The oblique straight tooth model is a mechanical model of the straightening gear and concentrated load that retains the sharp (blunt) angle JL at both ends of the gear. The analysis shows that the model can also simulate the single tooth meshing of the double circular arc gear. Stiffness. These two models are established for the tooth profile of the double arc gear. The ability to automatically generate mesh division is poor, and the specificity is strong, which is difficult to promote to other types of tooth profiles. Therefore, the research on the calculation method of single-tooth meshing stiffness of double-arc gear is an important part of the research on the dynamics of double-arc gear. The dynamics of gears is one of the most difficult problems in the field of gear research because of its many influencing factors and uncertainties. The double-arc gear is a gear with relatively complicated tooth profile and late application, so the research on the dynamic characteristics of the double-arc gear is not perfect.
Focusing on the characteristics of double-arc gears, solving the variable-coefficient differential equations and experimental research on a pair of double-arc gears, the main conclusions are: the coincidence degree is integer or the tooth width corresponding to the mantissa part is equal to the double arc The dynamic load factor of the gear is small; the dynamic load coefficient decreases with the increase of the static load and increases with the increase of the rotational speed; the modification can improve the dynamic characteristics of the double circular arc gear. The analytical model used is also too simple (using the spur gear single degree of freedom model), mainly based on assumptions and approximations to establish parameters such as single tooth mesh stiffness, lack of strict derivation, and fewer test groups. Therefore, these conclusions are still relatively simple, and it is difficult to guide the vibration reduction and noise reduction design of the double arc gear and meet the engineering requirements. After recognizing that the noise of double arc gears has become an important factor affecting the further development of double arc gears, people pay attention to the research and practice of vibration reduction and noise reduction of double arc gears, mainly from increasing damping and reducing meshing stiffness. In other respects, the vibration reduction and noise reduction of the double arc gear are discussed.
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