亜鈴状またはテーパー状共振子を有するランジバン形振動子の動作ならびに設計普遍図表

抄録

This report is concerned with the analysis of the performance of Langevin type transducer with end metals, which have stepped or linearly tapered variation on cross sectional area perpendicular to direction of vibration. The analysis was made by the assumption that only plane wave exists along the direction of length in these transducers, and consequently by analogy of the four terminal transmission network theory. As result of this analysis, it was clarified that the equations of resonant condition in these transducers, and the mathematical expressions of equivalent lumped constants, force factor and stress distribution along the direction of length at resonance, could be acquired in simple forms. Thus a method of design of these transducers was obtained. Furthermore, on basis of the above mentioned solutions, the universal design charts for the transducer with the stepped end metals were drawn. These charts can be also applied to the transducer with the linearly tapered end metals where the slopes of tapers are gentle.