Analytical Solution for Free Vibrations of Elastodynamic Problem in Orthotropic Hollow Sphere Under the Influence of Rotation

被引：14
|
作者：
Mahmoud, S. R. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Sohag Univ, Fac Sci, Dept Math, Sohag 82524, Egypt
来源：
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2014年 / 11卷 / 01期
关键词：
Rotation; Elastodynannic Equations; Orthotropic; Free Vibrations; Hollow Sphere; INITIAL STRESS; RADIAL VIBRATIONS; MAGNETIC-FIELD; TRANSIENT-RESPONSES; INFINITE CYLINDER; ELASTIC CYLINDER; WAVE-PROPAGATION; NONHOMOGENEITY; MOTION;
D O I：
10.1166/jctn.2014.3328
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In this paper, the effect of rotation on the free vibrations for elastodynamic equations of orthotropic hollow sphere is investigated. The propagation of free vibrations is discussed on the basis of the linear theory of elasticity. The determination is concerned with the eigenvalues of the natural frequency for different boundary conditions. The numerical results of the frequency equations are discussed. Comparisons are made with the result in the present and absence of rotation in case of hollow sphere and hollow cylinder. The results indicate that the effect rotation in orthotropic hollow sphere is very pronounced.
引用
收藏
页码：137 / 146
页数：10
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