Buckling load analysis of cracked curved beams using differential quadrature element method

Abstract

This paper investigates the buckling load of a cracked curved beam subjected to external excitations considering the effects of shear deformations and the geometric nonlinearity due to large deformations. The governing nonlinear equations of motion are derived. The solution consists of just static part, leading to nonlinear differential equations. The differential quadrature element method has been used to solve the problem. First, it is applied to the equilibrium equations, leading to a nonlinear algebraic system of equations that will be solved utilizing an arc length strategy. To verify the validity of the proposed method, the beam is modeled using the finite element method. The great agreement between the results shows the accuracy of the proposed method in predicting the loading of buckling of the beam.