An explicit time integration method for structural dynamics using cubic B-spline polynomial functions

This paper presents a scheme where the cubic b-spline method is developed for multi-degrees-of-freedom (mdof) systems. in the proposed approach, a straightforward formulation in a fluent mannerwas derived from the approximation of the response of the system with a b-spline basis. in this way, thereis no need to use a special pre-starting procedure to commence solving the problem. a simple step-by-stepalgorithm is implemented and presented to calculate the dynamic response ofmdofsystems. stability andaccuracy analyses have been done in this paper. the results of the accuracy investigation were comparedwith some other state of the art methods. actually, this method lies in cases of conditionally stablemethods. the validity and effectiveness of the proposed method is demonstrated with two examples.