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Method for analyzing torsional vibration inherent characteristic of planet gear transmission system

A planetary gear transmission, torsional vibration technology, applied in special data processing applications, instruments, electrical digital data processing, etc.

Active Publication Date: 2013-03-13
BEIHANG UNIV
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  • Description
  • Claims
  • Application Information

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Problems solved by technology

In the above studies, the gear meshing is regarded as a spring model, and the influence of damping is ignored, and the details are ignored, which is not completely consistent with the actual situation.
Another thing in common is that they are all analyzed for a specific structure and do not have universal applicability

Method used

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  • Method for analyzing torsional vibration inherent characteristic of planet gear transmission system
  • Method for analyzing torsional vibration inherent characteristic of planet gear transmission system
  • Method for analyzing torsional vibration inherent characteristic of planet gear transmission system

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Embodiment Construction

[0179] Below in conjunction with accompanying drawing, this method is further described:

[0180] See Figure 6 , a method for analyzing the inherent characteristics of torsional vibration of a planetary gear transmission system in the present invention, the specific steps of the method are as follows: Step 1: Applying the Lagrangian equation to mathematically model the pure torsional vibration of a single planetary row with damping;

[0181] See figure 1 , it is stipulated that the subscripts of the sun gear, planetary gear, ring gear and planetary carrier are s, p, r, c respectively, the subscript of the ith planetary gear is defined as pi, the rotation angle is θ, and the speed is Acceleration is The radius of each gear is R, J represents the moment of inertia, k and c represent stiffness and damping respectively, and the connection between the subscripts of k and c represents the stiffness and damping between components. alpha 1 is the angle between the displacement ...

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Abstract

A method for analyzing a torsional vibration inherent characteristic of a planet gear transmission system comprises the following four steps: (1) carrying out mathematical modeling on pure torsional vibration of a single planet row with damping by using an Lagrangian equation; (2) analyzing the inherent characteristic of the transmission system; (3) verifying the influence of the damping on a fixed frequency through multigroup calculation; and (4) establishing a general matrix for the planet gear transmission system and carrying out modeling simulation verification through instance value calculation and simulation X. Through the adoption of the invention, an obtained damped natural vibration differential equation in the form of a parameterized matrix (a rigidity matrix, a damping matrix and a connecting matrix) in the planet transmission system is general; corresponding matrix forms are directly selected for corresponding parts according to different connecting structures and planet gear system parameters to construct an integral system matrix; and after parameters are brought in, the inherent characteristic of the transmission system is rapidly and accurately analyzed.

Description

Technical field: [0001] The invention relates to a method for analyzing the inherent characteristics of torsional vibration of a planetary gear transmission system, which belongs to the technical field of mechanical transmission system vibration. Background technique: [0002] Velex and Flamand studied planetary gear dynamics using lumped parameter models, and Kahraman used planetary gear models to estimate natural frequencies, vibration modes, and dynamics. Wang Shiyu: Established a translation-torsion coupling model of 2K-H spur planetary gear transmission, and analyzed the inherent characteristics of planetary transmission. Wei Dasheng established a dynamic model of the multi-degree-of-freedom system, and used the Gill method to numerically integrate the differential equation of motion of the system to obtain the dynamic response of the system with stiffness excitation, and calculated the dynamic load between the teeth. In the above studies, the gear meshing is regarded ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 岳会军徐向阳刘艳芳韩笑郭伟
Owner BEIHANG UNIV
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