円形膜の解析とインフレータブルリフレクタへの応用

初期面内張力の効果

抄録

In this paper, we describe the generation of an inflatable reflector. The reflector is generated by applying pressure to a membrane surface. The in-plane force of the radius direction is also applied to the surrounding boundary of the membrane. The exact differential equations to describe the deformation of the membrane are introduced. The deformed shape of the membrane is obtained by numerical calculation. Furthermore, the deformed shape that was calculated is compared with a parabola shape. The standard deviation of shape is introduced to compare the shapes. Finally, the effect of the in-plane force in the radius direction to generating the inflatable reflector is discussed.