Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass Support
The thermo-mechanical nonlinear vibrations and stability of a hinged-hinged axially moving beam, additionally supported by a nonlinear spring-mass support are examined via two numerical techniques. The system is subjected to a transverse harmonic excitation force as well as a thermal loading. Hamilt...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-120752 |
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| _version_ | 1832550390633070592 |
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| author | Siavash Kazemirad Mergen H. Ghayesh Marco Amabili |
| author_facet | Siavash Kazemirad Mergen H. Ghayesh Marco Amabili |
| author_sort | Siavash Kazemirad |
| collection | DOAJ |
| description | The thermo-mechanical nonlinear vibrations and stability of a hinged-hinged axially moving beam, additionally supported by a nonlinear spring-mass support are examined via two numerical techniques. The system is subjected to a transverse harmonic excitation force as well as a thermal loading. Hamilton's principle is employed to derive the equations of motion; it is discretized into a multi-degree-freedom system by means of the Galerkin method. The steady state resonant response of the system for both cases with and without an internal resonance between the first two modes is examined via the pseudo-arclength continuation technique. In the second method, direct time integration is employed to construct bifurcation diagrams of Poincaré maps of the system. |
| format | Article |
| id | doaj-art-f87ea7a9e2f54326afb5a75a2184a384 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f87ea7a9e2f54326afb5a75a2184a3842025-02-03T06:07:01ZengWileyShock and Vibration1070-96221875-92032013-01-0120338539910.3233/SAV-120752Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass SupportSiavash Kazemirad0Mergen H. Ghayesh1Marco Amabili2Department of Mechanical Engineering, McGill University, Montreal, QC, CanadaDepartment of Mechanical Engineering, McGill University, Montreal, QC, CanadaDepartment of Mechanical Engineering, McGill University, Montreal, QC, CanadaThe thermo-mechanical nonlinear vibrations and stability of a hinged-hinged axially moving beam, additionally supported by a nonlinear spring-mass support are examined via two numerical techniques. The system is subjected to a transverse harmonic excitation force as well as a thermal loading. Hamilton's principle is employed to derive the equations of motion; it is discretized into a multi-degree-freedom system by means of the Galerkin method. The steady state resonant response of the system for both cases with and without an internal resonance between the first two modes is examined via the pseudo-arclength continuation technique. In the second method, direct time integration is employed to construct bifurcation diagrams of Poincaré maps of the system.http://dx.doi.org/10.3233/SAV-120752 |
| spellingShingle | Siavash Kazemirad Mergen H. Ghayesh Marco Amabili Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass Support Shock and Vibration |
| title | Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass Support |
| title_full | Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass Support |
| title_fullStr | Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass Support |
| title_full_unstemmed | Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass Support |
| title_short | Thermal Effects on Nonlinear Vibrations of an Axially Moving Beam with an Intermediate Spring-Mass Support |
| title_sort | thermal effects on nonlinear vibrations of an axially moving beam with an intermediate spring mass support |
| url | http://dx.doi.org/10.3233/SAV-120752 |
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