Study on modified differential transform method for free vibration analysis of uniform Euler-Bernoulli beam

2013 ◽  
Vol 48 (5) ◽  
pp. 697-709 ◽  
Author(s):  
Zhifeng Liu ◽  
Yunyao Yin ◽  
Feng Wang ◽  
Yongsheng Zhao ◽  
Ligang Cai
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Differential Transform Method ◽  
Bernoulli Beam ◽  
Transform Method ◽  
Differential Transform ◽  
Euler Bernoulli Beam

Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method

2018 ◽  
Vol 18 (02) ◽  
pp. 1850024 ◽  
Author(s):  
Mostafa Nourifar ◽  
Ali Keyhani ◽  
Ahmad Aftabi Sani
Keyword(s):  
Free Vibration ◽  
Recurrence Relation ◽  
Cross Section ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Differential Transform Method ◽  
Bernoulli Beam ◽  
Transform Method ◽  
Differential Transform ◽  
Euler Bernoulli Beam

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.

Sign in / Sign up

Export Citation Format

Share Document