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中国物理学会期刊

输出可调三轴正交同相振动方向变换器

Output adjustable three-axis orthogonal in-phase vibration direction converter

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  • 三维正交振动方向变换器集功率合成和三维声辐射为一体的超声振动系统,在功率超声技术领域具有重要应用价值。目前关于三维振动方向变换器的解析设计理论主要是基于复杂的波动方程法,对其振动特性的研究也聚焦于对称结构的三维振动方向变换器。为此,本文基于一维纵向振动理论、表观弹性法及力电类比原理,建立了三维正交振动方向变换器三维耦合振动的简明等效电路模型,设计了多个不同横向和纵向尺寸的变换器,通过有限元仿真与实验测试对其振动性能进行分析。结果表明,变换器某一方向的横向或纵向尺寸减小时,对应于该方向细棒的等效质量减小,同相共振下该方向输出端位移幅值增大;反之,增加变换器某一方向的尺寸则该方向的等效质量增加,使其该方向的位移幅值减小。由此可知,通过调节变换器各方向的横向或纵向尺寸,可灵活调控各输出端的振动位移幅值,从而满足多样化超声应用需求。理论计算结果与有限元仿真和实验测试结果一致,该等效电路模型为三维正交振动方向变换器的工程设计与优化提供了简明的设计理论。

     

    The three-dimensional orthogonal vibration direction converter is an ultrasonic vibration system integrating power synthesis and three-dimensional acoustic radiation, which has important application value in the field of power ultrasonic technology. At present, the analytical design theory of three-dimensional vibration direction converter is mainly based on the complex wave equation method, and the research on its vibration characteristics also focuses on the three-dimensional vibration direction converter with symmetrical structure. Therefore, based on the one-dimensional longitudinal vibration theory, the apparent elasticity method and the electromechanical analogy principle, this paper establishes a concise equivalent circuit model for the three-dimensional coupled vibration of a three-dimensional orthogonal vibration direction converter (The equivalent circuit of the output-adjustable three-axis quadrature in-phase vibration direction converter is shown in Fig.4.). Several converters with different lateral and longitudinal dimensions are designed, and their vibration performance is analyzed by finite element simulation and experimental test. The results show that when the transverse or longitudinal size of the converter in a certain direction decreases, the equivalent mass of the bar in this direction decreases, and the displacement amplitude of the output end in this direction increases under in-phase resonance. On the contrary, increasing the size of the converter in a certain direction will increase the equivalent mass in that direction and reduce the displacement amplitude in that direction. It can be seen that by adjusting the transverse or longitudinal dimensions of the converter, the vibration displacement amplitude of each output end can be flexibly adjusted to meet the needs of diversified ultrasonic applications. (The in-phase vibration modes of the 1 # and 2 # experimental sample converters are shown in Fig.10). The theoretical calculation results are consistent with the finite element simulation and experimental test results. The equivalent circuit model provides a concise design theory for the engineering design and optimization of three-dimensional orthogonal vibration direction converter.

     

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