轮齿连续啮合动力学仿真与实验
Dynamic Simulation and Experiment of Continuous Meshing of Muti-teeth

为获得多对轮齿连续啮合接触力动态特性，将齿轮分解为沿圆周方向转动的柔性轮齿和刚性齿轮本体。基于轮齿真实变形机理，以弹性单元连接轮齿和齿轮本体，采用Lankarani & Nikravesh接触力计算模型和Kuhn-Tucker单边约束方程建立了多对轮齿连续啮合的动力学模型。算例分析表明，单对轮齿啮合区内的轮齿接触力与机械设计方法的分析结果吻合较好，而轮齿啮入冲击接触力计算结果则通过搭建实验装置进行了间接验证。数值计算和实验表明：建立的轮齿啮合动力学模型能够反映轮齿的运动学接触和动力学接触特征，可用于齿轮传动系统的动力学分析。
To obtain dynamic characteristics for contact forces during continuous meshing of multi-teeth, a dynamic model of meshing muti-teeth is built as follows: a gear is divided into a rigid gear wheel body and circumferentially rotatable flexible teeth; the elastic elements composed of rotational spring-damper combinations are used to connect them based on the deflection mechanism of real teeth; a complaint contact force model called Lankarani & Nikravesh model and Kuhn-Tucker constraint equations are utilized to realize the meshing. The example shows that calculated contact force in meshing region is in good agreement with that obtained with machine design method. The calculated meshing impact is verified through a gear impact test. The results of numerical computation and experiment indicate that the model can reflect the characteristics of tooth kinematics contact and kinetics contact and it is suitable for modeling gear drive systems