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Abstract：
Longitudinal-torsional composite ultrasonic vibration has been widely used in grinding. This paper aims to solve the problem that the resonance frequency deviates greatly from the theoretical design frequency and the vibration mode is poor when the horn is matched with a larger tool head. This paper presents how the longitudinal-torsional composite ultrasonic conical transition horn was designed and optimized by the transfer matrix theory and finite element simulation. For this purpose, the spiral groove parameters were optimized and selected by finite element simulation. Then, the modal analysis and transient dynamic analysis of the horn with grinding wheel were carried out to verify the correctness of the theoretical calculation. The impedance analysis and amplitude test of the horn with grinding wheel were carried out. The test results were in very good agreement with the theoretical and simulation results. Finally, the grinding experiment was carried out. The surface roughness of the workpiece in longitudinal-torsional ultrasonic vibration grinding was obviously reduced compared to that of ordinary grinding. All these obtained results demonstrate that the designed longitudinal-torsional composite ultrasonic horn has very good operational performance for practical applications.
摘要：
纵扭转复合超声振动在磨削加工中得到了广泛的应用。本文旨在解决变幅杆与较大的工具头匹配时，共振频率与理论设计频率偏差较大，振动模式较差的问题。本文介绍了如何通过传递矩阵理论和有限元仿真来设计和优化纵向-扭转复合超声锥形过渡变幅杆。为此,通过有限元模拟对螺旋槽参数进行优化选择。然后，对带砂轮的喇叭进行了模态分析和瞬态动力学分析,验证了理论计算的正确性。对带有砂轮的喇叭进行了阻抗分析和振幅测试。试验结果与理论和仿真结果吻合较好。最后,进行了研磨实验。与普通磨削相比,纵扭转超声振动磨削工件的表面粗糙度明显降低。所有这些获得的结果表明，所设计的纵向扭转复合超声变幅杆具有非常好的实际应用性能。
