Free Vibration Analysis of the Tube-In-Tube Tall Buildings with the Differential Transform Method

2014 ◽  
Vol 17 (9) ◽  
pp. 1271-1279 ◽  
Author(s):  
K.B. Bozdogan ◽  
D. Ozturk
2018 ◽  
Vol 18 (02) ◽  
pp. 1850024 ◽  
Author(s):  
Mostafa Nourifar ◽  
Ali Keyhani ◽  
Ahmad Aftabi Sani

In this paper, the free vibration analysis of non-uniform rotating Euler–Bernoulli beam is carried out. It is assumed that the beam has exponentially decaying circular cross-section. In order to solve the problem, the differential transform method (DTM) is utilized. Based on our knowledge, we claim that the recurrence relation presented herein is an elaborate recurrence relation which has been obtained for ordinary differential equations. Non-dimensional natural frequencies of the beam are obtained and tabulated for different values of the beam parameters such as taper ratio and rotating speed. Furthermore, the finite element method (FEM) is employed to solve the problem. Comparison of the results obtained by DTM and FEM indicates the accuracy of proposed solutions.


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