STUDY ON LARGE DEFORMATION MECHANICAL BEHAVIOR OF EULER-BERNOULLI BEAM USING DQM

The mechanical behavior of slender columns under large deformations, which are used frequently in engineering, were studied. Based on Euler-Bernoulli beam theory using bar element elongation and ignoring shear deformation, geometric nonlinear control equations were established for large deformation analysis. Using the differential quadrature method with the control equation, the governing equation and boundary conditions were transformed into algebraic equation form, and the improved Newton iterative method, specifically the inverse 1st rank Broyden method, was used to solve this equation. Calculation shows that differential quadrature method is a powerful tool when used to analyze large deformation structures.