A beat traveling wave principle which combines beat vibration with a traveling wave is proposed. Based on the traveling wave principle and the beat vibration theory, a mathematical model is established to analyze the operation law of the beat traveling wave. Theoretical analyses and numerical simulations are used to study the amplitude variation of the beat traveling wave. Then, a spatial–temporal partial derivative method is developed to study the changing law of the beat traveling wave propagation direction. The research shows that the beat traveling wave is a waveform with periodic variation of both amplitude and propagation directions. An ultrasonic motor, as a potential application field of the beat wave traveling, is investigated deeply during the research. As a driving principle, the beat wave traveling can efficiently and conveniently realize the continuous reciprocating operation on ultrasonic motors. The beat traveling wave principle and its applicability are verified by finite element simulations and experiments. Meanwhile, a good prospect of its application is also given in this study.

提出了一种将拍子振动与行波结合起来的拍子行波原理。基于行波原理和节拍振动理论，建立了一个数学模型来分析节拍行波的运行规律。理论分析和数值模拟用于研究拍频行波的振幅变化。然后，发展了一种时空偏导数方法来研究差拍行波传播方向的变化规律。研究表明，拍频行波是振幅和传播方向都周期性变化的波形。在研究过程中，对超声波马达作为拍频传播的潜在应用领域进行了深入研究。作为驱动原则 拍频行进可以有效，方便地实现超声波马达的连续往复运动。通过有限元模拟和实验验证了拍频行波原理及其适用性。同时，本研究也为其应用提供了良好的前景。