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, La matrice d'amortissement D est symétrique définie positive, i.e. inversible et ses valeurs propres sont réelles strictement positives

, Petits déplacements et petites perturbations à partir d'une position d'équilibre (linéarisation à l'ordre 2)

, Système naturel (liaisons scléronomes) : l'énergie cinétique se

, Les forces circulantes sont négligées devant les autres forces non conservatives Elles peuvent être classées en trois catégories : Toujours valables par définition du problème physique : hypothèses 1, vol.2

, Nécessaires mais potentiellement limitantes pour une généralisation : hypothèse 4

, Qui pourraient être relaxées en enrichissant le modèle mais qui sont posées dans un premier temps à des fins de simplification : hypothèses, vol.5

. Physiquement, deux hypothèses ont des implications directes sur les simulations de vibrations d'une aube avec les équations du mouvement définies. Elles définissent le contexte de travail et la validité des résultats : Plages de vitesses de rotation élevées

, Déplacement calculé limité : le déplacement calculé en bout d'aube ne devra pas excéder 10% du rayon de l'aube pour être admissible

, Le but de l'étude étant d'étudier les configurations qui induisent des interactions vibratoires, et non de donner des valeurs d'amplitudes du mouvement, l'hypothèse 4 ne sera donc pas limitante dans ce cadre