With the development of machinery industry, the gear transmission with compact structure, long life and suitable for heavy load and high speed is more and more widely used. There is still a big gap between our country’s gear transmission products and foreign advanced level. Generally speaking, the gears produced by some domestic manufacturers have poor quality, short service life, low bearing capacity and high noise. For example, the gears in automobiles, machine tools and other equipment generally do not meet the national standards; The service life of gears is only 1 / 3-1 / 2 of that of foreign products. Therefore, in order to meet the development of machinery in the direction of high speed, heavy load, low noise and high efficiency, it is of great theoretical significance and application value to carry out gear meshing principle and tooth loaded contact analysis (LTCA) considering elastic error.

At present, tooth loaded contact analysis (LTCA) has become an important gear design technology, that is, before the trial production of gear products, high-precision computer simulation of the gear meshing process under load is carried out to obtain the working performance of the designed gear under the pseudo real working conditions. It is of great significance to shorten trial production period, reduce trial production cost and design high quality gear products. The key of gear meshing analysis is to reveal the meshing mechanism of gear pair in loading transmission, and comprehensively analyze the influence of various kinds of deformation in gear pair on its meshing performance.

Now, the tooth loaded contact analysis (LTCA) has attracted extensive attention at home and abroad. It is a bridge connecting geometric design and mechanical analysis in the field of gear research. It plays a key role in the research of all kinds of gears, especially in the design, analysis and manufacture of spiral bevel gears.