液体を充満せる球形フラスコの固有振動数の計算

抄録

For the purpose of irradiading high power ultrasonic waves into various liquids in 10-30kc range, a spherical flask is suitable for obtaining efficient results. Hence, we calculated the natural frequency of liquid-filled complete spherical shells. First, we calculated the kinetic and the potential energy in the liquid and the shell when they are vibrating at the same mode of axially symmetrical surface harmonics(zonal harmonics), and then determined the frequency equation from the conditions that the sum of the both energies is constant with respect to time and that the normal velocity is continuous at the boundary surface. Numerical example for glass flasks containg water is given in the present paper. The experimental results on actual flasks at 14. 2kc agreed with the theoretical result in rough approximation.