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Calculation of meshing stiffness of PEEK-metal gears considering the effect of viscoelasticity
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DOI：10.1108/ILT-08-2025-0395.png)
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Abstract
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PurposeTraditional time-varying meshing stiffness models for polymer gears ignore viscoelasticity, leading to inaccurate material response under alternating stress and limited dynamic prediction accuracy. This paper aims to propose a viscoelasticity-integrated meshing stiffness method for PEEK-metal gears and clarify temperature's influence on meshing stiffness.Design/methodology/approachA generalized Maxwell model characterizes PEEK viscoelasticity. The constitutive relation is integrated into stiffness calculation via the micro-element method and viscoelastic correspondence principle. ANSYS finite element models are established, and analytical/FE methods are cross-validated. Temperature effects (25 degrees C-120 degrees C) are analyzed.FindingsAnalytical/FE error is 5%-8% with consistent trends. PEEK's modulus decreases by 32%-40% in 25 degrees C-120 degrees C, reducing stiffness peaks by 7%-26% and fluctuations by 14%-21%. Viscoelasticity causes stiffness curve flattening, and metal gear square-wave models are unsuitable for plastic gears.Originality/valueThis reveals temperature's mechanism via viscoelasticity, improving plastic gear theory. It provides theoretical support for polymer transmission system analysis, vibration suppression and optimization, guiding subsequent PEEK-metal gear research.Peer reviewThe peer review history for this article is available at: https://publons.com/publon/10.1108/ILT-08-2025-0395/
Keywords:
Time-varying meshing stiffness
Polymer gears
Viscoelasticity
Finite-element method
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