Emphasis is placed on the mechanical elastic energy principle and the Mohr integral method to derive and analyze the deformation stress state and its properties of the key component flex wheel in harmonic gear transmission under the infinite cyclic alternating cyclic stress. Harmonic transmission has emerged over the past three decades with the development of cutting-edge technology in space science. The principle of harmonic transmission is different from the traditional gear transmission based on rigid body mechanics. It is a new type of transmission based on the theory of thin shell elastic deformation. Its emergence is considered an important breakthrough in mechanical transmission. It is conceived in planetary transmissions and has a unique engagement with planetary transmissions. It replaces the traditional rigid gearless meshing and output transmission with a flexible multi-tooth meshing rigid output. Therefore, this new transmission principle and structural form has just come out, which has attracted the attention and attention of many experts at home and abroad. Since the flexible wheel works in a deformed state, its stress state is a three-dimensional space problem, and analysis and calculation are extremely complicated and cumbersome, and some problems have not been solved so far. Through practice and application proof, the complex spatial stress state is simplified to the plane stress state for analysis and research. On the basis of experiments, considering sufficient safety factor, simplifying theoretical calculation, and accelerating the promotion and application of this new technology Very good social and economic benefits. Harmonic drives come in a variety of forms such as harmonic gear harmonic friction and harmonic screw drives. The input end is powered by a wave generator that forces the thin flexible wheel to deform, engages the rigid wheel and effects the output of the transmission with periodic symmetrical mechanical waves. The transmission has a smooth and noise-free carrying capacity, and the volume is small, the speed of the light weight line is low, and the transmission efficiency is high. The comprehensive precision of the transmission is high. Therefore, the radial pressure of the flexible wheel can be derived according to the output torque of the mechanism. Since the flexible wheel works under an infinite number of asymmetric stress cycles, the value of the force of the first-stage main harmonic gear transmission and the soft wheel of the allowable fatigue stress of the material should be very cautious. The impact of factors. Therefore, a reasonable safety factor is determined. The commonly used method for checking fatigue strength is that the safety factor method and the allowable stress method use the safety factor method to check the fatigue.
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