Method for quickly calculating time-varying meshing stiffness of helical gear pair under actual working conditions

Abstract

The method for quickly calculating the time-varying meshing stiffness of the helical gear pair under the actual working condition comprises the following steps: firstly, calculating the length of a contact line on gear teeth participating in meshing in the helical gear at a certain moment according to the overlap ratio of the helical gear under the specific working condition and the meshing position of the helical gear pair at the certain moment, therefore, each gear tooth participating in meshing in the helical gear pair at the moment is decomposed into countless independent straight tooth slices with the same thickness along the tooth width direction; calculating the meshing radius of a straight tooth slice on the end surface of the helical gear pair at the moment; calculating the meshing stiffness of all straight tooth slice meshing pairs of each gear tooth participating in meshing in the helical gear pair at the moment by considering the gear pair displacement coefficient, the overlap ratio and the like, and calculating the meshing stiffness of each meshing gear tooth of the helical gear pair at the moment and the total meshing stiffness of the helical gear pair; and finally, by analogy, calculating the meshing stiffness of the helical gear pair at each discrete moment under the actual working condition, thereby quickly calculating the time-varying meshing stiffness of thehelical gear pair under the actual working condition.

Description

technical field [0001] The invention belongs to the field of dynamic analysis of a gear transmission system, in particular to a fast calculation method for time-varying meshing stiffness of a helical gear pair under actual working conditions. [0002] technical background [0003] Helical gears have stable transmission, strong load capacity and high transmission efficiency, so they are widely used in various industrial fields such as automobiles and aviation. At present, there are many researches on gears, but there are still many problems in engineering applications, such as the vibration of gear transmission. Noise problem. As the main internal excitation source of gear transmission vibration and noise, time-varying mesh stiffness excitation has been studied by a large number of scholars, but it is still difficult to meet practical engineering applications. For example, in actual working conditions, the input speed and torque of the gear system are time-varying. The input ...

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Problems solved by technology

[0003] Helical gears have stable transmission, strong load capacity and high transmission efficiency, so they are widely used in various industrial fields such as automobiles and aviation. At present, there are many researches on gears, but there are still many problems in engineering applications, such as the vibration of gear transmission. noise problem

As the main internal excitation source of gear transmission vibration and noise, time-varying mesh stiffness excitation has been studied by a large number of scholars, but it is still difficult to meet practical engineering applications. For example, in actual working conditions, the input speed and torque of the gear system are time-varying. The input speed and torque of the gear pair are different at each moment, the number of teeth participating in the meshing gear changes with time, the meshing position of each meshing gear tooth changes with time, and the meshing force at the moment of meshing also changes with time. The time-varying mesh stiffness of helical gear represented by the analysis method cannot meet the fast calculation of the time-varying mesh stiffness under actual working conditions

Among them, the finite element method is inefficient, and it is difficult to quickly solve the time-varying mesh stiffness of helical gear pairs under the actual time-varying speed and torque conditions; the analytical method is also mainly for the time-varying mesh stiffness of spur gears or helical gears under constant input torque and speed Fast calculation of , ignoring the time-varying input torque and speed under actual working conditions

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