Abstract
The mesh stiffness of gear pairs used in aerospace applications, such as geared turbofan, has a vital influence on vibration and noise. To compensate for the deficiencies of the conventional method that does not consider slice coupling and structure coupling simultaneously, a comprehensive mathematical model for computing the mesh stiffness of helical gears is established. In this novel model, the effect of structure coupling and slice coupling between neighboring sliced gears are considered. The effect of the axial component of meshing force is also taken into account simultaneously. The results obtained by the comprehensive model are consistent with the finite element method and it proves that the novel mathematical model is sound. The influences of the helical angle and addendum modification coefficient on mesh stiffness are studied. The results show that the mesh stiffness of helical gears would be decreased in multiteeth regions caused by structure coupling. With or without consideration of the axial component, the relative mean values of mesh stiffness become larger with an increasing helical angle. The fluctuation value of mesh stiffness decreases when a positive addendum modification coefficient is adopted. The addendum modification also changes the phase of mesh stiffness. This study is helpful for a vibration analysis of gear transmission systems.
Highlights
Gear transmission is widely used in aerospace [1,2], vehicles [3], wind turbines [4,5], etc
The analytical method has been adopted to obtain the mesh stiffness with the goal of reducing the cost of experiments and the computing time required by the finite element method
In order to reduce the cost of the experimental method and the calculating time of finite element method, and make up for the shortcomings of the traditional analytical method, this paper focuses on establishing a comprehensive analytical model for evaluating the mesh stiffness of the helical gear
Summary
Gear transmission is widely used in aerospace [1,2], vehicles [3], wind turbines [4,5], etc. The analytical method has been adopted to obtain the mesh stiffness with the goal of reducing the cost of experiments and the computing time required by the finite element method. Xie derived the formula to calculate the stiffness of the fillet-foundation when two tooth pairs of a spur gear are engaged simultaneously [22]. The helical gear is considered as many independent spur gears, and the effect of the relationship between neighboring sliced gears and the influence of the axial mesh force on the comprehensive mesh stiffness have not been considered simultaneously. In order to reduce the cost of the experimental method and the calculating time of finite element method, and make up for the shortcomings of the traditional analytical method, this paper focuses on establishing a comprehensive analytical model for evaluating the mesh stiffness of the helical gear. The influences of the helical angle and addendum modification coefficient on mesh stiffness are investigated
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
