衝撃圧力による円筒殼のElastic Shell Bucklingについて

概要

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The elastic shell buckling of a circular culindrical shell caused by a briefly applied, intense pressure loading is considered. When such cylindrical shells as these produce the elastic shell buckling by the hydrostatic pressure collpse under the transient load, it may be thought that the elastic buckling of the shell occure at the early stage of the collapse.Such a elastic buckling pressure is able to calculated by the method of minimumization of the total potential which is the sum of the elastic stratin energy in the shell, the kinetic energy of the shell and the work done by the external forces acting on the shell, that is, the equation of the motion on the shell is obtained from the first variation of the total potential, and the second variation determines the critical perssure at which the elastic instability of the shell will occure.The calculating result as follows, q_s=((α^4)/(n^2+α^2)+1/(12(1-ν^2)(h^2)/(α^2)(n^2+α^2)-(n^2+(α^2)/2)q_0+(λ^2)/(k^2))/([n^2(1-cos kt)-1]+2/((n^2+α^2)^2)[n^2{n^2+(2+ν)α^2}cos kt-α^2(n^2-να^2)]) where P_S=critical trainsient pressure (asumming that the load-time relation is square)q_S=P_Sa/Eh P_0=static pressure q_0=P_0a/Eh n=number of lobes α=πa/b a=radius of cylinder b=length of cylinder h=thickness of cylinder κ^2=Eg/γa^2 γ=density of shell material λ=ratio of the velocity of buckling deflection to the buckling deflection
社団法人日本船舶海洋工学会の論文