Single-stage gear transmission parametrically-excited vibration response frequency spectrum prediction method based on modulation feedback

By using a single-degree-of-freedom dynamic model and Bessel function model based on modulation feedback, combined with the Runge-Kutta method and Fourier transform, the problem of frequency splitting of parametrically excited vibration under time-varying meshing stiffness of a single-stage gear system is solved, achieving accurate prediction of the spectrum and improvement of dynamic performance.

CN120632282APending Publication Date: 2025-09-12TIANJIN UNIV
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Patent Information

Application Number
CN202510701729.X
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-05-28
Publication Date
2025-09-12

AI Technical Summary

Technical Problem

Existing technologies make it difficult to accurately predict the parametrically excited vibration characteristics and frequency decomposition laws of a single-stage gear system under time-varying meshing stiffness, which affects transmission accuracy and fault diagnosis accuracy.

Method used

By establishing a single-degree-of-freedom dynamic model based on modulation feedback, the first-order Bessel function is introduced to construct a quantitative relationship model between the excitation parameters and the sideband order, and the fourth-order Runge-Kutta method and fast Fourier transform are combined to predict the parametrically excited vibration response spectrum.

Benefits of technology

It achieves accurate spectrum prediction of parametrically excited vibration of single-stage gear systems, improves dynamic performance and fault diagnosis accuracy, and provides a quantitative basis for gear system design.

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Abstract

The invention discloses a single-stage gear parametrically-excited vibration response frequency spectrum prediction method based on modulation feedback, and the method comprises the steps: building a single-degree-of-freedom kinetic equation containing time-varying meshing stiffness based on the Newton second law, and solving a main oscillation frequency through employing a modulation feedback theory and a trigonometric series approximation method; constructing a quantitative prediction model of excitation parameters and dominant side frequency orders on the basis of a first-class Bessel function, and solving system response by applying a four-order Runge-Kutta method in combination with fast Fourier transformation to verify the prediction model; a parameter sensitivity analysis framework is established through a harmonic coefficient method, and the influence of excitation parameters on the main oscillation frequency and the side frequency amplitude ratio is quantified.
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