A New Algorithm to Solve Meshing-In Impact Considering the Measured Pitch Error and to Investigate its Influence on the Dynamic Characteristics of a Gear System
“…The computing method of meshing impact is introduced in detail in the literature. 41 Therefore, this paper mainly determines the positions of the mating teeth coming into contact, shown in Figure 9. The impact speed and the stiffness of the initial meshing positions can be calculated by equations (4) to (7) in the literature.…”
Section: Dynamic Model Of Gear-rotor-bearing Systemmentioning
confidence: 99%
“…The impact speed and the stiffness of the initial meshing positions can be calculated by equations (4) to (7) in the literature. 41 By calculating, the meshing impact force in 19 meshing periods is shown in Figure 10. Figure 9.The actual contact positions in 19 meshing periods.Figure 10.Meshing impact force in a cycle.…”
Section: Dynamic Model Of Gear-rotor-bearing Systemmentioning
Gear manufacturing error is one of the main sources of vibration and noise in gears; its influence on the dynamic transmission behaviour of gear systems is a research hotspot. In the current study on the effect of the manufacturing errors, the processing methods of the errors are mostly rough or hypothetical, so the analysis results cannot provide high reference value. This paper proposes a distinctive method to analyse the vibration response of helical gears in the presence of random manufacturing errors and modifications. The presented study performs tooth contact analysis (TCA) with the real tooth surface containing the random tooth profile error and the modification and performs loaded tooth contact analysis (LTCA) based on the superposition of the random pitch error and the initial gap between mating teeth obtained by TCA. Furthermore, the dynamic excitations, including time-varying mesh stiffness and meshing impact, are computed using the above-mentioned TCA and LTCA. The processing method for the manufacturing errors in this paper is reasonable and close to the actual situation of gear engagement. Using this proposed method, statistical analysis was carried out under machining accuracy grades 5, 6 and 7 to show the effect of the different distributions of random manufacturing errors on the gear vibration. The analysis results are of practical significance and provide references for the design and vibration control of gear drive systems.
“…The computing method of meshing impact is introduced in detail in the literature. 41 Therefore, this paper mainly determines the positions of the mating teeth coming into contact, shown in Figure 9. The impact speed and the stiffness of the initial meshing positions can be calculated by equations (4) to (7) in the literature.…”
Section: Dynamic Model Of Gear-rotor-bearing Systemmentioning
confidence: 99%
“…The impact speed and the stiffness of the initial meshing positions can be calculated by equations (4) to (7) in the literature. 41 By calculating, the meshing impact force in 19 meshing periods is shown in Figure 10. Figure 9.The actual contact positions in 19 meshing periods.Figure 10.Meshing impact force in a cycle.…”
Section: Dynamic Model Of Gear-rotor-bearing Systemmentioning
Gear manufacturing error is one of the main sources of vibration and noise in gears; its influence on the dynamic transmission behaviour of gear systems is a research hotspot. In the current study on the effect of the manufacturing errors, the processing methods of the errors are mostly rough or hypothetical, so the analysis results cannot provide high reference value. This paper proposes a distinctive method to analyse the vibration response of helical gears in the presence of random manufacturing errors and modifications. The presented study performs tooth contact analysis (TCA) with the real tooth surface containing the random tooth profile error and the modification and performs loaded tooth contact analysis (LTCA) based on the superposition of the random pitch error and the initial gap between mating teeth obtained by TCA. Furthermore, the dynamic excitations, including time-varying mesh stiffness and meshing impact, are computed using the above-mentioned TCA and LTCA. The processing method for the manufacturing errors in this paper is reasonable and close to the actual situation of gear engagement. Using this proposed method, statistical analysis was carried out under machining accuracy grades 5, 6 and 7 to show the effect of the different distributions of random manufacturing errors on the gear vibration. The analysis results are of practical significance and provide references for the design and vibration control of gear drive systems.
“…Jia and Fang 9 analysed the meshing impact excitation characteristics of gears at high speed and proposed a modification method. Guo and Fang 10 studied the actual changing rule of the meshing-in impact considering the measured pitch error and the effect on the dynamic characteristics of a gear system, and presented a new algorithm to calculate the meshing-in impact considering the measured pitch error. Mu et al 11,12 analysed the meshing impact characteristics of spiral bevel gears and proposed a modification method to reduce the meshing impact on the transmission process of spiral bevel gears.…”
The meshing impact on transmission system and internal meshing gear pair and its impact on the load sharing and dynamic characteristics of the system are not well understood yet. In this paper, the meshing impact models of internal gear pairs and planetary transmission system were successfully constructed, and the meshing impact point, meshing impact time and meshing impact force were accurately obtained. Meshing impact in gear transmission system is obviously affected by eccentricity error, installation error, and other errors. Due to the difference in error of each component, the internal and external gears of each branch lead to different meshing positions, which causes the constant change in meshing impact point, meshing impact time and meshing impact force. This creates difficulties in the analysis of meshing impact characteristics of gear transmission system. Load Tooth Contact Analysis (LTCA) method can be used to accurately analyse the change in position of gear tooth under load condition. Through the dynamic model of planetary transmission system, the influence in component errors on the contact position of tooth surface is obtained. Combining the loaded transmission error of the tooth surface under load and the geometric transmission errors under the influence of component errors, the model of meshing impact for accurately solving the system is deduced, and the influence of meshing impact on the system's load sharing coefficient and dynamic load factor coefficient is analysed. By comparing the planetary transmission system before and after considering the meshing impact of the system, it is found that the system's load-sharing coefficient increases slightly, dynamic load factor coefficient fluctuates significantly, and meshing force becomes more clutter after considering meshing impact.
“…References [35][36][37] investigated the influence of pitch error on meshing stiffness and vibration noise of the cylindrical helical gear transmission system. Guo and Fang [38] proposed a new method to calculate the meshing impact based on the measured pitch error and analyzed the effect of the meshing impact on the vibration and chaos characteristics of the helical gear transmission system. e above literature mainly studies the effect of pitch error on the dynamic characteristics of spur gear systems.…”
Aiming at the problem of pitch error of helical gear pair in engineering practice, the influence of pitch error on vibration, bifurcation, and chaos characteristics of the helical gear pair system is mainly studied. Due to the periodic time-varying nature of pitch error, a method of simulating the pitch error as a sine function is proposed to calculate pitch error. A nonlinear dynamic model of bending-torsion-shaft coupling of the helical gear pair system is established considering the effect of pitch error. The influence of pitch error on the vibration, bifurcation, and chaos characteristics of the system is analyzed by the Runge–Kutta numerical integration method. The research results show that the introduction of pitch error has the most significant impact on the torsional vibration of the system. With the increase in pitch error, the system exhibits rich bifurcation and chaos characteristics in the torsional direction. Moreover, it is also found that the vibration response in the torsional orientation of the system increases or decreases to the same degree when the system is in a periodic motion state, and the pitch error varies by the same extent. Therefore, the impact of pitch error on the dynamic performance of the helical gear pair system should be considered in engineering practice.
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