薄板構造物の幾何学的非線形解析について

抄録

Monocoque structures, which are considered as an assembly of a number of rods and pannels, are generally analyzed by the usual method. But the stiffness of the thin plate element is largely changed due to effects of buckling, large deflection and others. To account for these features, some particular devices may be introduced, otherwise the use of the more refined mesh or adequate discretion becomes essential to obtain suitable results. The present paper gives a convenient representation for the stiffness matrix of the rectangular and curved panel surrounded by stiffeners. The expression is an incremental relation between some modes of membrane stresses distribution, surface pressure and deflections or deformation of the plate, where the matrix elements also depend on the total membrane stresses and deflections. Using this relation, analysis of the total structure may be easily performed by the well-known incremental load method. Several numerical examples are shown, where number of modes used is 27 in stress distribution, and 15 in deflection. Comparing these results with the exact solution, it is proved that the expression is sufficient for practical use.