P-positive definite matrices and stability of non conservative systems
Résumé
The bifurcation problem of constrained non-conservative systems with non symmetric stiffness matrices is investigated. It leads to study the subset $D_{p,n}$ of $ℳn(ℝ)$ of the so called $p$-positive definite matrices ($1 ≤ p ≤ n$). The main result ($D_{1,n} ⊂ D_{p,n}$) is proved, the reciprocal result is investigated and the consequences on the stability of elastic nonconservative systems are highlighted.
Origine : Fichiers produits par l'(les) auteur(s)
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