一种锥形定位节面变幅杆结构优化设计研究

为提高变幅杆的振动传递及振幅输出特性,基于解析法设计了具有锥形定位节面结构的旋转超声加工变幅杆,通过预应力模态分析与谐响应分析进行了优化设计;通过响应面优化方法建立27个优化设计点,分别以放大系数最大化、最大等效应力最小化与谐振频率最接近理论设计频率为第一、第二与第三优化目标,并提出一种5阶模态频响曲面验证方法,通过(2~6)阶5个模态频响曲面分析结果对优化设计点的最优优化解进行验证。研究表明,基于该研究提出的方法,结构优化设计后的变幅杆能够提高放大系数,降低最大等效应力,并使谐振频率接近理论设计频率,提高超声加工的能量利用率。对旋转超声加工装备的性能研究与开发具有一定的指导意义。

Structural optimization design of a horn with a tapered locating nodal surface

In order to improve its vibration transmission and amplitude output characteristics,a horn for rotary ultrasonic machining with a tapered locating nodal surface was designed based on the analytical method,and optimized by the prestress modal analysis and harmonic response analysis.27 optimization design points were established making use of the response surface optimization method.The first,second and third optimization objectives are maximizing the amplification factor,minimizing the maximum equivalent stress and closing the resonant frequency to the theoretical design frequency,respectively.A 5-order modal frequency response surface validation method was proposed,and the optimal solution of the optimal design points was verified by the results of(2—6)order 5-mode frequency response surface analysis.The results show that,based on the proposed method,the optimized horn can improve the amplification coefficient,reduce the maximum equivalent stress,make the resonant frequency close to the theoretical design frequency,and improve the energy efficiency of ultrasonic machining.It has a certain guiding significance for the research and development of the performance of rotary ultrasonic machining equipments.