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Abstract: According to the principle of gear engagement and the modern theory of tribology, the constrained multi-objective optimization design mathematical model is established, taking minimum cotangent value of the included angle between instantaneous contact line direction on spiral bevel gear tooth surface with the relative sliding velocity, minimum transmission total volume, and minimum main value of the tooth surface induced curvature as the objective function. The current differential evolutionary multi-objective optimization algorithm is modified, the differential evolutionary constrained multi-objective optimization algorithm is provided. With the help of the modified differential evolutionary multi-objective optimization algorithm, two targets and three target optimization design of spiral bevel gear drive is done through the example. The influence of the included angle between instantaneous contact line direction on tooth surface with the relative sliding velocity and main value of the tooth surface induced curvature over the contact strength and adhesive strength of tooth surface is analyzed.#br# Key words: differential evolution; constrained multi-objective optimization; instantaneous contact line direction; relative sliding velocity; induced normal curvature
