非保存力を受ける周辺固定部分球形殻の弾性安定解析 I

抄録

A number of investigations concerning elastic stability of shell type structures subjected to quasi-stasic conservative forces or time depending dynamic forces. However there have been no study for the behavior of them under the action of quasi-static nonconservative forces. In this paper the authors show an analytical study of stability for clamped spherical shells subjected to combined load composed of quasi-static uniform hydropressure (conservative force) and a frictional force (nonconservative tangential follower force). Similar loading conditions, for example, can be realized when an object is moving fast under deep soil or liquid. And it is found that dynamic instabilities take place at some equilibrium states. These tendencies are remarkable in the cases of moderatly deep shells. The authors consider such phenomena will be of interest and important from the view point of structural engineering.