Notice of RetractionAn improved predictor-corrector procedure for the dynamics of geometrically nonlinear shell structure
For geometrically nonlinear structure, the expressions of tangent stiffness matrix and internal forces of shell element are derived by CR (Co-rotational) theory, and the simplified formulation is performed on static analysis of a hinged cylindrical segment and validated by the results of experiment and references. Then, a predictor-corrector procedure with an approximately energy conservation is developed. With the application on nonlinear symmetric motion of a cylinder under two pinching forces, the improved procedure presents a better stability and accuracy than nonlinear Newmark algorithm.