A method for analyzing the tooth surface contact of spiral bevel gears

Abstract

The invention discloses a contact analysis method for the tooth surface of a spiral bevel gear. The large wheel is used as a hypothetical gear cutter to generate the reference tooth surface of the small wheel. According to the processing parameters of the small wheel and the initial position of the linear blade, the working tooth surface and the The boundary line of the transition surface is used to find the minimum and maximum processing angles of the large wheel within the range of the working tooth surface, and further calculate the coordinates of the reference tooth surface of the small wheel and the tooth surface of the small wheel corresponding to the instantaneous contact line, and obtain the two tooth surfaces The gap between them is taken as the contact point with the smallest gap on the instantaneous contact line. When the gap is less than 0.00635mm, it is an effective contact point, and an approximate contact trace is obtained. Convert the minimum gap of all contact points into angular units to obtain an approximate transmission. error. According to different geometric conditions, it can be divided into edge contact and normal contact. The result of this approximation method is very close to the traditional theoretical method, which can meet the engineering requirements.

Description

technical field [0001] The invention belongs to the technical field of gear transmission, and in particular relates to a method for analyzing the tooth surface contact of a spiral bevel gear. Background technique [0002] Tooth surface contact analysis is to simulate the contact area and transmission error formed by the gear pair during the meshing process with the help of computer programs. It can comprehensively evaluate the meshing quality before gear processing. Significance. In general, tooth surface contact analysis is not applicable for fully conjugated line contact gear pairs, only for mismatched point contact gear pairs. The traditional tooth surface contact analysis is to obtain the contact point and its tooth surface contact parameters according to the continuous tangency condition of the two meshing tooth surfaces. The difficulty is to determine the contact point position and the contact ellipse parameters. For spiral bevel gears with complex tooth surfaces, th...

AI Technical Summary

Problems solved by technology

For spiral bevel gears with complex tooth surfaces, there are two main problems in this technology: (1) In order to obtain the contact point position, at least 5 nonlinear equations need to be solved, which puts higher requirements on the solution algorithm and initial value selection ; If the selection is not appropriate, the solution of the equations will not converge or the calculation results will be meaningless, further considering the influence of the installation error, the solution of the equations will be very difficult

(2) When calculating the size and direction of the major axis of the contact ellipse, it is necessary to use complex differential geometry formulas to determine the main curvature and main direction of the tooth surface, which can only be mastered by professional and technical personnel; if the three-parameter envelope tooth surface is considered, the differential Geometry appears impotent

Images