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

被引：26

作者：

Nourifar, Mostafa ^{[1
]}

Keyhani, Ali ^{[1
]}

Sani, Ahmad Aftabi ^{[2
]}

机构：

[1] Shahrood Univ Technol, Dept Civil Engn, Shahrood, Iran

[2] Ferdowsi Univ Mashhad, Dept Civil Engn, Mashhad, Iran

来源：

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS | 2018年 / 18卷 / 02期

关键词：

Euler-Bernoulli beam; rotating beam; differential transform method; exponentially tapered; non-dimensional natural frequency; FINITE-ELEMENT-METHOD; DYNAMIC STIFFNESS METHOD; RAYLEIGH-RITZ METHOD; TIMOSHENKO BEAM; TAPERED BEAMS; INTEGRODIFFERENTIAL EQUATIONS; QUADRATURE METHODS; CANTILEVER BEAM; UNIFORM; BLADES;

D O I：

10.1142/S0219455418500244

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In this paper, the free vibration analysis of non-uniform rotating EulerBernoulli 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.

引用

页数：27

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