BUCKLING OF CONICAL SHELLS UNDER EXTERNAL PRESSURE, TORSION AND AXIAL COMPRESSION
TECHNION - ISRAEL INST OF TECH HAIFA DEPT OF AERONAUTICAL ENGINEERING
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A method for the analysis of the instability of thin conical shells under external pressure is extended to buckling under torsion and combined torsion and external or internal pressure as well as axisymmetric temperature distributions. The method is based on solution of modified Donnell type stability equations, in the presence of slightly relaxed boundary conditions for the u and v displacements. Two formulations of the solution for torsion and combined loadings are given and compared. For conical shells of small and medium taper ratio, the interaction curves may be approximated by the semi- empirical curve of Crate, Batdorf and Baab The Effect of Internal Pressure on The Buckling Stress of Thin Walled Circular Cylinders Under Torsion, NACA AAR No. 14E27, May 1944 for cylindrical shells, but for large taper ratio different curves are obtained. Tests of 33 steel, Alclad, and Al alloy conical shells of varying geometries are described. The buckling and postbuckling behavior and the effect of initial out-of-roundness are discussed. The results of another experimental program on the instability of thin truncated conical shells in torsion and under the combined loading of external pressure and torsion are given, and compared with theory.
- Numerical Mathematics