiple rotating structures example explores the effects of rotational speed, natural frequency constraint, and positive internal pressure within the channel.