Combined load buckling for cylindrical shells based on a symplectic elasticity approach

Abstract

Buckling behavior of cylindrical shells subjected to combined pressure, torsion and axial compression is presented by employing a symplectic method. Both symmetric and non--symmetric boundary conditions are considered. Hamiltonian canonical equations are established by introducing four pairs of dual variables. Then, solution of fundamental equations is converted into a symplectic eigenvalue problem. It is concluded that the influence of pressure on buckling solutions is more significant than that due to compressive load, in particular for a longer external pressured cylindrical shell. Besides, buckling loads and circumferential wavenumbers can be reduced greatly by relaxed in-plane axial constraints.

Length and Boundary Condition Effects in the Buckling of Cylinders Under Different Load Combinations

“…Concerning the critical circumferential buckling stress of perfect cylindrical shells under uniform external pressure, the prEN 1993-1-6 (2021) [8] adopts several expressions as seen in Eqs. ( 4) to (6), which are for medium, short, and long cylinders, respectively.…”

“…Real applications of thin-walled cylindrical shells showed that such structures are frequently subject to a combination of different types of loads, which are mainly axial compressive load, pressure, and torsional load rather than just one specific loading [6]. Understanding the buckling behavior of cylindrical shells under the combined action of two or all of these loads is thus particularly important (some research [7] has been done on this topic, and a lot of knowledge could be gained from it).…”