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<p> Strain wave gears are essential for precision systems requiring high reduction ratios in compact forms, yet conventional cup-type designs face axial length limitations. This study presents a comprehensive mechanical analysis of the Plate Harmonic Reducer (PHR) to address these constraints. We investigated the thickness-performance relationship through analytical modeling based on Kirchhoff-Love plate theory, nonlinear finite element simulations, and experimental validation. The analysis confirmed a cubic dependence of deformation force on thickness, while sensitivity analysis of the contact conditions validated the robustness of the proposed model. Experimental results demonstrated that the ultra-thin configuration (0.4 mm) achieves a transmission efficiency of 68.88 %—comparable to commercial units—while reducing axial thickness by 40.3 % and weight by 27.2 %. Crucially, this improvement presents a quantifiable design trade-off: while thinner plates maximize efficiency, they compromise torsional stiffness (decreasing from 141.03 Nm/rad at 1.2 mm to 62.25 Nm/rad at 0.4 mm). These findings provide validated guidelines for optimizing PHR specifications for space-constrained applications in robotics and portable instrumentation.</p>

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Mechanical Analysis of Plate Harmonic Reducer Considering Deformation of Thin-Plate Flex Spline

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月16日

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  • Seungbin You,
  • Eunho Sung,
  • Dongjun Kim,
  • Jaehun Kim,
  • Jaeheung Park

摘要

Strain wave gears are essential for precision systems requiring high reduction ratios in compact forms, yet conventional cup-type designs face axial length limitations. This study presents a comprehensive mechanical analysis of the Plate Harmonic Reducer (PHR) to address these constraints. We investigated the thickness-performance relationship through analytical modeling based on Kirchhoff-Love plate theory, nonlinear finite element simulations, and experimental validation. The analysis confirmed a cubic dependence of deformation force on thickness, while sensitivity analysis of the contact conditions validated the robustness of the proposed model. Experimental results demonstrated that the ultra-thin configuration (0.4 mm) achieves a transmission efficiency of 68.88 %—comparable to commercial units—while reducing axial thickness by 40.3 % and weight by 27.2 %. Crucially, this improvement presents a quantifiable design trade-off: while thinner plates maximize efficiency, they compromise torsional stiffness (decreasing from 141.03 Nm/rad at 1.2 mm to 62.25 Nm/rad at 0.4 mm). These findings provide validated guidelines for optimizing PHR specifications for space-constrained applications in robotics and portable instrumentation.