Cubic and quintic B-spline functions for dynamic response

There are numerous approximate algorithms for dynamical response analysis,but their accuracies are limited and they are computationally intensive.The Hamilton-type quasi-variation principle was used to develop a method using cubic B-spline functions for interpolation from the frequency domain to the time subdomain.Numerical results indicate that the maximum errors are 1/17～2/5 of traditional algorithms and computation times are 1/10～1/3.In addition,the time-subdomain method using cubic B-spline interpolation is more easily applied in engineering problems than methods using quintic B-spline functions.