The present invention provides a numerical analysis method for detecting large deflection of an infinite beam. According to the present invention, the numerical analysis method adds geometric nonlinearity characteristic item proposed by von Karman to Euler-Bernoulli beam theory to detect the nonlinear deflection of the infinite beam, unlike numerical analysis method using conventional perturbations method or finite element method (FEM). According to the present invention, the numerical analysis method for detecting large deflection of an infinite beam includes the steps of: modeling a structure to be analyzed as an infinite beam placed on a nonlinear elastic support rod and inputting an infinite beam nonlinear deflection governing equation to calculate an infinite beam governing equation in the form of a differential equation governing the nonlinear deflection of the infinite beam; converting the infinite beam governing equation in the form of the differential equation into an integral equation; calculating iteration mathematical expression in the form of a vector equation for numerical analysis to which an integral operator introducing greens function is applied from the integral equation of the governing equation; conducting iteration method by an analysis computer through the calculated iteration mathematical expression; and detecting the nonlinear deflection of the infinite beam through the iteration method.
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