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边缘转动受弹性限制矩形板横向振动固有频率的一个近似解法

周叮

周叮. 边缘转动受弹性限制矩形板横向振动固有频率的一个近似解法[J]. 应用数学和力学, 1996, 17(5): 433-438.
引用本文: 周叮. 边缘转动受弹性限制矩形板横向振动固有频率的一个近似解法[J]. 应用数学和力学, 1996, 17(5): 433-438.
Zhou Ding. An Approximate Solution of Eigen-Frequencies of Transverse Vibration of Rectangular Plates with Elastical Restraints[J]. Applied Mathematics and Mechanics, 1996, 17(5): 433-438.
Citation: Zhou Ding. An Approximate Solution of Eigen-Frequencies of Transverse Vibration of Rectangular Plates with Elastical Restraints[J]. Applied Mathematics and Mechanics, 1996, 17(5): 433-438.

边缘转动受弹性限制矩形板横向振动固有频率的一个近似解法

An Approximate Solution of Eigen-Frequencies of Transverse Vibration of Rectangular Plates with Elastical Restraints

  • 摘要: 本文给出了边缘转动受弹性限制矩形板横向振动固有频率的一个近似解法,不但公式简单易程序化,而且有着较高的精度,本文最后给出了一些算例,并与已有结果作了比较。
  • [1] P.A.A.Laura,et al.,A note on the determination of the fundamental frequency of vibration of thin rectangular plates with edges prossessing different rotational flexibility coefficients,J.Sound and Vibration,55 (1977),327-333.
    [2] P.A.A.Laura,et al.,Transverse vibration of a rectangular plate elastically restrained against rotation along three edges and free on the fourth edge.J.Sound and Vibration,59(1978),355-368.
    [3] C.P.Filipich,et al.,Free vibrations of rectangular plates elastically restrained against rotation and translation simultaneously at the four edges,J.Sound and Vibration,56(1978),299-302.
    [4] P.A.A.Laura,et al.,Transverse vibrations of rectangular plates with edges elastically restrained against translation and rotation J.Sound and Vibration,75 (1981),101-108.
    [5] P.A.A.Laura,et al.,On the effect of different edge flexibility coefficients on transverse vibrations of thin rectangular plates,J.Sound and Vibration,57 (1978),333-340.
    [6] G.B.VVarburton,et al.,Vibrations of rectangular plates with elastically restrained edges,J.Sound and Vibration,95 (1984),537-552.
    [7] M.Mukhopadhyay,Free vibration of rectangular plates with edges having different degrees of rotational restraint,J.Sound and Vibration,67 (1979),459-468.
    [8] M.Mukhopadhyay,A semi-analytic solution for free vibration of rectangular plates,J.Sound and Vibration,60 (1978),71-85.
    [9] A.W.Leissa,The free vibration of rectangular plates,J.Sound and Vibration,31 (1973),257-393.
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出版历程
  • 收稿日期:  1994-06-30
  • 刊出日期:  1996-05-15

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