機械的振動体の駆動点機械インピーダンスについて
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概要
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The mechanical driving-point impedance which explains the characteristics of the steady-state of mechanical vibrators is to be dealt with in this paper. When a mechanical vibrator is driven by a force changing sinusoidally with time, the driving point impedance will be defined by the ratio of the total force to the average velocity. If the equation of motion, which deals with the displacement of the steady-state of the vibrator concerned driven by a concentrated force, be solved and the solution of this condition be obtained, then the driving-point impedance would formally be calculated by such definition. But this result sometimes gives an incorrect value, for the solution with regard to a point source (Green's function or tensor on the problem) may have some singularities at the neighborhood of its source point. The behaviors of the solutions at the neighborhood of the source points, and singularities of the driving point-impedances were considered in connection with miscellaneous vibrators, for instance, streched strings, bars vibrating longitudinally, torsionally or laterally, stretched membranes, thin plates, stretched thin plates, etc. All of these solutions are continuous functions and driving-point impedances have not any singularity except for the case of stretched membranes. But if we consider the case of the vibrator of an isotropic and elastic material, the driving-point impedance of such a vibrator with a point sourceterminals or a line or curve source terminals has serious singularities because of those of the Green's tensor of elastic waves at its source point, and its value will be equal to zero.
- 信州大学工学部の論文
- 1956-12-00
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