On the precise evaluation of acceleration computations for general structural dynamic applications: Issues and noteworthy perspectives

To-date, with the exception of the Newmark method and the midpoint rule, most computational algorithms under the umbrella of LMS methods, which are predominantly employed in research and commercial software lack an in-depth understanding of how to evaluate acceleration computations accurately. Indeed, this is not trivial and much of the literature to-date has several misconceptions and drawbacks because of the lack of a sound theoretical basis and understanding of the fundamental issues. For the first time, we provide a resolution to this issue and point-out several noteworthy perspective to address the correct evaluation of acceleration computations for structural dynamics applications with focus on LMS methods as an illustration.