Calculation Method of 3D Contact Stiffness of Spur Gear Based on Rough Surface

A technology of contact stiffness and rough surface, which is applied in the field of calculation of three-dimensional contact stiffness of spur gears, can solve problems such as the inability to accurately simulate the deformation of the rough surface contact state of gear teeth

Active Publication Date: 2018-03-30
BEIJING UNIV OF TECH
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Problems solved by technology

The calculation of the contact stiffness is derived based on the Hertzian contact theory based on smooth surfaces, so it cannot accurately simulate the deformation of the actual gear tooth rough surface contact state

Method used

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  • Calculation Method of 3D Contact Stiffness of Spur Gear Based on Rough Surface
  • Calculation Method of 3D Contact Stiffness of Spur Gear Based on Rough Surface
  • Calculation Method of 3D Contact Stiffness of Spur Gear Based on Rough Surface

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Embodiment Construction

[0071] Attached below Figure 1-3 And embodiment further illustrate the present invention.

[0072] A method for calculating the three-dimensional contact stiffness of spur gears based on a rough surface, comprising the following steps:

[0073] 1) For the specific grid division of the gear pair, the area of ​​each grid is required to be A 0 equal;

[0074] 2) Calculate the contact pressure distribution on the smooth tooth surface based on the finite element method, and extract the node pressure P in the contact area i ;

[0075] 3) Calculate the normal contact stiffness K of a single square grid based on fractal theory N , the tangential contact stiffness K T ;

[0076] 4) Calculate the contact stiffness K of the tooth surface.

[0077] Described step 1) specifically comprises the following steps:

[0078] The gear pair is divided into hexahedral grids, and the side length of the hexahedral grid is constrained to be 2mm. Therefore, it can be obtained that the contact ...

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Abstract

A rough surface-based three-dimensional contact stiffness calculation method for a spur gear. The method comprises: carrying out hexa meshing under the requirement that all square meshes on a tooth surface are equal in area; calculating contact pressure distribution of a smooth tooth surface on the basis of a finite element method, and extracting the pressure of a node in a contact region; calculating normal contact stiffness and tangential contact stiffness of a single square mesh on the basis of a fractal theory; and calculating the contact stiffness of the tooth surface. The method further improves the precision of a gear contact stiffness calculation model, overcomes the defect of smooth contact based on a Hertz theory in a previous calculation process, and reveals the influence rule of a roughness parameter on a stiffness characteristic of a gear in the process of contact of rough tooth surfaces and a calculation method. Moreover, the finite element-based three-dimensional contact stiffness calculation model is more accurate than a previous two-dimensional calculation model or calculation formula. In addition, the influence of errors in actual assembling and manufacturing processes of a gear is considered, so that the contact stiffness of the gear is more accurate, and a foundation is laid for dynamics analysis of the gear.

Description

technical field [0001] The invention belongs to the field of mechanical analysis and dynamics research of gears, and in particular relates to a calculation method for three-dimensional contact stiffness of spur gears based on rough surfaces. Background technique [0002] The internal excitation of the gear pair is generated inside the system during the meshing process of the gear pair, and it is also an important and difficult point in the study of gear system dynamics. The internal excitation of the gear system is mainly divided into three types: time-varying stiffness excitation, time-varying error excitation and meshing impact excitation. The time-varying stiffness excitation is mainly composed of three parts: the bending stiffness, shear stiffness and contact stiffness of the gear teeth. At present, the IOS6336 meshing stiffness calculation formula is widely used and the stiffness excitation of the gear is equivalent to the Fourier expansion. The calculation of the cont...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
CPCG06F30/17G06F30/23
Inventor 刘志峰张涛赵永胜毕舒心
Owner BEIJING UNIV OF TECH
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