Study on Resonator with Directional Converter : R-L Type Converter

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  • Itoh Katsuhiko
    Research Laboratory of Precision Machinery and Electronics,Tokyo Institute of Technology
  • Mori Eiji
    Research Laboratory of Precision Machinery and Electronics,Tokyo Institute of Technology

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Other Title
  • 振動方向変換体の研究 : R-L形変換体
  • 振動方向変換体の研究
  • シンドウ ホウコウ ヘンカンタイ ノ ケンキュウ

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Abstract

In the application of longitudinal vibration, a conventionally vibrational system is almost of one-dimensional construction such as a solid horn. In this case high vibrational energy could not be available because of the radial coupling of the vibration. The authors believe that it may be more convenient if ultrasonic energy can be transmitted from the driver to any directions, and can be concentrated additively by parallel operation of drivers, and further can be divided among plural loads from single vibrational source. From this point of view, the authors have devised the resonator with directional converters of three basic types, the two of which(called L-L and L-L-L Types converters)were reported previously. This paper deals with the directional converter(called R-L type converter)in which one radial vibration disk and one longitudinal vibration bar are mutually connected three-dimensionally at their node part of vibration(as shown in Fig. 4). In this type, the stress or strain of longitudinal or radial vibration is maximum at the coupling, and it has two fundamental resonant frequencies(as shown in Table1), one being the in-phase-mode, the other the anti-phase-mode(as shown in Fig. 3). As in the case of the converter, each single disk as well as single bar has two fundamental resonant frequencies of the in-phase-mode and anti-phase-mode(as shown in Table2 and 3). In all cases, the resonant frequencies of the in-phase-mode are higher than that of the anti-phase-mode. The authors have analyzed the converter by making some assumptions and by defining equivalent elastic modula of coupling part to each axis(as shown in Table4, equations(3〜6))from these vibrational characteristics and obtained the equations(10〜14)to design, and also we designed, produced and measured the new converter. The results of the measurements agreed within two percents with the designed resonant frequency(as shown in Fig. 10, 11), with the calculated value of viblational velocity ratio(as shown in Fig. 13, 14), and with the calculated distribution curves of vibrational velocity along each axis(as shown in Fig. 12). From this result, it was found that these equations are satisfactory to indicate these vibrational characteristics of the converters.

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