Coupling Vibration Characteristics of High Linear Speed Rotor-planetary Gear Electro-mechanical Transmission System

doi:10.12382/bgxb.2022.0861

Abstract

Abstract:

As the main development direction of future transmission forms, the electro-mechanical transmission system has the characteristics of large transmission power and high operating speed. During operation, the vibration of the rotor caused by its high speed interact with the vibration generated by planetary gear meshing, thus forming the coupling vibration process of the rotor-planetary gear system. A coupling vibration dynamic model of rotor-planetary gear electro-mechanical transmission system is established, the vibration characteristics of the system at different speeds are analyzed, the modal analysis of the system is performed, and the results of the modal analysis are compared with the vibration characteristics. By studying the vibration characteristics of the rotor-planetary gear system, it is revealed that system vibration increases with the speed. When passing a certain speed range, the vibration remains at a certain level. As the speed continues to rise, system vibration gradually increases. The vibration characteristics under the coupling effect of the gear system and the drive motor rotor are obtained, which provides a theoretical basis for the high-speed design of the electro-mechanical transmission system.

Key words: electro-mechanical transmission, rotor-Planetary gear system, coupled vibration characteristic, model analysis

CLC Number:

TJ81⁺0.3

ZENG Gen, MA Changjun, PANG Daqian, LI Tonghui, ZHANG Nan. Coupling Vibration Characteristics of High Linear Speed Rotor-planetary Gear Electro-mechanical Transmission System[J]. Acta Armamentarii, 2023, 44(1): 156-164.

Figures/Tables 18

Fig.1 Dynamic model of the gear-rotor system

Fig.2 Schematic diagram of dynamic relationship of the planetary gear system

Fig.3 Diagram of the rotor-planetary gear system

Fig.4 Three dimensional model of the rotor-planetary gear system

Table 1 Rotor-gear system parameters

部件	齿数	模数/ mm	压力角/(°)	杨氏模量 E/(N·mm^-2)	泊松比	齿宽/ mm
太阳轮	37	3	20	2.07×10⁵	0.29	20
行星轮	22	3	20	2.07×10⁵	0.29	20
齿圈	79	3	20	2.07×10⁵	0.29	20
转子				2.07×10⁵	0.29

Fig.5 Simulation model of the rotor-planetary gear system

Fig.6 STFT spectrum of sun gear vibration of the rotor-planetary gear system at 4000r/m

Fig.7 STFT amplitude of sun gear vibration in the speed range of 3000~12000r/m

Fig.8 STFT amplitude of internal transmission shaft vibration at 3000~12000r/m

Fig.9 Transient contact force between the sun gear and the planetary gear at 4000r/m

Fig.10 Transient contact force between the sun gear and the planetary gear at 3000r/m

Fig.11 Schematic diagram of the gear system test bench

Fig.12 FFT of the gear-rotor system after fault free and crack treatments

Table 2 Comparison between experiment at and simulatied results under the differen failur conditions

主频幅值	无故障齿轮	3mm裂纹齿轮	升高比率/%
实验值/(mm·s^-2)	0.098	0.1306	↑24.96
仿真值/(rad·s^-2)	26587	36454	↑27.06

Fig.13 Modal finite element analysis model of the rotor-gear system

Table 3 First 30-order modal analysis results of the high linear speed rotor-planetary gear system

阶次	1	2	3	4	5	6	7	8	9	10
频率/Hz	38.841	39.455	77.714	236.58	488.42	493.41	3446.4	4260.8	4344.3	4519.8
阶次	11	12	13	14	15	16	17	18	19	20
频率/Hz	4743.7	4840.7	5011.8	5015.3	5240.1	5282.1	5953.5	6219.2	6670.2	6872.9
阶次	21	22	23	24	25	26	27	28	29	30
频率/Hz	6913.8	7054.3	7058.8	7090.2	7148.8	7207.4	8035.6	8055.7	8182.5	8362.2

Fig.14 Curve of the first 30-order modal results of the high linear speed rotor-planetary gear system

Fig.15 First 9-order modal shapes of the high linear speed rotor-planetary gear system

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