Longitudinal Vibrations of the Viscoelastic Moving Belt
The longitudinal dynamic governing equation of the viscoelastic belt with one end subjected to concentrated mass was established based on the Kelvin-Voigt viscoelastic partial-differential constitutive law. The generalized coordinate method was adopted to solve dynamic displacement and dynamic tensi...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/769309 |
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| _version_ | 1849413054522982400 |
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| author | Xiaoxu Pang Junxia Li Ziming Kou |
| author_facet | Xiaoxu Pang Junxia Li Ziming Kou |
| author_sort | Xiaoxu Pang |
| collection | DOAJ |
| description | The longitudinal dynamic governing equation of the viscoelastic belt with one end subjected to concentrated mass was established based on the Kelvin-Voigt viscoelastic partial-differential constitutive law. The generalized coordinate method was adopted to solve dynamic displacement and dynamic tension. And then it was reduced to be a nonhomogeneous partial-differential equation where the analytical solutions with a constant acceleration were obtained. The effects of damping coefficient, the loading radio, and the constant acceleration of the belt on the dynamic response of the belt were investigated using the established dynamic model. The results show that the longitudinal vibration frequency of the viscoelastic moving belt increases with an increasing of the mass at the end. The increasing value of the loading radio, damping coefficient, and decreasing the acceleration will lead to a deceasing in dynamic tension. Moreover, the method of solution can be applied to axially moving viscoelastic materials with different boundary conditions. |
| format | Article |
| id | doaj-art-5ce06578e6ff4900a2ccb28f8fd9790c |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-5ce06578e6ff4900a2ccb28f8fd9790c2025-08-20T03:34:14ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/769309769309Longitudinal Vibrations of the Viscoelastic Moving BeltXiaoxu Pang0Junxia Li1Ziming Kou2School of Mechanical Engineering, Taiyuan University of Technology, Shanxi Provincial Engineering Laboratory & Research Center for Mine Fluid Control, Taiyuan 030024, ChinaSchool of Mechanical Engineering, Taiyuan University of Technology, Shanxi Provincial Engineering Laboratory & Research Center for Mine Fluid Control, Taiyuan 030024, ChinaSchool of Mechanical Engineering, Taiyuan University of Technology, Shanxi Provincial Engineering Laboratory & Research Center for Mine Fluid Control, Taiyuan 030024, ChinaThe longitudinal dynamic governing equation of the viscoelastic belt with one end subjected to concentrated mass was established based on the Kelvin-Voigt viscoelastic partial-differential constitutive law. The generalized coordinate method was adopted to solve dynamic displacement and dynamic tension. And then it was reduced to be a nonhomogeneous partial-differential equation where the analytical solutions with a constant acceleration were obtained. The effects of damping coefficient, the loading radio, and the constant acceleration of the belt on the dynamic response of the belt were investigated using the established dynamic model. The results show that the longitudinal vibration frequency of the viscoelastic moving belt increases with an increasing of the mass at the end. The increasing value of the loading radio, damping coefficient, and decreasing the acceleration will lead to a deceasing in dynamic tension. Moreover, the method of solution can be applied to axially moving viscoelastic materials with different boundary conditions.http://dx.doi.org/10.1155/2015/769309 |
| spellingShingle | Xiaoxu Pang Junxia Li Ziming Kou Longitudinal Vibrations of the Viscoelastic Moving Belt Shock and Vibration |
| title | Longitudinal Vibrations of the Viscoelastic Moving Belt |
| title_full | Longitudinal Vibrations of the Viscoelastic Moving Belt |
| title_fullStr | Longitudinal Vibrations of the Viscoelastic Moving Belt |
| title_full_unstemmed | Longitudinal Vibrations of the Viscoelastic Moving Belt |
| title_short | Longitudinal Vibrations of the Viscoelastic Moving Belt |
| title_sort | longitudinal vibrations of the viscoelastic moving belt |
| url | http://dx.doi.org/10.1155/2015/769309 |
| work_keys_str_mv | AT xiaoxupang longitudinalvibrationsoftheviscoelasticmovingbelt AT junxiali longitudinalvibrationsoftheviscoelasticmovingbelt AT zimingkou longitudinalvibrationsoftheviscoelasticmovingbelt |