Buckling of Annular Plate Joint With Circular Beam

Buckling of Thin Cylindrical Shell Stiffened by Rings With T-Shaped Cross-Section

“…For the cylindrical shell stiffened by wide rings of T-shape cross-section the buckling problem can be reduce to the eigenvalue problem describing buckling of the annular plate stiffened by a circular beam. The critical radial tensile stress σ c for this problem were found in [10]. The asymptotic analyses of axisymmetric deformation of a cylindrical shell stiffened by annular plates under the uniform external pressure allows to obtain the approximate formula (38), which connects the critical pressure p c with the critical stress σ c .…”

“…To find the approximate value of the buckling stress parameter β c the Rayleigh-Ritz method and the shooting procedure in [10] are used. In particular, for the plate with the parameters ε = 0.1, ν = 0.3, a 1 = 0.01 stiffened by the beam of a square cross-section the critical load β c vs. the dimensionless sizes of the beam cross-section a was found.…”

“…Using results of [10] and formula (38) the dimensionless critical pressure λ c for the cylindrical shell stiffened by rings of the T-shape cross-section can be obtained. In Fig.…”

“…Buckling of an annular plate joint with a circular beam under radial uniform tensile stresses σ 0 at the inner plate edge was studied in [10]. In this case formulas for pre-buckling stress-resultantsT 1p andT 2p take the form…”

“…If C 1 =Ĉ 1 then T 1p,2p =T 1p,2p and eigenvalue problem (19), (23), (36) and eigenvalue problem [10] coinside. It follows from the equality C 1 =Ĉ 1 that…”