... 2 ! x 2 + . . . + α n − 1 ( n − 1 ) ! x n − 1 . IRPSM Adomian polynomials BVPs Nonlinear analysis Computational efficiency The power series method is a classical analytical technique used to solve differential equations by indicating...

...Gang Li; Shuo Jia; Hong-Nan Li Purpose The purpose of this paper is to make a theoretical comprehensive efficiency evaluation of a nonlinear analysis method based on the Woodbury formula from the efficiency of the solution of linear equations in each incremental step and the selected iterative...

... formulations to cases where multiaxial behaviour exists, being an alternative to plane and solid FE models for the nonlinear analysis of entire frame structures. The paper aims to discuss these issues. Design/methodology/approach – Shear is taken into account at different levels of the numerical model...

... Analytical solutions Cables Large deflection Nonlinear analysis Slack cables x_r, y_r, z_r Vectors that contain the coordinates of the released nodes x_f...

... for the efficient nonlinear analysis of large‐scale structural elements that can be considered as an assembly of membrane elements, such as bridge girders, shear walls, transfer beams or containment structures. Design/methodology/approach In the proposed constitutive model, the equilibrium equations...

... that the proposed methodologies in the integrated manner are unique and provide stability in nonlinear analysis of RC shell structures. As present study focuses on finding ultimate strength of RC shell structure, a compatible failure criterion is included besides modelling the stress‐strain relation. Failure...

...M.A. Crisfield; X. Peng Presents a range of numerical results obtained from the geometrically nonlinear analysis of a cantilevered cylindrical shell. Shows that, while the fine‐mesh solution involves no limit points, as the mesh is coarsened, an increasing series of “false limit points...