# Contact problem of automobile spur gear with concave bionic shape

The two-dimensional contact finite element analysis of spur gear meshing can only reflect the change of spur gear contact stress from the plane angle. In order to understand the change of spur gear contact stress in space more clearly and intuitively, it is necessary to carry out three-dimensional numerical simulation of spur gear. The three-dimensional contact model of spur gear is established by using CATIA advanced drawing software; It is imported into the finite element analysis software ANSYS to carry out the finite element comparative analysis of the contact problem between the concave bionic shape automobile spur gear and the smooth spur gear under the condition of no lubrication.

The three-dimensional contact numerical simulation of smooth and concave bionic spur gears is carried out by using the finite element analysis software ANSYS, and the comparative analysis of contact equivalent stress and contact stress is carried out.

Using the advanced surface modeling function of CATIA, the three-dimensional contact solid models of large and small gears are established, the solid model is imported into ANSYS, a certain pit bionic shape is generated in the contact area of spur gear contact surface by Boolean operation, and the three-dimensional finite element analysis models of smooth and pit spur gears are established respectively; The contact type is defined as face-to-face contact, using two-dimensional target element targe170 and two-dimensional contact element conta174; The three-dimensional contact numerical simulation of smooth and concave bionic spur gears is carried out.

Using the graphics display function of ANSYS general post processor, the equivalent stress and contact stress distribution nephogram of three-dimensional contact of smooth spur gear are obtained, and the stress variation in the contact area is analyzed; Using the same method, the equivalent stress and contact stress distribution nephogram of three-dimensional contact of concave spur gear are obtained, and the equivalent stress of concave spur gear and smooth spur gear is compared and analyzed; The equivalent stress in the contact area of large and small gears is compared and analyzed separately; The maximum values of equivalent stress and contact stress appear at the contact position between the top of the big gear and the root of the small gear. Although the peak value of equivalent stress in the contact of the concave spur gear is greater than that of the smooth spur gear, the contact stress in the contact surface area of the concave spur gear is significantly less than that of the smooth spur gear.

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