Spiral Bevel Gear Dynamic Contact and Tooth Impact Analysis

2011 ◽  
Vol 133 (8) ◽  
Author(s):  
Pei-Yu Wang ◽  
Sih-Ci Fan ◽  
Zi-Gui Huang

A significant portion of the research on spiral bevel gear focused on contact stress and assembly flexibility (V and H check) values, while only a few studies investigated the relationship between transmission errors and rotational speed. This paper addresses and discusses an approach for 3D dynamic contact and impact analysis of spiral bevel gear drives. Dynamic models considering friction, gear clearance, and time-varying stiffness were established. Finite element software was utilized to analyze the dynamic responses of gear transmission, surface contact stress, and root bending stress of a spiral bevel gear pair. The dynamic model simulated the vibration behavior of an actual gear set under dynamic loading. The dynamic responses of the spiral bevel gear drives were obtained under differential rotational speeds of the driver and the driven resistance. The stiffness and elastic deformation of gear teeth were calculated using the finite element method with actual geometry and gear positions. After the impact analysis, the numerical simulation results of transient and steady-state transmission errors are obtained simultaneously. Using the fast Fourier transform method, frequency spectrums of the transient and steady states of the calculated transmission errors are obtained to enable the gearbox designer to avoid the resonance zone.

Author(s):  
Xiangying Hou ◽  
Yuzhe Zhang ◽  
Hong Zhang ◽  
Jian Zhang ◽  
Zhengminqing Li ◽  
...  

The vector form intrinsic finite element (VFIFE) method is springing up as a new numerical method in strong non-linear structural analysis for its good convergence, but has been constricted in static or transient analysis. To overwhelm its disadvantages, a new damping model was proposed: the value of damping force is proportional to relative velocity instead of absolute velocity, which could avoid inaccuracy in high-speed dynamic analysis. The accuracy and efficiency of the proposed method proved under low speed; dynamic characteristics and vibration rules have been verified under high speed. Simulation results showed that the modified VFIFE method could obtain numerical solutions with good efficiency and accuracy. Based on this modified method, high-speed vibration rules of spiral bevel gear pair under different loads have been concluded. The proposed method also provides a new way to solve high-speed rotor system dynamic problems.


Author(s):  
Alfonso Fuentes ◽  
Ignacio Gonzalez-Perez ◽  
Faydor L. Litvin ◽  
Kenichi Hayasaka ◽  
Kenji Yukishima

2021 ◽  
Vol 13 (8) ◽  
pp. 168781402110371
Author(s):  
Yuan Chen ◽  
Xudong Mou

Spiral bevel gear is widely used in various mechanical transmission systems, such as tractor transmission system. Because it is mainly used in the heavy-load conditions, it would most likely resonate within the rated speed, resulting in tooth fatigue damage. In this paper, based on the principle of meshing and gear tooth machining, the spherically involute tooth profile equation of spiral bevel gear is deduced and the precise modeling method based on the CATIA is studied. The natural frequency and modal shape under free vibration are obtained by the finite element method (FEM), the influence of web thickness and web hole on the natural frequency of driven gear plate is analyzed as well. In addition, the experimental modal of bevel gear pair is carried out based on a multiple-reference impact test, Modal Assurance Criterion (MAC) is calculated, the three-dimensional modeling accuracy and the finite element analysis reliability are verified. The results show that the error between the measured frequency of bevel gear pair and the calculated frequency of the finite element simulation are both within 5%, and the MAC is above 0.8. The fourth-order natural frequency is the most sensitive to the web thickness, the second-order natural frequency is the most sensitive to the web hole.


Author(s):  
Zongde Fang ◽  
Hongbin Yang ◽  
Yanwei Zhou ◽  
Xiaozhong Deng

Abstract A new approach for optimizing the dynamic behavior of spiral bevel gear drives has been developed. The local synthesis, tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) techniques were used to constitute the design process with feedback, by which a contact ratio being near 2.0 or 3.0 would be achieved. An improved dynamic behavior of the spiral bevel gear drives under certain operating load or a wide range of load could be obtained.


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