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旋转功能梯度圆柱壳的固有频率计算

项松 李广超 张魏 杨明绥

项松, 李广超, 张魏, 杨明绥. 旋转功能梯度圆柱壳的固有频率计算[J]. 应用数学和力学, 2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006
引用本文: 项松, 李广超, 张魏, 杨明绥. 旋转功能梯度圆柱壳的固有频率计算[J]. 应用数学和力学, 2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006
Natural Frequency of Rotating Functionally Graded Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006
Citation: Natural Frequency of Rotating Functionally Graded Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2012, 33(3): 332-341. doi: 10.3879/j.issn.1000-0887.2012.03.006

旋转功能梯度圆柱壳的固有频率计算

doi: 10.3879/j.issn.1000-0887.2012.03.006
详细信息
    通讯作者:

    项松(1978—),男,辽宁灯塔人,讲师,硕士(联系人.Tel:+86-24-89728667;E-mail: xiangs@sau.edu.cn).

  • 中图分类号: O326

Natural Frequency of Rotating Functionally Graded Cylindrical Shells

  • 摘要: Love的一阶理论被用来计算旋转功能梯度圆柱壳的固有频率, 为了验证该方法的有效性,计算了简支不旋转各向同性和功能梯度圆柱壳的固有频率,计算结果与相关文献中的结果具有较好的一致性.通过几个数值算例,研究了幂指数、x和θ方向的波数、厚度-半径比对简支旋转功能梯度圆柱壳固有频率的影响.结果表明:后向波的固有频率随着转速的增加而增加,前向波的固有频率随着转速的增加而减小,前向波和后向波的固有频率随着厚度-半径比增加而增加.
  • [1] Li S R, Fu X H, Batra R C. Free vibration of three-layer circular cylindrical shells with functionally graded middle layer[J].Mechanics Research Communications, 2010, 37(6): 577-580.
    [2] Sepiani H A, Rastgoo A, Ebrahimi F, Arani A G. Vibration and buckling analysis of two-layered functionally graded cylindrical shell, considering the effects of transverse shear and rotary inertia[J].Materials & Design, 2010, 31(3): 1063-1069.
    [3] Matsunaga H. Free vibration and stability of functionally graded circular cylindrical shells according to a 2D higher-order deformation theory[J].Composite Structures, 2009, 88(4): 519-531.
    [4] Pradhan S C, Loy C T, Lam K Y, Reddy J N. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions[J].Applied Acoustics, 2000, 61(1): 111-129.
    [5] Vel S S. Exact elasticity solution for the vibration of functionally graded anisotropic cylindrical shells[J].Composite Structures, 2010, 92(11): 2712-2727.
    [6] Zhao X, Liew K M, Ng T Y. Vibrations of rotating cross-ply laminated circular cylindrical shells with stringer and ring stiffeners[J].International Journal of Solids and Structures, 2002, 39(2): 529-545.
    [7] Civalek , Gürses M. Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique[J].International Journal of Pressure Vessels and Piping, 2009, 86(10): 677-683.
    [8] Liew K M, Ng T Y, Zhao X, Reddy J N. Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells[J].Computer Methods in Applied Mechanics and Engineering, 2002, 191(37/38): 4141-4157.
    [9] Civalek . A parametric study of the free vibration analysis of rotating laminated cylindrical shells[J].Thin-Walled Structures, 2007, 45(7/8): 692-698.
    [10] Hua L, Lam K Y. Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method[J].International Journal of Mechanical Sciences, 1998, 40(5): 443-459.
    [11] Zhang X M. Parametric analysis of frequency of rotating laminated composite cylindrical shells with the wave propagation approach[J].Computer Methods in Applied Mechanics and Engineering, 2002, 191(19/20): 2057-2071.
    [12] Lam K Y, Loy C T. On vibrations of thin rotating laminated composite cylindrical shells[J].Composites Engineering, 1994, 4(11): 1153-1167.
    [13] Lam K Y, Loy C T. Free vibrations of a rotating multilayered cylindrical shell[J].International Journal of Solids and Structures, 1995, 32(5): 647-463.
    [14] Loy C T, Lam K Y, Reddy J N. Vibration of functionally graded cylindrical shells[J].International Journal of Mechanical Sciences, 1999, 41: 309-324.
    [15] Warburton G B. Vibration of thin cylindrical shells[J].Journal of Mechanical Engineering Science, 1965, 7: 399-407.
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出版历程
  • 收稿日期:  2011-07-20
  • 修回日期:  2011-12-04
  • 刊出日期:  2012-03-15

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