A new family of B-spline based explicit time integration methods for linear structural dynamic analysis

Abstract

This study develops a new family of explicit time integration methods for linear structural dynamic analysis. The proposed method is formulated using cubic B-spline interpolation. Several cases of algorithm parameters are identified by theoretical analysis to improve stability and accuracy. The explicit method exhibits desirable algorithmic properties, including stability and accuracy. The numerical examples demonstrate that the proposed method can achieve desirable stability, accuracy and efficiency for linear structural dynamic analysis.