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微极各向同性弹性板中的Rayleigh-Lamb波

R·库玛 G·帕塔泊

R·库玛, G·帕塔泊. 微极各向同性弹性板中的Rayleigh-Lamb波[J]. 应用数学和力学, 2006, 27(8): 913-922.
引用本文: R·库玛, G·帕塔泊. 微极各向同性弹性板中的Rayleigh-Lamb波[J]. 应用数学和力学, 2006, 27(8): 913-922.
Rajneesh Kumar, Geeta Partap. Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate[J]. Applied Mathematics and Mechanics, 2006, 27(8): 913-922.
Citation: Rajneesh Kumar, Geeta Partap. Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate[J]. Applied Mathematics and Mechanics, 2006, 27(8): 913-922.

微极各向同性弹性板中的Rayleigh-Lamb波

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

Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate

  • 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.
  • [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.
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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

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