WAVE PROPAGATION ANALYSIS IN BEAMS USING SHEAR DEFORMABLE BEAM THEORIES CONSIDERING SECOND SPECTRUM

被引：12

作者：

Gul, U. ^{[1
]}

Aydogdu, M. ^{[1
]}

机构：

[1] Trakya Univ, Dept Mech Engn, Edirne, Turkey

来源：

JOURNAL OF MECHANICS | 2018年 / 34卷 / 03期

关键词：

Wave propagation; Timoshenko beam theory; Reddy beam theory; Second spectrum; TIMOSHENKO BEAM; FREQUENCY-SPECTRUM; CARBON NANOTUBES; ACCURACY;

D O I：

10.1017/jmech.2017.27

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this study, wave propagation in beams is studied using different beam theories like Euler-Bernoulli, Timoshenko and Reddy beam theories. Dispersion curves obtained for these beam theories are compared with the exact plane elasticity solutions. It is obtained that, there are two branches for Reddy beam theory similar to the Timoshenko beam theory. However, one branch is obtained for Euler-Bernoulli beam theory. The effects of in-plane load on Timoshenko and Reddy beam theories are examined and dispersion curves of the Timoshenko and Reddy beams are compared with exact plane elasticity solution. In Timoshenko beam theory, qualitative difference between the two spectrums has been lost with in-plane loads for some wave numbers.

引用

页码：279 / 289

页数：11

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