摘要
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.
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.
基金
Project supported by National Natural Science Foundation
