A high-order accurate explicit time integration method based on cubic b-spline interpolation and weighted residual technique for structural dynamics

A novel explicit time integration method is proposed on the basis of cubic b-spline interpolation and weighted residual method. Its calculation formulation and procedure are presented. Accuracy, algorithmic damping, and period elongation are theoretically and numerically solved. The influence of two algorithmic parameters on basic properties of the proposed method is studied to obtain optimal parameters values for dynamic problems. Various linear and nonlinear dynamic problems are tested to demonstrate high efficiency of the proposed method.