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Software research on the bending fatigue strength of helical gears is feasible. Bending fatigue strength; bending stress; finite element analysis; the TH13 helical gear in the finite element model is compact and has a large torque transmission capability. It is a relatively complicated type of gear transmission and is widely used in ships, automobiles, aviation, In many industries such as power and construction machinery, its performance has a crucial impact on the entire transmission system. At present, the research on helical gears in China still has certain risks if the data provided by national standards are still used. Therefore, it is necessary to study the fatigue strength of domestic helical gears. Bending fatigue strength of helical gears During the gear meshing transmission process, the dangerous section of the gear root is subjected to bending stress, compressive stress and shear stress. The dominant stress is that the stress at the dangerous section of the root should be the bending tensile stress. And the synthesis of residual compressive stress, as shown in Figure 1.
The bending of the teeth is broken. The strength limit of bending fatigue, the teeth are broken. The effect of the root transition form on the bending strength of the teeth. In the machinery industry, a large number of involute gears are used to transmit motion and power, and the working life of the gear is related to its bending fatigue strength, and it is important to decide to improve. The working life of the gear is inversely proportional to the n(n6) power of the maximum bending stress value, that is, the bending stress is slightly reduced, and the working life of the gear can be greatly extended. At the root transition curve, the shape is abrupt and stress concentration will occur. Therefore, the maximum bending stress of the involute gear always occurs at the root transition curve, which directly affects the gear life. The maximum root bending stress value has a great relationship with the shape of the root transition curve and its differential properties. The bending fatigue test of the gear was carried out, and the data of the bending fatigue strength of the test gear was obtained. The helical gear test piece provided by the metallurgical machinery factory was used to test the gear bending fatigue. The test was pre-selected with a two-tooth pulsation loading method. The tested gears were randomly drawn from all of the test gears and ensured that the test teeth of the same stress level came from the respective gears. In the short-lived area, the life of 48 gear tests corresponding to each stress level is obtained by four levels to fit the slope equation of the fatigue curve; the stress rise and fall method is used in the long-life area to determine the horizontal section equation of the fatigue curve, thereby Obtain a complete gear bending fatigue curve.
In the test, the double-tooth loading test was used, and when one of the teeth failed (the number of stress cycles when the tooth of the test machine was abrupt due to broken teeth or tooth crack propagation) was the failure life, the test was stopped. For non-failed teeth, this lifetime is the discontinuation test data. In this way, the numerical value distribution can be used to derive the failure density function of each stress level Si, which is convenient for obtaining the relationship between the stress Si and the lifetime Ni under different reliability R. In order to make full use of the test information, the average order method is used in the data processing to test the life distribution. Analysis of test data using MATLAB software MATLAB is a scientific calculation software that processes data in the form of a matrix. The test data was analyzed using MATLAB software. MATLAB language features MATLAB is a large-scale mathematical computing application software system developed by MathWorks Company of the United States. It provides powerful matrix processing and drawing functions, is easy to use, has high credibility and flexibility, and is therefore scientifically worked worldwide. It is widely used by engineers, engineers, college students and graduate students, and has become the leading software for scientific research and engineering applications in the international market. Mastering MATLAB and using it to solve theoretical and applied problems has become a skill that every scientific research and engineering technician should possess. MATLAB brings the most intuitive and concise program development environment to users.
The basic function library of MATLAB system has elementary functions, elementary matrix and matrix transformation, including linear algebra such as linear algebraic equations and matrix eigenvalue problems, polynomial operations and root finding, data analysis and Fourier transform, and some special matrix functions. Mathematical functions and many other things. In addition, MATLAB has two-dimensional, three-dimensional curve and three-dimensional surface drawing functions, which is very convenient to use. Using MATLAB software to analyze test data MATLAB provides complete data analysis and visualization capabilities, directly importing data into the MATLAB workspace through the toolbox, and using MATLAB's powerful and flexible means for fast and accurate data analysis. This includes the use of advanced math and visual analysis capabilities provided by MATLAB for data analysis, analysis, and visualization during or after data acquisition. Using the powerful functions of MATLAB software, the experimental data are analyzed. The main analytical methods are logarithmic analysis, lognormal analysis, two-parameter analysis, three-parameter analysis, and analysis of these analysis methods. The data is linearly fitted by least squares in double logarithmic coordinates using MATLAB in MATLAB, and the RSN fatigue curves with different reliability and different confidence are obtained. Among them, because MATLAB provides a large number of built-in functions, the analysis of test data is more convenient and more accurate.