固有振動モードに着目した機械振動の複雑さとその尺度

概要

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A new concept based on K=UH, a product of total mechanical energy U and entropy H as employed in our recent papers, has been introduced in this paper. This is done because the entropy of vibration by our definition is unsuitable for demonstrating complexity when comparing vibrations with remarkably different total energies. To consider general properties associated with vibrational complexity, including sound fields, the authors discuss two damped vibrating systems using H and K calculated from normal modes. One system has reactions directly proportional to its velocity, the other energy dissipation due to internal friction. Especially in the latter, the basic assumptions in the S. E. A. method are examined for rectangular plates. Subsequnetly, both H and K are shown to have certain properties for excitations in which driving frequencies are outside the frequency regions of normal modes yeilding dominant contributions. K is generally sensitive compared to H, particularly with any dynamically changing total energy, and able to express the megnitude of U and information on modal distribution of energy. Application of H and K to the S. E. A. method would supplement its theoretical foundations.
社団法人日本音響学会の論文
1984-09-01