Inelastic Dynamic Analysis of Structures under Blast Loads Using Generalized B-spline Method

Quartic B-spline time integration method has been recently proposed for solving linear problems in structural dynamics. This paper developed this method to nonlinear dynamic analysis of single-degree-of-freedom (SDOF) systems under exploding loads. Using quartic B-spline basis function, this method gained second order of acceleration at each time-step. Thus it benefits from high accuracy compared to the methods in the literature. In this research, in order to applying the iterative process in the procedure, firstly, a series of standard formulas were derived from previous formulation. Then the Newton-Raphson iterative method used to develop new formulation for solving nonlinear dynamic problems. Finally, for the new scheme, a simple step-by-step algorithm is implemented and presented to calculate dynamic response of SDOF systems. The validity and effectiveness of the proposed method is demonstrated with two examples. The results were compared with those from the famous numerical method. The comparison shows that the proposed method is a fast and simple procedure with trivial computational effort.