A New Method of Researching the Equation of Nonlinear Static Simply Supported Beam
In this paper, the nonlinear deflection curve equation of simply supported beam is converted into an algebraic equation based on a new method that combines with the Modified Differential Method and Newton Iteration Method. The conclusion drawn by comparing the analytical solution and numerical results of simply supported beam’s equation with uniform load shows that the method is precise and efficient for solving nonlinear differential equations. We also analyze the case of simply supported beam with variable cross-section and get the same conclusion.
L. Y. Yang and Z. L. Li, "A New Method of Researching the Equation of Nonlinear Static Simply Supported Beam", Advanced Materials Research, Vols. 261-263, pp. 848-852, 2011