分布している音源からの放射音場

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In this paper, the acoustic sources considered are velocity sources and pressure sources. The acoustic fundamental equations in the presence of a distribution of these sources are div u= -(1/κ)ap/at +q and grad p= -pau/at+a, where p is the pressure, u is the velocity vector of particle, t is the time, p is the density of medium, and 1; is the coeffcient of elasticity. The function q(1/sec), which has been called the density of sources, is especially called the density of velocity sources in this paper. The new function a(N/m^3) is called the density of pressure sources. The radiation field by a is identical with the field caused by the density of doublet Sources b which is equal to (1/j")p)a for the harmonic motion with angular frequency ", . The presence of a layer of velocity sources on surface results in the discontinuity of the normal component of u, and the presence of a layer of pressure sources on surface results in the discontinuity of pressure. By these boundary conditions and equivalence principle, the field exterior to a closed surface is obtained, and this field is identical with the field computed from Kirchhoff's formula. The solutions by the method of auxiliary sources are also identical with the solutions mentioned above.
社団法人日本音響学会の論文
1968-05-30