等方性サンドウィッチ平面板の曲げ理論とその応用例

抄録

The present paper treats the bending theory of the sandwich plates in which the individual stiffness of the facings or of the core can not be neglected in comparison with the total bending stiffness of the sandwich plate as a whole. ln developing the theory, it is assumed that the deformation of the facings produced by bending of the plate are"irrotational " in the paralle1 plane of the surface. This assumption may be, however, considered reasonable, since it is tacitly accepted in the ordinary plate theory of bending in which transverse shear deformation is neglected.
The solution of the fundamental equations gives the deflection and the stress function, which in turn give the deformation and the stresses in the facings and the core. The solution obtained by this theory can satisfy three boundary conditions for one edge of the plate, while in the ordinary plate theory two conditions are necessary and sufficient for complete determination of the stresses and the deformation of the plate.
Two examples of the application are shown; the deflection of the rectangular sandwich plate subjected to transverse pressure and the buckling of the rectangular sandwich plate due to edge compression are solved. lt is shown thereby that the application is comparatively easy and convenient.