초록 close

One of the most versatile approaches for analyzing the dynamic behavior of structuralsystems is direct time integration of semi-discrete equations of motion. However responses computed bytime integration are generally inexact and hence the corresponding erors would rather be studied inadvance. In spite of the various error estimation formulations that exist in the literature, it is acceptedpractice to repeat the analyses with smaller time steps, followed by a comparison between the results. Inthis paper, after a review of this simple method and disregarding the round-of errors, a more efficient,reliable and yet simple method for estimating errors and enhancing the accuracy is proposed. The mainobjectives of this research are more realistic error estimation based on the concept of convergence,approximately controlling the reliability by comparing the actual rate of convergence with the integrationmethods order of accuracy, and enhancement of reliability by applying Richardsons extrapolation.Starting from the errors at specific time instants, the study is then generalized to cases in which the errorsshould be estimated and decreased at specific events e.g. peak responses. Numerical study illustrates theefficacy of the proposed method.