CN-121997634-A - Method and system for extracting traveling wave mode of gear

CN121997634ACN 121997634 ACN121997634 ACN 121997634ACN-121997634-A

Abstract

The invention relates to mechanical vibration simulation/test analysis technology, and discloses a method and a system for extracting travelling wave modes of gears, wherein the method comprises the steps of obtaining a gear time domain vibration response signal of any point on the gears through simulation or measurement; the method comprises the steps of obtaining a gear frequency domain response signal for a gear time domain vibration response signal through Fourier transformation, extracting side frequency amplitude values and phases at a resonance rotating speed, corresponding the amplitude values and phases of the side frequency to the amplitude values and phases of gear pitch diameter components, and determining traveling wave resonance modal response through the amplitude values and phases of the gear pitch diameter components and natural frequencies. In the dynamic simulation, only vibration data of one point on the gear is saved, so that the vibration signal on the whole circumference of the gear can be obtained, and the storage space is greatly reduced.

Inventors

WANG CHENGXIN
ZHU BINFENG
CHEN KEJIA
SI YAOXIN

Assignees

环研传动研究院(嘉兴)有限公司

Dates

Publication Date: 20260508
Application Date: 20251225

Claims (7)

1. A method of extracting a traveling wave mode of a gear, the method comprising: Obtaining a gear time domain vibration response signal at any point on a gear through simulation or measurement; Obtaining a gear frequency domain response signal, wherein the gear frequency domain response signal comprises a gear amplitude spectrum signal and a gear phase spectrum signal; gear resonance frequency conversion And calculating the natural frequency omega of the gear, and identifying the gear frequency conversion corresponding to the resonance peak value from the gear amplitude frequency spectrum signal Calculating corresponding gear natural frequency omega according to the gear tooth number Z; ; wherein ω is the natural frequency of the gear, The resonance frequency of the gear is changed, and Z is the number of teeth of the gear; Acquiring an edge frequency amplitude spectrum and an edge frequency phase spectrum, and obtaining the edge frequency amplitude spectrum and the edge frequency phase spectrum in a resonance state by extracting an edge frequency response of a gear resonance frequency conversion omega; the amplitude and the phase of the gear pitch diameter component are determined, and the amplitude of the gear pitch diameter component is determined by establishing a corresponding relation between each side frequency component in the side frequency amplitude spectrum and the side frequency phase spectrum and the gear pitch diameter component of the gear resonance mode And phase of ; Traveling wave resonant modal response By determination of the amplitude of the gear pitch diameter component And phase of Determination of traveling wave resonant mode response by natural frequency ω 。
2. The method for extracting traveling wave modes of gears according to claim 1, further comprising acquiring vibration signals before acquiring the time domain vibration response signals of the gears, wherein the acquisition of the vibration signals of the sensors is performed by installing the sensors on the gears.
3. The method of claim 1, wherein prior to the acquiring of the gear time domain vibration response signal, the acquiring of the vibration signal further comprises acquiring the vibration signal by finite element model simulation calculation.
4. A method of time domain vibration signal acquisition of a gear according to claim 2, wherein the sensor is mounted on the rim of the gear or on the web of the gear.
5. A method of extracting a traveling wave mode of a gear as claimed in claim 1, wherein the gear resonates at a frequency And calculating the natural frequency omega of the gear, and identifying the gear frequency conversion corresponding to the resonance peak value from the gear amplitude frequency spectrum signal And calculates the corresponding gear natural frequency omega according to the gear number Z, ; Wherein ω is the natural frequency of the gear, Z is the number of teeth of the gear.
6. A method of extracting a traveling wave mode of a gear as defined in claim 1, wherein the magnitude of the gear pitch diameter component And phase of Determination of traveling wave resonant mode response by natural frequency ω , ; Wherein, the Is the spatial angular position of the gear, and K is the pitch diameter of the gear, and omega is the natural frequency of the gear; The phase of the pitch diameter component of the gear; is the magnitude of the gear pitch diameter component.
7. A system for extracting a traveling wave gear mode, characterized by a method for implementing the traveling wave gear mode of any one of claims 1-6, comprising: The gear time domain vibration response signal acquisition module acquires the gear time domain vibration response signal of any point on the gear through simulation or measurement; The gear frequency domain response signal acquisition module is used for obtaining a gear frequency domain response signal through Fourier transform on the gear time domain vibration response signal, wherein the gear frequency domain response signal comprises a gear amplitude frequency spectrum signal and a gear phase frequency spectrum signal; gear resonance frequency conversion And the gear natural frequency omega calculation module is used for identifying gear frequency conversion corresponding to the resonance peak value from the gear amplitude frequency spectrum signal Calculating corresponding gear natural frequency omega according to the gear tooth number Z; ; wherein ω is the natural frequency of the gear, The resonance frequency of the gear is changed, and Z is the number of teeth of the gear; The acquisition module of the side frequency amplitude spectrum and the side frequency phase spectrum acquires the side frequency amplitude spectrum and the side frequency phase spectrum under the resonance state by extracting side frequency response of the gear resonance frequency conversion omega; The determination module of the amplitude and the phase of the gear pitch diameter component determines the amplitude of the gear pitch diameter component by establishing a corresponding relation between each side frequency component in the side frequency amplitude spectrum and the side frequency phase spectrum and the gear pitch diameter component of the gear resonance mode And phase of ; Traveling wave resonant modal response Through the amplitude of the gear pitch diameter component And phase of Determination of traveling wave resonant mode response by natural frequency ω 。

