Two Degrees of Freedom Non-linear Model to Study the Automobile’s Vibrations
In this paper we present a non-linear model for the study of an automobile's vibrations. The model has two degrees of freedom and it is highly non-linear. The forces in the springs are considered to be given by a polynomial potential. The equations of motion are obtained using the Lagrange seco...
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| Format: | Article |
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Eftimie Murgu University of Resita
2010-01-01
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| Series: | Analele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie |
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| Online Access: | http://anale-ing.uem.ro/2010/14_C.pdf |
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doaj-19b1a10f718d4a92ab580c9fc39bf5642020-11-25T03:21:21ZengEftimie Murgu University of ResitaAnalele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie1453-73972010-01-01XVII1133138Two Degrees of Freedom Non-linear Model to Study the Automobile’s VibrationsNicolae–Doru StănescuIn this paper we present a non-linear model for the study of an automobile's vibrations. The model has two degrees of freedom and it is highly non-linear. The forces in the springs are considered to be given by a polynomial potential. The equations of motion are obtained using the Lagrange second order equations. We determined the equilibrium positions. We proved the conditions for the uniqueness of the equilibrium. In our paper we studied the stability of the equilibrium and the stability of the motion. Finally a numerical application is presented.http://anale-ing.uem.ro/2010/14_C.pdfnon-linearvibrationsstabilityautomobile |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nicolae–Doru Stănescu |
| spellingShingle |
Nicolae–Doru Stănescu Two Degrees of Freedom Non-linear Model to Study the Automobile’s Vibrations Analele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie non-linear vibrations stability automobile |
| author_facet |
Nicolae–Doru Stănescu |
| author_sort |
Nicolae–Doru Stănescu |
| title |
Two Degrees of Freedom Non-linear Model to Study the Automobile’s Vibrations |
| title_short |
Two Degrees of Freedom Non-linear Model to Study the Automobile’s Vibrations |
| title_full |
Two Degrees of Freedom Non-linear Model to Study the Automobile’s Vibrations |
| title_fullStr |
Two Degrees of Freedom Non-linear Model to Study the Automobile’s Vibrations |
| title_full_unstemmed |
Two Degrees of Freedom Non-linear Model to Study the Automobile’s Vibrations |
| title_sort |
two degrees of freedom non-linear model to study the automobile’s vibrations |
| publisher |
Eftimie Murgu University of Resita |
| series |
Analele Universităţii "Eftimie Murgu" Reşiţa: Fascicola I, Inginerie |
| issn |
1453-7397 |
| publishDate |
2010-01-01 |
| description |
In this paper we present a non-linear model for the study of an automobile's vibrations. The model has two degrees of freedom and it is highly non-linear. The forces in the springs are considered to be given by a polynomial potential. The equations of motion are obtained using the Lagrange second order equations. We determined the equilibrium positions. We proved the conditions for the uniqueness of the equilibrium. In our paper we studied the stability of the equilibrium and the stability of the motion. Finally a numerical application is presented. |
| topic |
non-linear vibrations stability automobile |
| url |
http://anale-ing.uem.ro/2010/14_C.pdf |
| work_keys_str_mv |
AT nicolaedorustanescu twodegreesoffreedomnonlinearmodeltostudytheautomobilesvibrations |
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1724615217384521728 |