Abstract:This paper proposes a precise block-by-block integration method for nonlinear dynamic systems. By applying the proposed method, the original nonlinear differential equations are converted into algebraic equations within each block. Due to the high accuracy and stability of this implicit integration scheme, a large step size can be utilized for nonlinear dynamic systems, compared with those of the fourth order Runge-Kutta method and the Newmark method. In addition, the proposed method is also effective for dynamic systems with a singular or close to singular system matrix. Numerical examples are given to verify the proposed method.