正交异性材料
振动
幂级数
数学分析
微分方程
圆柱坐标系
系列(地层学)
数学
物理
有限元法
声学
生物
热力学
古生物学
作者
Fang-Hui Chou,Jan Drewes Achenbach
出处
期刊:Journal of the Engineering Mechanics Division
[American Society of Civil Engineers]
日期:1972-08-01
卷期号:98 (4): 813-822
被引量:27
标识
DOI:10.1061/jmcea3.0001639
摘要
A method to analyze the three-dimensional vibrations of orthotropic cylinders is presented. The field equations are in the form of three coupled, second-order differential equations with nine elastic constants. The vibration problem is solved by means of the Frobenius method, using power series expansion in the radial coordinate, and assuming sinusoidal dependence on the longitudinal and circumferential coordinates and on time. Frequency equation for the free vibration of solid circular cylinders is derived and a numerical example is given. An extensive study of the dynamic behavior of orthotropic cylinders can be made by this analysis.
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