初期撓みを有する円筒の軸対称弾性変形について

概要

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The initial deflections exist between frames for the stiffend cylinders fabricated by welding. In this paper the influence of the initial deflection to the elastic behavior of a cylinder subjected to external hydrostatic pressure was studied using the mathematical expressions for the intial deflections as follows (1) w_<i1>=δ(1-4ξ^2) (2) w_<i2>=δ/(w_<ξ=0>-w_<ξ=1/2)(w-w_<ξ=1/2>) (3) w_<i3>=A sinh k_2ξ sin k_1ξ+D cosh k_2ξcos k_1ξ+k A theoretical analysis indicates that the influences of initial deflections are different by its forms.The pressures at which the total stress on the surface of the cylinder with initial deflection w_<i3> equal to the yielding stress of material were calculated for the cylinders having different dimentions. Results of these calculations are shown Fig.4,which are nondimentional plots of ψ=qa/Yh versus v^2=b^2/ah.
社団法人日本船舶海洋工学会の論文