Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach
We use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms. We illustrate the applicability of our approach by using the equations of motion that arise in many engineering problems and co...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/245092 |
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| _version_ | 1832550317807370240 |
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| author | Alex Elías-Zúñiga Oscar Martínez-Romero |
| author_facet | Alex Elías-Zúñiga Oscar Martínez-Romero |
| author_sort | Alex Elías-Zúñiga |
| collection | DOAJ |
| description | We use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms. We illustrate the
applicability of our approach by using the equations of motion that arise in many engineering problems and compare their amplitude-time curves with those obtained by the numerical integration solutions of the original equations
of motion. |
| format | Article |
| id | doaj-art-f76cd56bc9dc462198658ce20c319586 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f76cd56bc9dc462198658ce20c3195862025-02-03T06:07:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/245092245092Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation ApproachAlex Elías-Zúñiga0Oscar Martínez-Romero1Departamento de Ingeniería Mecánica, Tecnológico de Monterrey, Monterrey Campus, Eugenio Garza Sada 2501 Sur, 64849 Monterrey, NL, MexicoDepartamento de Ingeniería Mecánica, Tecnológico de Monterrey, Monterrey Campus, Eugenio Garza Sada 2501 Sur, 64849 Monterrey, NL, MexicoWe use a nonlinear transformation method to develop equivalent equations of motion of nonlinear homogeneous oscillatory systems with linear and nonlinear odd damping terms. We illustrate the applicability of our approach by using the equations of motion that arise in many engineering problems and compare their amplitude-time curves with those obtained by the numerical integration solutions of the original equations of motion.http://dx.doi.org/10.1155/2013/245092 |
| spellingShingle | Alex Elías-Zúñiga Oscar Martínez-Romero Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach Journal of Applied Mathematics |
| title | Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach |
| title_full | Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach |
| title_fullStr | Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach |
| title_full_unstemmed | Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach |
| title_short | Investigation of the Equivalent Representation Form of Strongly Damped Nonlinear Oscillators by a Nonlinear Transformation Approach |
| title_sort | investigation of the equivalent representation form of strongly damped nonlinear oscillators by a nonlinear transformation approach |
| url | http://dx.doi.org/10.1155/2013/245092 |
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