Rayleigh lamb waves in micropolar isotropic elastic plate

被引:26
|
作者
Kumar, Rajneesh [1 ]
Partap, Geeta
机构
[1] Kurukshetra Univ, Dept Math, Kurukshetra 136119, Haryana, India
[2] Deemed Univ, Dr BR Ambedkar Natl Inst Technol, Dept Math Appl, Jalandhar 144011, Punjab, India
关键词
micropolar elastic plate; circular crested waves; secular equations; phase velocity; amplitudes;
D O I
10.1007/s10483-006-0805-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The propagation of waves in a homogeneous isotropic micropolar elastic cylindrical plate subjected to stress free conditions is investigated. The secular equations for symmetric and skew symmetric wave mode propagation are derived. At short wave limit, the secular equations for symmetric and skew symmetric waves in a stress free circular plate reduces to Rayleigh surface wave frequency equation. Thin plate results are also obtained. The amplitudes of displacements and microrotation components are obtained and depicted graphically. Some special cases are also deduced from the present investigations. The secular equations for symmetric and skew symmetric modes are also presented graphically.
引用
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页码:1049 / 1059
页数:11
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