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Rough surface-based three-dimensional contact stiffness calculation method for spur gear

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

Active Publication Date: 2017-06-13
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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  • Rough surface-based three-dimensional contact stiffness calculation method for spur gear
  • Rough surface-based three-dimensional contact stiffness calculation method for spur gear
  • Rough surface-based three-dimensional contact stiffness calculation method for spur gear

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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 2 mm. Therefore, it can be obtained that the contact...

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Abstract

The invention discloses a rough surface-based three-dimensional contact stiffness calculation method for a spur gear. The method comprises the steps of firstly by adopting hexahedral mesh generation, requiring all square meshes on a tooth surface to be equal in area; calculating contact pressure distribution of the smooth tooth surface based on a finite element method, and extracting node pressure intensity of a contact region; calculating normal contact stiffness and tangential contact stiffness of a single square mesh based on a fractal theory; and calculating the contact stiffness of the tooth surface. According to the method, the precision of a gear contact stiffness calculation model is further improved; the defect of smooth contact according to a Hertz theory in an original calculation process is overcome; an influence law of a roughness parameter on a gear stiffness characteristic in a rough tooth surface contact process and a calculation method are disclosed; and meanwhile, a finite element-based three-dimensional contact stiffness calculation model is more accurate than an original two-dimensional calculation model or calculation formula, and the influence of errors in actual assembling and manufacturing processes of the gear is considered, so that the gear contact stiffness is more accurate and a foundation is laid for gear dynamics analysis.

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