Description

Method and system for extracting traveling wave mode of gear Technical Field The invention relates to a mechanical vibration simulation/test analysis technology, in particular to a method and a system for extracting a traveling wave mode of a gear. Background Gears are commonly used as transmission components and are widely applied to various fields such as aerospace, automobiles, wind power, robots and the like. The lightweight design of the gears enables the gears to generate obvious elastic vibration. The higher speeds of the transmission (e.g., the aircraft gears and the new energy vehicle gears) have resulted in more resonances occurring within the operating speed range. When resonance occurs, the vibration amplitude of the gear increases sharply. Excessive gear vibration can result in excessive loading of the gear itself and the supporting bearings, which in turn can lead to tooth surface pitting, tooth root breakage, and bearing damage. Too much gear vibration can also lead to higher noise, affecting the user experience. Natural frequencies and modes are the basis for studying and solving resonance problems. When the resonance occurs at an excitation frequency (frequency multiplication of the meshing frequency) close to the natural frequency, the gear vibration mode at the resonance is the mode. For a rotating gear, the resonant mode is a traveling wave mode, and not a standing wave mode. Common tapping modality tests and commercial finite element eigenvalue solutions are performed with the gear in a non-rotating state. The natural frequency and the standing wave mode obtained by the knocking test or the finite element solution are different from the resonance frequency and the traveling wave mode of the rotating gear. Some models considering the high-speed rotation effect can solve the traveling wave mode and the natural frequency, but the reliability of the result depends on the accuracy of the model. As in the prior art 1, CN202010050870.5 is characterized by: and calculating the value to obtain the traveling wave mode of the gear. The mode obtained through eigenvalue calculation and simulation model correction is a standing wave mode, and is not a real traveling wave resonance mode for the gear. Abnormal peak signals for gear fault identification in prior art 2, cn 202110707786.0. In the prior art 3, the planetary gear train vibration simulation signal generated by considering meshing impact and path modulation does not consider the influence of the rotating speed, so that the resonant frequency cannot be identified and the travelling wave resonant mode cannot be extracted by analyzing the signal. Disclosure of Invention The invention provides a method and a system for extracting a gear traveling wave mode, aiming at the problems that only a standing wave mode and natural frequency thereof can be obtained in the prior art, cannot be simultaneously performed with a sweep frequency test and need to be performed independently, and the standing wave mode is obtained by knocking a plurality of points on the circumference of a gear. In order to solve the technical problems, the invention is solved by the following technical scheme: a method of extracting a gear traveling wave mode, the method comprising: Obtaining a gear time domain vibration response signal at any point on a gear through simulation or measurement; Obtaining a gear frequency domain response signal, wherein the gear frequency domain response signal comprises a gear amplitude spectrum signal and a gear phase spectrum signal; gear resonance frequency conversion And calculating the natural frequency omega of the gear, and identifying the gear frequency conversion corresponding to the resonance peak value from the gear amplitude frequency spectrum signalCalculating corresponding gear natural frequency omega according to the gear tooth number Z; ; wherein ω is the natural frequency of the gear, The resonance frequency of the gear is changed, and Z is the number of teeth of the gear; Acquiring an edge frequency amplitude spectrum and an edge frequency phase spectrum, and obtaining the edge frequency amplitude spectrum and the edge frequency phase spectrum in a resonance state by extracting an edge frequency response of a gear resonance frequency conversion omega; the amplitude and the phase of the gear pitch diameter component are determined, and the amplitude of the gear pitch diameter component is determined by establishing a corresponding relation between each side frequency component in the side frequency amplitude spectrum and the side frequency phase spectrum and the gear pitch diameter component of the gear resonance mode And phase of; Traveling wave resonant modal responseBy determination of the amplitude of the gear pitch diameter componentAnd phase ofDetermination of traveling wave resonant mode response by natural frequency ω。 Preferably, before the acquisition of the time domain vibration response signal of the gear, the method fu