Gear transmission system non-linear dynamics modeling method

A non-linear dynamics, gear transmission technology, applied in special data processing applications, instruments, electrical and digital data processing, etc., can solve the problems of difficult time-varying mesh stiffness addition, small calculation amount, and large amount of calculation.

Inactive Publication Date: 2013-10-09
BEIJING UNIV OF TECH
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Problems solved by technology

In common multibody dynamics software, it is difficult to directly incorporate time-varying mesh stiffness into the gear system dynamics model
In order to reflect the time-varying meshing stiffness, in the existing solutions, such as modeling the gear pair as a flexible body, and then adding a flexible-flexible contact between the meshing teeth, this method can more accurately reflect the time-varying meshing stiffness. The impact of the system, but the disadvantage is that the calculation is large and the efficiency is low
There is also a pure rigid body model, which reflects the meshing relationship of the gear pair by defining the "gear kinematic pair" or adding rigid body-rigid body contact force. Although this method has a small amount of calculation, the meshing stiffness value is far from the theoretical value.

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  • Gear transmission system non-linear dynamics modeling method
  • Gear transmission system non-linear dynamics modeling method
  • Gear transmission system non-linear dynamics modeling method

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Embodiment Construction

[0020] Such as figure 1 Shown is a working flow chart of a gear transmission system nonlinear dynamics modeling method of the present invention. The specific implementation process is as follows:

[0021] (1) Determine the physical parameters and operating parameters of the gear transmission system as: the number of teeth of the driving gear and the driven gear Z 1 and Z 2 , mass m 1 and m 2 , moment of inertia I 1 and I 2 , input shaft torsional stiffness and torsional damping coefficient k p and c p , output shaft torsional stiffness and torsional damping coefficient k g and c g , the horizontal support stiffness and damping coefficient k of the bearing at the input end x1 and c x1 , vertical support stiffness and damping coefficient k y1 and c y1 , the horizontal support stiffness and damping coefficient k of the bearing at the output end x2 and c x2 , vertical support stiffness and damping coefficient k y2 and c y2 , the base circle radius R of the driving...

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Abstract

The invention relates to a gear transmission system non-linear dynamics modeling method. Based on the problems that time varying meshing stiffness and damping coefficients in a traditional gear transmission system dynamics model cannot be directly showed in general multi-body dynamics software, improvement is carried out on the gear transmission system non-linear dynamics model. The time varying meshing stiffness between gear pairs and the arousal effect on a system by damping are equivalent to the time varying meshing force and the time varying meshing torque at a driving gear barycenter and at a driven gear barycenter, and a function expression of the time varying meshing force with the time varying meshing stiffness and the damping coefficient as independent variables and a function expression of the time varying meshing torque with the time varying meshing stiffness and the damping coefficient as independent variables are given out. A gear transmission system non-linear dynamics model established through the method guarantees calculation precision and efficient calculation speed.

Description

technical field [0001] The invention belongs to the technical field of dynamic simulation of a gear transmission system, and in particular relates to a nonlinear dynamic modeling method of a gear transmission system. Background technique [0002] Gears are one of the most widely used and most prone to failure parts in mechanical transmission equipment. The time-varying mesh stiffness is one of the main dynamic excitation sources for the vibration response of the gear transmission system. In common multibody dynamics software, it is difficult to directly incorporate the time-varying mesh stiffness into the gear system dynamics model. In order to reflect the time-varying meshing stiffness, in the existing solutions, such as modeling the gear pair as a flexible body, and then adding a flexible-flexible contact between the meshing teeth, this method can more accurately reflect the time-varying meshing stiffness. The impact of the system, but the disadvantage is that the calcul...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 高立新张飞斌蔡力钢王锋刘傲徐海赵鑫雷涛涛
Owner BEIJING UNIV OF TECH
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