Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 62, Number 1, April10 2017 , pages 65-77 DOI: https://doi.org/10.12989/sem.2017.62.1.065 |
|
|
|
Differential transform method and Adomian decomposition method for free vibration analysis of fluid conveying Timoshenko pipeline |
||
Baran Bozyigit, Yusuf Yesilce and Seval Catal
|
||
| Abstract | ||
| The free vibration analysis of fluid conveying Timoshenko pipeline with different boundary conditions using Differential Transform Method (DTM) and Adomian Decomposition Method (ADM) has not been investigated by any of the studies in open literature so far. Natural frequencies, modes and critical fluid velocity of the pipelines on different supports are analyzed based on Timoshenko model by using DTM and ADM in this study. At first, the governing differential equations of motion of fluid conveying Timoshenko pipeline in free vibration are derived. Parameter for the nondimensionalized multiplication factor for the fluid velocity is incorporated into the equations of motion in order to investigate its effects on the natural frequencies. For solution, the terms are found directly from the analytical solution of the differential equation that describes the deformations of the cross-section according to Timoshenko beam theory. After the analytical solution, the efficient and easy mathematical techniques called DTM and ADM are used to solve the governing differential equations of the motion, respectively. The calculated natural frequencies of fluid conveying Timoshenko pipelines with various combinations of boundary conditions using DTM and ADM are tabulated in several tables and figures and are compared with the results of Analytical Method (ANM) where a very good agreement is observed. Finally, the critical fluid velocities are calculated for different boundary conditions and the first five mode shapes are presented in graphs. | ||
| Key Words | ||
| adomian decomposition method; critical fluid velocity; differential transform method; fluid conveying pipeline; free vibration; natural frequencies | ||
| Address | ||
| Baran Bozyigit, Yusuf Yesilce and Seval Catal: Department of Civil Engineering, Dokuz Eylul University, 31560, Buca, Izmir, Turkey | ||