Modal Analysis of Aeronautic Spiral Bevel Gear in the Temperature Field

Abstract

The temperature of the bevel gear tooth surface will increase greatly because of its special structure. Modal is the characteristic of reaction structure. In order to design and manufacture higher quality aerial bevel gears, it is necessary to study the modal of aerial bevel gears under the action of the temperature field. Firstly, a temperature field calculation model is established according to heat transfer theory. Then, based on the traditional linear modal theory, the modal analysis model under the influence of temperature was established considering the influence of rotational speed and temperature field on the stiffness. Based on the model, modal analysis of the driven gear of a certain aviation bevel gear is carried out. It can be seen from the analysis results that the speed has a great influence on the gear stiffness, and the positive and negative effects are related to the direction of the centrifugal force. Secondly, the inhomogeneity of temperature field distribution also affects the natural frequency and then the gear stiffness. When the speed field and temperature field work together, the pitch shape changes the most, so it is necessary to consider temperature as an influencing factor in the design of aerial bevel gears.