<p>Gears operating at high rotational speeds are prone to resonance-induced load amplification, which can significantly shorten their service life. This study quantifies the dynamic factor (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:{K}_{v}\)</EquationSource> </InlineEquation>) of a spur gear pair operating between 500 and 4,000&#xa0;rpm by combining high-fidelity dynamics simulations with targeted experiments. The simulation model, validated against experimentally measured dynamic meshing forces, accurately reproduces the primary resonance at 3,450&#xa0;rpm with a mere 2.48% error in <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:{K}_{v}\)</EquationSource> </InlineEquation>. A comparison with calculations based on ISO 6336 Method B reveals that this standard tends to overestimate both the resonance speed and <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:{K}_{v}\)</EquationSource> </InlineEquation>, leading to unnecessarily conservative designs. Parametric studies show that increasing the torque from 100&#xa0;N·m to 500&#xa0;N·m reduces <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\:{K}_{v}\)</EquationSource> </InlineEquation> by up to 14%, while crowning that reduces the peak-to-peak transmission error from 4.5&#xa0;μm to 2.0&#xa0;μm attenuates <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\:{K}_{v}\)</EquationSource> </InlineEquation> by 22% and suppresses contact stress amplification. These findings demonstrate that validated simulations enable more accurate resonance prediction and promote more weight-efficient gear design for high-speed applications than empirical ISO formulas.</p>

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Prediction and reduction of dynamic factor based on dynamic behavior of gear systems

  • Donggun Lee,
  • Sung-Bo Shim,
  • Suchul Kim

摘要

Gears operating at high rotational speeds are prone to resonance-induced load amplification, which can significantly shorten their service life. This study quantifies the dynamic factor ( \(\:{K}_{v}\) ) of a spur gear pair operating between 500 and 4,000 rpm by combining high-fidelity dynamics simulations with targeted experiments. The simulation model, validated against experimentally measured dynamic meshing forces, accurately reproduces the primary resonance at 3,450 rpm with a mere 2.48% error in \(\:{K}_{v}\) . A comparison with calculations based on ISO 6336 Method B reveals that this standard tends to overestimate both the resonance speed and \(\:{K}_{v}\) , leading to unnecessarily conservative designs. Parametric studies show that increasing the torque from 100 N·m to 500 N·m reduces \(\:{K}_{v}\) by up to 14%, while crowning that reduces the peak-to-peak transmission error from 4.5 μm to 2.0 μm attenuates \(\:{K}_{v}\) by 22% and suppresses contact stress amplification. These findings demonstrate that validated simulations enable more accurate resonance prediction and promote more weight-efficient gear design for high-speed applications than empirical ISO formulas.