Probabilistic Superposition of Energy Modes for Treating $2N$-Layered Mechanical Impedance Mismatch System
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概要
- 論文の詳細を見る
A piezoelectric transducer with $2N$ $(N=1,2,3,\ldots)$ mechanical impedance mismatch layers is systematically analyzed by considering $2N$ energy modes or complex dynamical variables on the circuit structure representing the $2N$-layered system and by preparing matrices representing energy propagation and energy exchange along probabilistic paths that are considered in a spatially alternating manner for odd-th and even-th spatial energy modes. The superposition of these energy modes, which is expressed with the infinite geometric series of a matrix or Neumann series, provides the resonance frequency and resonance intensity of the system. Each of the $2N$ modes is interpreted as a "local" energy mode, and their sum simply provides the total characteristics of the system. By adopting $2N=2,4,8,16,\ldots$ mathematically, multiresolution analysis can be applied for the system with a spatially inhomogeneous structure.
- Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
- 2006-05-30
著者
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Ohki Michio
School Of Applied Sciences National Defense Academy
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Ohki Michio
School of Applied Sciences, National Defense Academy, Yokosuka, Kanagawa 239-8686, Japan
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