Based on the finite displacement theory of elastic shells, the postbuckling behaviour of submarine pipelines with residual stresses is investigated by using a new finite element formula. The corresponding complementar...Based on the finite displacement theory of elastic shells, the postbuckling behaviour of submarine pipelines with residual stresses is investigated by using a new finite element formula. The corresponding complementary energy functional is first constructed, and then a geometrical stiffness matrix suitable for the postbuckling of a cylindrical shell is derived. In this matrix the effects of initial stresses and harmonic coupling terms have been considered. The formulation presented in this paper can be used to solve a significant class of problems in the analysis of elastic shells.展开更多
Based on the Karman-Donnell shell equations, a two-timing perturbation technique together with Fourier series expansion is used to solve an imperfection sensitivity problem of submarine pipelines with dimple shaped in...Based on the Karman-Donnell shell equations, a two-timing perturbation technique together with Fourier series expansion is used to solve an imperfection sensitivity problem of submarine pipelines with dimple shaped initial deflection under external pressure combined with axial load. The relationship between limit load and initial postbuckling coefficient as well as imperfection parameter is obtained. It shows that these submarine pipelines are imperfection-sensitive to a dimple shaped imperfection over a large range of a geometrical parameter and that the effect of the dimple shaped imperfection on limit load depends only upon its linear buckling mode component of the corresponding Fourier series expansion.展开更多
基金The project is financially supported by National Natural Science Foundation
文摘Based on the finite displacement theory of elastic shells, the postbuckling behaviour of submarine pipelines with residual stresses is investigated by using a new finite element formula. The corresponding complementary energy functional is first constructed, and then a geometrical stiffness matrix suitable for the postbuckling of a cylindrical shell is derived. In this matrix the effects of initial stresses and harmonic coupling terms have been considered. The formulation presented in this paper can be used to solve a significant class of problems in the analysis of elastic shells.
基金Project supported by National Natural Science Foundation
文摘Based on the Karman-Donnell shell equations, a two-timing perturbation technique together with Fourier series expansion is used to solve an imperfection sensitivity problem of submarine pipelines with dimple shaped initial deflection under external pressure combined with axial load. The relationship between limit load and initial postbuckling coefficient as well as imperfection parameter is obtained. It shows that these submarine pipelines are imperfection-sensitive to a dimple shaped imperfection over a large range of a geometrical parameter and that the effect of the dimple shaped imperfection on limit load depends only upon its linear buckling mode component of the corresponding Fourier series expansion.
