HU Chao, HAN Gang, FANG Xue-qian, HUANG Wen-hu. Flexural Wave Propagation in Narrow Mindlin’s Plate[J]. Applied Mathematics and Mechanics, 2006, 27(6): 701-708.
Citation: HU Chao, HAN Gang, FANG Xue-qian, HUANG Wen-hu. Flexural Wave Propagation in Narrow Mindlin’s Plate[J]. Applied Mathematics and Mechanics, 2006, 27(6): 701-708.

Flexural Wave Propagation in Narrow Mindlin’s Plate

  • Received Date: 2005-01-27
  • Rev Recd Date: 2006-02-23
  • Publish Date: 2006-06-15
  • Appling Mindlin's theory of thick plates and Hamilton formulism to propagation of elastic waves under free boundary condition,a solution of the problem was given.Dispersion equations of propagation mode of strip plates were deduced from eigenfunction expansion method.It was compared with the dispersion relation that was gained through solution of thick plate theory proposed by Mindlin.Based on the two kinds of theories,the dispersion curves show great difference in the region of short waves,and the cutoff frequencies are higher in Hamiltonian systems.However,the dispersion curves are almost the same in the region of long waves.
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  • [1]
    Reissner E. The effect of transverse shear deformation on the bending of elastic plates[J].Journal of Applied Mechanics,1945,12(2):69—77.
    [2]
    Reissner E. On the theory of transverse bending of elastic plates[J].Internal Journal of Solids and Structures,1976,12(8):545—554. doi: 10.1016/0020-7683(76)90001-9
    [3]
    Mindlin R D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates[J].Journal of Applied Mechanics,1951,18(2):31—38.
    [4]
    Pao Y H.Diffractions of flexural waves by a cavity in an elastic plate[J].J AIAA,1964,2(1):2000—2010.
    [5]
    Liu D K, Hu C. Scattering of flexural wave and dynamic stress concentrations in Mindlin's thick plates[J].Acta Mechanica Sinica,1996,12(2):69—185.
    [6]
    Narris Andrew N.Flexural waves on narrow plates[J].J Acoust Soc Amer,2003,113(5):2647—2658. doi: 10.1121/1.1561493
    [7]
    Xu P C,Datta S K.Guided waves in a bonded plate: a parametric study[J].Journal of Applied Physics,1990,67(11):6779—6786. doi: 10.1063/1.345065
    [8]
    Timoshenko S P,Goodier J N.Theory of Elasticity[M].London:McGraw-Hill, 1951,15—66.
    [9]
    钟万勰.弹性力学求解新体系[M].大连:大连理工大学出版社,1995,20—97.
    [10]
    钟万勰,姚伟岸.板弯曲求解新体系及其应用[J].力学学报,1999,31(2):173—184.
    [11]
    黄志询.截止波导理论导论[M].北京:中国计量出版社,1991,42—97.
    [12]
    胡海昌.弹性力学的变分原理及其应用[M].北京:科学出版社,1981,50—83.
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