Solution for Geometrically Non-Linear Elastic Deformation of Simple Frames by a Shooting Method
Based on an exact geometric nonlinear theory for plane curved beams, geometrically nonlinear equilibrium equations and boundary conditions governing the nonlinear bending of a simple plane frame structure subjected distributed loads were derived. By using the shooting method to numerically solve the boundary value problem of nonlinear ordinary differential equations, large deformation equilibrium configurations of a simple frame with both straight and the curved beam elements subjected uniformly distributed load were obtained. The theory and methodology presented can be used to analyze large deformation of plane simple frames with a variety of geometries and loadings.
Ahmad Kamal Ariffin, Shahrum Abdullah, Aidy Ali, Andanastuti Muchtar, Mariyam Jameelah Ghazali and Zainuddin Sajuri
S. R. Li and Y. D. Hu, "Solution for Geometrically Non-Linear Elastic Deformation of Simple Frames by a Shooting Method", Key Engineering Materials, Vols. 462-463, pp. 668-673, 2011