A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid
A new differential transformation method is developed in this paper and is applied for free vibration problem of pipes conveying fluid. The natural frequencies, critical flow velocities, and vibration mode functions of such pipes with several typical boundary conditions are obtained and compared wit...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/1472601 |
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| _version_ | 1849399933193420800 |
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| author | H. B. Wen Y. R. Yang P. Li Y. D. Li Y. Huang |
| author_facet | H. B. Wen Y. R. Yang P. Li Y. D. Li Y. Huang |
| author_sort | H. B. Wen |
| collection | DOAJ |
| description | A new differential transformation method is developed in this paper and is applied for free vibration problem of pipes conveying fluid. The natural frequencies, critical flow velocities, and vibration mode functions of such pipes with several typical boundary conditions are obtained and compared with the results predicted by Galerkin method and finite element method (FEM) and with other results archived. The results show that the present method is of high precision and can serve as an analytical method for the vibration of pipes conveying fluid. |
| format | Article |
| id | doaj-art-a55e87c844634896b461ae5259cdf57d |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-a55e87c844634896b461ae5259cdf57d2025-08-20T03:38:12ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/14726011472601A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying FluidH. B. Wen0Y. R. Yang1P. Li2Y. D. Li3Y. Huang4School of Mechanical Engineering, Sichuan University of Science and Engineering, Zigong 643000, ChinaSchool of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Mechanical Engineering, Sichuan University of Science and Engineering, Zigong 643000, ChinaSchool of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaA new differential transformation method is developed in this paper and is applied for free vibration problem of pipes conveying fluid. The natural frequencies, critical flow velocities, and vibration mode functions of such pipes with several typical boundary conditions are obtained and compared with the results predicted by Galerkin method and finite element method (FEM) and with other results archived. The results show that the present method is of high precision and can serve as an analytical method for the vibration of pipes conveying fluid.http://dx.doi.org/10.1155/2017/1472601 |
| spellingShingle | H. B. Wen Y. R. Yang P. Li Y. D. Li Y. Huang A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid Shock and Vibration |
| title | A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid |
| title_full | A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid |
| title_fullStr | A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid |
| title_full_unstemmed | A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid |
| title_short | A New Method Based on Laplace Transform and Its Application to Stability of Pipe Conveying Fluid |
| title_sort | new method based on laplace transform and its application to stability of pipe conveying fluid |
| url | http://dx.doi.org/10.1155/2017/1472601 |
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