Title : ( Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method )
Authors: M. Nourifar , A. Keyhani , Ahmad Aftabi Sani ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
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.
Keywords
, Euler–Bernoulli beam; rotating beam; differential transform method; exponentially tapered; non, dimensional natural frequency
@article{paperid:1063655,
author = {M. Nourifar and A. Keyhani and Aftabi Sani, Ahmad},
title = {Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method},
journal = {International Journal of Structural Stability and Dynamics},
year = {2018},
volume = {18},
number = {2},
month = {January},
issn = {0219-4554},
pages = {1850024--1850024},
numpages = {0},
keywords = {Euler–Bernoulli beam; rotating beam; differential transform method; exponentially
tapered; non-dimensional natural frequency},
}
%0 Journal Article
%T Free Vibration Analysis of Rotating Euler–Bernoulli Beam with Exponentially Varying Cross-Section by Differential Transform Method
%A M. Nourifar
%A A. Keyhani
%A Aftabi Sani, Ahmad
%J International Journal of Structural Stability and Dynamics
%@ 0219-4554
%D 2018
