Direct integration methods with integral model for dynamic systems

A new approach which is a direct integration method with integral model (DI M-IM) to solve dynamic governing equations is presented. The governing equa tions ore integrated into the integral equations. An algorithm with explici t and predict-correct and self-starting and fourth-order accuracy to integr ate the integral equations is given. Theoretical analysis and numerical exa mples shaw that DIM-IM described in this paper suitable for strong nonlinea r and non-conservative system have higher accuracy than central difference, Houbolt, Newmark and Wilson-Theta methods.