柔軟はりの音響パワーマトリクスとパワーモードについて

概要

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Extraction of the power modes describing the total acoustic power radiating from a vibrating structure involves calculation of the acoustic power matrix, described by an integral whose integrand contains a sink function. The eigenvectors of this matrix then provide a modal transformation by which the power modes are defined. In the case of a simply-supported Euler-Bernoulli beam a coordinate substitution is constructed which transforms the integral to a simpler expression representable in terms of the special "sine and cosine integrals". The integral may thus be evaluated easily using the well known functions, thereby providing deep insight into the fundamental characteristics of the power modes. It is found that, at low frequencies, all entries of the acoustic power matrix contribute to the total acoustic power. At high frequencies, however, the acoustic power matrix converges to a unit matrix, and hence the power modes are liable to possess the same properties with conventional vibration modes.
一般社団法人日本機械学会の論文
2000-08-25