The direct force correction based framework for general co-rotational analysis

The use of nonlinear projection matrix in co-rotational (CR) analysis was pioneered by Rankin and Nour-Omid 1990s (Computers & Structures, 30 (1988) 257-267; Comput. Methods Appl. Mech. Engrg., 93 (1991) 353-384), has almost became a standard manner for CR formulations deduction over the past thirty years. This however relies heavily on hysterical sophisticated derivation variation local displacements to global ones, leading complicated expressions internal force vector tangent stiffness matrix, which may devalue simplicity convenience original intention using approach. paper begins making discussion existing element independent formulation objective is develop new simple framework general that avoids conventional matrix. Multiple numerical examples involving various kinds elements different choices frame are presented demonstrate performance proposed framework. outcomes show all accuracy results comparable with those obtained conjunction