Abstract
A stretched circular diaphragm, which is not only under a permanent tensile stress but also with some bending stiffness due to its elastic characters, is treated. When the diaphragm is not so tightly stretched, we can not neglect the effects of the bending stiffness on the acoustical characteristics. The purpose of the present study is to approach these points. An expression of the total energy taking account of these effects is obtained. And from this results the equations for the diaphragm are found out. Then numerical investigations of the normal vibrations are carried out. By these investigations, it has become very easy to estimate the effects of the bending stiffness in the vibrations of a circular stiff membrane and of the permanent tensile stress in the case of a circular stretched plate
