Equilibrium equations of arbitrarily loaded pre-stressed nonprismatic composite beams and the DQEM buckling analysis using EDQ

The generic equilibrium equations of arbitrarily loaded prestressed nonprismatic composite beams can be derived. The buckling equilibrium equations can be obtained by simplifying the generic equilibrium equations. These equations can be used to develop the DQEM analysis model of the buckling of beams. The DQEM uses the extended differential quadrature (EDQ) to discretize the buckling equilibrium equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results of the buckling of bar structures solved by the developed numerical algorithm are presented. They prove that the DQEM buckling analysis model is efficient.