简明设计复合扭振变幅杆

传统设计复合扭振变幅杆的方法是利用各形状函数杆之间的角位移连续和力矩连续的边界条件，来确定方程中的待定系数，导出频率方程。本文利用各形状函数分界之间机械阻抗相等的方法来设计复合扭振变幅杆。可简化设计，物理意义明显。这种方法也适用于纵振复合变幅杆的设计。

Simplified design method for a compound torsional vibrating horn

The conventional method for designing compound torsional vibrating horm, is that the undetermined coefficient is solved and the frequency equation is derived by use of equal angular displacements and equal force moments in each interface of partial shape function horn. In this paper, the boundary conditions is substituted with equal mechanical impedances in each interface of partial shape function horn. This method can simplify design, and its physical meaning is obvious. It can likewise be applied to designing compound lognitudinal vibrating horn.