砂带磨削静态接触理论建模与有限元仿真
Theory modeling and finite element simulation of belt grinding static contact

摘要 针对砂带表面磨粒与工件微观静态接触行为问题，提取了砂带表面形貌特征并重建，基于赫兹接触理论建立了包含打磨压力、压入深度、磨粒刃端曲率半径、攻角等参量的静态接触理论模型，研究了磨粒与工件表面接触区域和接触应力分布规律.通过有限元仿真对不同打磨压力下的接触应力、接触面积和压入深度进行了分析和模型验证.结果表明:在一定误差范围内仿真值与理论值吻合，验证了理论模型的正确性和有效性；磨粒与工件表面接触应力、接触面积和压入深度随打磨压力的增大而增大并于250 N时趋于稳定，同样接触磨粒数目逐渐增多并趋于稳定.
Abstract：The problem of the micro-static contact behavior between the abrasive grains and the workpiece, the surface features of the abrasive belt are collected and reconstructed. Based on the Hertzian contact theory, a theoretical model involving parameters of grinding pressure, indentation depth, grains’ lip-end curvature radius and attack angle is established to illustrate the static contact behavior. The distribution rule of the contact area and the contact stress between the abrasive grains and the workpiece surface is obtained. Then, the finite element simulation is conducted to validate the theoretical model through analyzing contact stress, contact area and indentation depth under different grinding pressure. The results show that the simulated values are in good agreement with the theoretical values within a limited error range, which prove the correctness and the validity of the theoretical model. It can be seen that the contact stress, the contact area and the indentation depth increase along with the growth of grinding pressure and become stable when it reaches 250 N. Meanwhile, the number of contact abrasive grains also gradually increases and stabilizes.