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 an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2014-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/matecconf/20141605004 |
| _version_ | 1811189449386622976 |
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| author | Cunha Americo Sampaio Rubens |
| author_facet | Cunha Americo Sampaio Rubens |
| author_sort | Cunha Americo |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T14:36:08Z |
| format | Article |
| id | doaj.art-39d587d4e4b34a9aad82e84a27970fa2 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-04-11T14:36:08Z |
| publishDate | 2014-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-39d587d4e4b34a9aad82e84a27970fa22022-12-22T04:18:20ZengEDP SciencesMATEC Web of Conferences2261-236X2014-01-01160500410.1051/matecconf/20141605004matecconf_csndd2014_05004Study of the nonlinear longitudinal dynamics of a stochastic systemCunha AmericoSampaio RubensThis 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 |
| spellingShingle | Cunha Americo Sampaio Rubens Study of the nonlinear longitudinal dynamics of a stochastic system MATEC Web of Conferences |
| title | 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_short | Study of the nonlinear longitudinal dynamics of a stochastic system |
| title_sort | study of the nonlinear longitudinal dynamics of a stochastic system |
| url | http://dx.doi.org/10.1051/matecconf/20141605004 |
| work_keys_str_mv | AT cunhaamerico studyofthenonlinearlongitudinaldynamicsofastochasticsystem AT sampaiorubens studyofthenonlinearlongitudinaldynamicsofastochasticsystem |