Stability analysis of direct integration algorithms applied to MDOF nonlinear structural dynamics / Cheng Chen in Journal of engineering mechanics, Vol. 134 n°9 (Septembre 2008)  

Stability analysis of direct integration algorithms applied to MDOF nonlinear structural dynamics [texte imprimé] / Cheng Chen, Auteur ; James M. Ricles, Auteur . - 2008 . - pp.485–495.
Mécanique appliquée
Langues : Anglais (eng)
in Journal of engineering mechanics > Vol. 134 n°9 (Septembre 2008) . - pp.485–495.

Mots-clés :	Algorithm Dynamics MDOF Transfer function Stability Nonlinear
Résumé :	Direct integration algorithms are typically used to solve temporally discretized equations of motion to evaluate the performance of structures under dynamic loading. The stability of these direct integration algorithms are usually investigated for linear elastic structures. However integration algorithms are often applied to structures with nonlinear behavior. This paper presents a procedure based on discrete control theory to investigate the stability of direct integration algorithms applied to multidegree-of-freedom (MDOF) nonlinear structures. The discrete root locus approach is used to investigate properties of the poles of the discrete transfer function matrix representing the nonlinear structural dynamics and to assess the stability of the integration algorithm. The procedure is illustrated using a nonlinear shear building MDOF system to investigate the stability of popular direct integration algorithms, including the Newmark family of integration algorithms, the Hilber-Hughes-Taylor α -method, and two newly developed explicit integration algorithms. Stability limits are derived for the direct integration algorithms that are found to be conditionally stable.
ISSN :	0733-9399
En ligne :	http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000083?journalCod [...]