微极各向同性弹性板中的Rayleigh-Lamb波

R·库玛; G·帕塔泊

微极各向同性弹性板中的Rayleigh-Lamb波

R·库玛¹,
G·帕塔泊²

1.
库鲁克西察大学数学系,库鲁克西察 136119,那亚那,印度;2.恩伯德卡国家工艺大学应用数学系,加兰德哈 144011,庞加伯,印度

详细信息

作者简介:
R·库玛(联系人.E-mail:rajneesh_kuk@rediffmail.com).

中图分类号: O326
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出版历程
- 收稿日期: 2005-08-21
- 修回日期: 2006-02-13
- 刊出日期: 2006-08-15

Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate

Rajneesh Kumar¹,
Geeta Partap²

1.
Department of Mathematics, Kurukshetra University, Kurukshetra 136119, Haryana, India;

摘要

摘要: 研究了无应力作用条件下，均匀、各向同性、圆柱形微极结构弹性板中波的传播．导出了对称和斜对称模式下波传播的特征方程．对短波这一极端情况，无应力圆板中对称和斜对称模态波的特征方程退化为Rayleigh表面波频率方程．并得到薄板的计算结果．给出了位移和微转动分量，并绘制了相应图形．给出了若干特殊情况的研究结果及对称和斜对称模态特征方程的图示．
- 微极弹性板 /
- 环形峰波 /
- 特征方程 /
- 相速度 /
- 振幅
Abstract: 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 were 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 amplitude 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.
- micropolar elastic plate /
- circular crested waves /
- secular equations /
- phase velocity /
- amplitudes

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参考文献(19)

[1]	Eringen A C.Linear theory of micropolar elasticity[J].J Math Mech,1966,15(6):909—923.
[2]	Eringen A C.Theory of micropolar fluids[J].J Math Mech,1966,16:1—18.
[3]	Eringen A C.Non-Local Polar Field Theories in Continuum Physics[M].New York: Academic Press, 1976,205—267.
[4]	Eringen A C.Microcontinuum Field Theories, Foundations and Solids[M].New York:Springer-Verlag,Inc,1999.
[5]	Eringen A C.Microcontinuum Field Theories, Fluent Media[M].New York: Springer-Verlag,Inc,2001.
[6]	Eringen A C.Nonlocal Continuum Field Theories[M].New York:Springer-Verlag,Inc,1999.
[7]	Nowacki W,Nowacki W K. Generation of waves in an infinite micropolar elastic solidsⅠ,Ⅱ[J].Bull Acad Polon Sci Ser Sci Techn,1969,17(2):75—81,83—89.
[8]	Bannerji D K,Sengupta P R.Micropolar elastic waves in a cylindrical bore containing a fluid Ⅰ,Ⅱ[J].Bull Acad Polon Sci Ser Sci Techn,1977,25:257—262,263—270.
[9]	Rao K M, Rao B K. Longitudinal wave propagation in a micropolar wave guide of circular cross-section[J].Lett Appl Engng Sci,1983,21(9):1137—1144.
[10]	Rao K M. Longitudinal wave propagation in a micropolar wave guide[J]. Internat J Engng Sci,1988,26(2):135—144. doi: 10.1016/0020-7225(88)90100-0
[11]	Rao K M, Reddy M P.Rayleigh type wave propagation on a micropolar cylindrical surface[J].J Appl Mech,1993,60:857—865. doi: 10.1115/1.2900994
[12]	Kumar R,Singh B. Wave propagation in a micropolar generalized thermoelastic body with stretch[J].Proc Indian Acad Sci,Math Sci,1996,106:183—199. doi: 10.1007/BF02837172
[13]	Kumar R, Deswal S. Wave propagation through cylindrical bore contained in a microstretch elastic medium[J].Journal of Sound and Vibration,2002,250:711—722. doi: 10.1006/jsvi.2001.3925
[14]	Kumar R, Tomer S K. Elastic wave propagation in a cylindrical bore situated in a micropolar elastic medium with stretch[J].Proc Indian Acad Sci, Math Sci,1999,109:425—433. doi: 10.1007/BF02838003
[15]	Kumar R,Choudhary S. Response of orthotropic micropolar elastic medium due to time harmonic source[J].Sadhana,2004,29(1):83—92. doi: 10.1007/BF02707002
[16]	Kumar R,Ailawalia P.Effects of viscosity with moving load at micropolar boundary surface[J].Internat J Appl Mech Engrg,2005,10(1):95—108.
[17]	Eringen A C.Theory of micropolar elasticity[A].In: Leibowitz H, Ed.Fracture[C].Vol Ⅱ,New York :Academic Press, 1968.
[18]	Lamb H.On waves in an elastic plate[J].Phil Trans Roy Soc, London, Ser A,1917,93:114—128.
[19]	Graff K F.Wave Motion in Elastic Solids[M].New York: Dover Publications, Inc 1991.