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摘 要：根据齿轮啮合原理和现代摩擦学理论，建立了以弧齿锥齿轮传动齿面上瞬时接触线方向与相对滑动速度之间夹角的余切值最小、传动总体积最小和齿面诱导法曲率主值最小为目标函数的约束多目标优化设计数学模型。对当前的微分进化多目标优化算法进行了改进，给出了适用于工程领域的微分进化约束多目标优化算法。借助于改进的微分进化多目标优化算法，通过范例对弧齿锥齿轮传动进行两目标和三目标优化设计。分析了齿面上瞬时接触线方向与相对滑动速度之间的夹角及齿面诱导法曲率主值对齿面接触强度和胶合强度的影响。#br# 关 键 词：微分进化；约束多目标优化；瞬时接触线方向；相对滑动速度；诱导法曲率
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
摘要： 根据齿轮啮合原理和现代摩擦学理论，建立了以弧齿锥齿轮传动齿面上瞬时接触线方向与相对滑动速度之间夹角的余切值最小、传动总体积最小和齿面诱导法曲率主值最小为目标函数的约束多目标优化设计数学模型。对当前的微分进化多目标优化算法进行了改进，给出了适用于工程领域的微分进化约束多目标优化算法。借助于改进的微分进化多目标优化算法，通过范例对弧齿锥齿轮传动进行两目标和三目标优化设计。分析了齿面上瞬时接触线方向与相对滑动速度之间的夹角及齿面诱导法曲率主值对齿面接触强度和胶合强度的影响。
