A solid horn is one of the key components of power ultrasonic longitudinal vibration system, and the most common horns are designed to allow the vibration travels along straight direction. However, some applications need to change the transmission direction of longitudinal vibration. The design method for angled ultrasonic longitudinal solid horns is investigated in this work. The frequency equation is established by using the continuity of displacement, force, bending moment and angle of rotation, as well as free boundary conditions at its two ends, and the method of calculation of displacement amplification factor is given. The resonant frequencies of some different fabricated angled solid horns consisted of two section bars are calculated by using the proposed frequency equation, and basically agree with the values by finite element method, and are validated by experiment with Vibpilot vibration test system. And then, connection these solid horns with a piezoelectric transducer with resonant frequency of 19.8 kHz, experimental comparison of the amplification factors and vibration modes of output port of the solid horns between the designed and fabricated angled horns validates the effectiveness of the design method. It shows that the longitudinal vibrations excited by transducer along the horizontal direction are successfully transferred to the output ports (in piston vibration) via the angled solid horns. Finally, the relationships between amplification factors of angled solid horns and their geometric dimensions are obtained through a lot of calculation.
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