It is well known that the Newmark’s method is considered one of the most popular methods for structural
dynamic analysis. In this study, starting from the basic Newmark’s method, a new accurate method is
investigated and developed. The basic idea of the proposed method is to use Richardson’s extrapolation to
improve the basic Newmark’s method. To observe the accuracy of the proposed method, several numerical
tests are performed for a single degree-of-freedom (SDM) dynamic system and the results are compared with
results from Newmark’s method and the exact solution. The results show that the proposed method improves
the solution accuracy of the structural dynamic problems compared to the Newmark’s method. Moreover, the
results of the free oscillating case show that the modified Newmark’s method has more computational
efficiency compared to the Newmark’s method.Scopu
