On the nonlinear stochastic dynamics of a continuous system with discrete attached elements

Abstract : This paper presents a theoretical study on the influence of a discrete element in the nonlinear dynamics of a continuous mechanical system subject to randomness in the model parameters. This system is composed by an elastic bar, attached to springs and a lumped mass, with a random elastic modulus and subjected to a Gaussian white-noise distributed external force. One can note that the dynamic behaviour of the bar is significantly altered when the lumped mass is varied, becoming, on the right extreme and for large values of the concentrated mass, similar to a mass-spring system. It is also observed that the system response is more influenced by the randomness for small values of the lumped mass. The study conducted also show an irregular distribution of energy through the spectrum of frequencies, asymmetries and multimodal behaviour in the probability distributions of the lumped mass velocity.
Liste complète des métadonnées

Littérature citée [24 références]  Voir  Masquer  Télécharger

https://hal-upec-upem.archives-ouvertes.fr/hal-01438635
Contributeur : Americo Cunha Jr <>
Soumis le : mardi 17 janvier 2017 - 21:01:57
Dernière modification le : samedi 11 novembre 2017 - 22:56:21
Document(s) archivé(s) le : mardi 18 avril 2017 - 15:45:26

Fichier

APM-D-13-01314.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Copyright (Tous droits réservés)

Identifiants

Collections

Citation

Americo Cunha Jr, Rubens Sampaio. On the nonlinear stochastic dynamics of a continuous system with discrete attached elements. Applied Mathematical Modelling, Elsevier, 2015, 39 (2), pp.809-819. 〈10.1016/j.apm.2014.07.012〉. 〈hal-01438635〉

Partager

Métriques

Consultations de la notice

116

Téléchargements de fichiers

96