Study of the nonlinear longitudinal dynamics of a stochastic system

Study of the nonlinear longitudinal dynamics of a stochastic system

This paper deals with the theoretical study of how discrete elements attached to a continuous stochastic systems can affect their dynamical behavior. For this, it is studied the nonlinear longitudinal dynamics of an elastic bar, attached to springs and a lumped mass, with a random elastic modulus a...

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Main Authors: Cunha Americo, Sampaio Rubens
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20141605004
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spelling doaj-39d587d4e4b34a9aad82e84a27970fa22021-04-02T14:59:05ZengEDP SciencesMATEC Web of Conferences2261-236X2014-01-01160500410.1051/matecconf/20141605004matecconf_csndd2014_05004Study of the nonlinear longitudinal dynamics of a stochastic systemCunha AmericoSampaio Rubens This paper deals with the theoretical study of how discrete elements attached to a continuous stochastic systems can affect their dynamical behavior. For this, it is studied the nonlinear longitudinal dynamics of 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. Numerical simulations are conducted and their results are analyzed in function of the ratio between the masses of the discrete and the continuous parts of the system. This analysis reveals that the dynamic behavior of the bar is significantly altered when the lumped mass is varied, being more influenced by the randomness for small values of the lumped mass. http://dx.doi.org/10.1051/matecconf/20141605004
collection DOAJ
language English
format Article
sources DOAJ
author Cunha Americo
Sampaio Rubens
spellingShingle Cunha Americo
Sampaio Rubens
Study of the nonlinear longitudinal dynamics of a stochastic system
MATEC Web of Conferences
author_facet Cunha Americo
Sampaio Rubens
author_sort Cunha Americo
title Study of the nonlinear longitudinal dynamics of a stochastic system
title_short Study of the nonlinear longitudinal dynamics of a stochastic system
title_full Study of the nonlinear longitudinal dynamics of a stochastic system
title_fullStr Study of the nonlinear longitudinal dynamics of a stochastic system
title_full_unstemmed Study of the nonlinear longitudinal dynamics of a stochastic system
title_sort study of the nonlinear longitudinal dynamics of a stochastic system
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2014-01-01
description This paper deals with the theoretical study of how discrete elements attached to a continuous stochastic systems can affect their dynamical behavior. For this, it is studied the nonlinear longitudinal dynamics of 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. Numerical simulations are conducted and their results are analyzed in function of the ratio between the masses of the discrete and the continuous parts of the system. This analysis reveals that the dynamic behavior of the bar is significantly altered when the lumped mass is varied, being more influenced by the randomness for small values of the lumped mass.
url http://dx.doi.org/10.1051/matecconf/20141605004
work_keys_str_mv AT cunhaamerico studyofthenonlinearlongitudinaldynamicsofastochasticsystem
AT sampaiorubens studyofthenonlinearlongitudinaldynamicsofastochasticsystem
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