This report's objective is to present the state-of-the-art on the application of the numerical models forthe dynamic evaluation of the roofing systems. This systematic review summarizes the findings of thepast research activities along with their limitations. As well, it also recommends future research areas inthe dynamic modeling of both the driving force and roofing system response. A bibliography is appendedclassifiylng the articles in this research area into four groups; driving forces, roofing systems, membraneand attachment systems. A second report, "Application of Numerical Models for the Dynamic Evaluationof Roofing Systems - Part 2: Present Focus: will document the present modeling methodologies alongwith limited preliminary findings.Ce rapport a pour objectif de pr\ue9senter l?\ue9tat actuel des r\ue9alisations dans le domaine de l?application des mod\ue8les num\ue9riques \ue0 l?\ue9valuation dynamique des syst\ue8mes de couverture. Cet examen syst\ue9matique r\ue9sume les conclusions des activit\ue9s de recherche ant\ue9rieures ainsi que leurs limites. De m\ueame, on y identifie \ue9galement des aires de recherche futures rattach\ue9es \ue0 la mod\ue9lisation dynamique de la force de pouss\ue9e et de la r\ue9ponse du syst\ue8me de couverture. Une bibliographie est annex\ue9e, laquelle classifie les articles parus dans ce domaine de recherche en quatre (4) groupes distincts: forces de pouss\ue9e; syst\ue8mes de couverture; membranes; syst\ue8mes de fixation. Un second rapport, Application of Numerical Models for the Dynamic Evaluation of Roofing Systems - Part 2: Present Focus, documentera les m\ue9thodologies de mod\ue9lisation actuelles ainsi que les conclusions pr\ue9liminaires limit\ue9es.Peer reviewed: NoNRC publication: Ye