Abstract

The high precision numerical method for solving nonlinear bending problems of large deflection beam is presented. The governing equation of large deflection beam is a strongly nonlinear ordinary differential equation. Using the solution of linear bending beam as an initial guess function, the nonlinear bending equation of beam can be transferred into a linear differential equation. The improvement solution of nonlinear bending beam is obtained by solving the linearized bending equation using barycentric interpolation collocation method. Then, the solution of nonlinear bending beam can be given by iterative method. Some examples demonstrate the validity and computational accuracy of proposed method.

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