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首页> 外文期刊>Mathematical Problems in Engineering >Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation
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Free Vibration of Layered Circular Cylindrical Shells of Variable Thickness Using Spline Function Approximation

机译：样条函数逼近的变厚度层状圆柱壳的自由振动

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摘要

Free vibration of layered circular cylindrical shells of variable thickness is studied using spline function approximation by applying a point collocation method. The shell is made up of uniform layers of isotropic or specially orthotropic materials. The equations of motions in longitudinal, circumferential and transverse displacement components, are derived using extension of Love's first approximation theory. The coupled differential equations are solved using Bickley-type splines of suitable order, which are cubic and quintic, by applying the point collocation method. This results in the generalized eigenvalue problem by combining the suitable boundary conditions. The effect of frequency parameters and the corresponding mode shapes of vibration are studied with different thickness variation coefficients, and other parameters. The thickness variations are assumed to be linear, exponential, and sinusoidal along the axial direction. The results are given graphically and comparisons are made with those results obtained using finite element method.
机译：应用点配点法，通过样条函数逼近研究了厚度可变的层状圆柱壳的自由振动。壳体由各向同性或特别是正交异性材料的均匀层组成。纵向，圆周和横向位移分量中的运动方程式是使用Love的一阶近似理论的扩展导出的。通过应用点配置方法，使用立方和五阶的适当阶数的Bickley型样条来求解耦合的微分方程。通过组合合适的边界条件，这会导致广义特征值问题。研究了不同厚度变化系数和其他参数的频率参数和相应振型的影响。假定厚度变化沿轴向是线性的，指数的和正弦的。结果以图形方式给出，并且与使用有限元方法获得的结果进行比较。

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  • 来源
    《Mathematical Problems in Engineering》 |2010年第3期|p.119-132|共14页
  • 作者

    K. K. Viswanathan; Kyung Su Kim; Kyung Ho Lee; Jang Hyun Lee;

  • 作者单位

    Department of Naval Architecture & Ocean Engineering, Inha University, 253 Yonghyun-dong, Nam-gu, Incheon 402-751, Republic of Korea;

    Department of Naval Architecture & Ocean Engineering, Inha University, 253 Yonghyun-dong, Nam-gu, Incheon 402-751, Republic of Korea;

    Department of Naval Architecture & Ocean Engineering, Inha University, 253 Yonghyun-dong, Nam-gu, Incheon 402-751, Republic of Korea;

    Department of Naval Architecture & Ocean Engineering, Inha University, 253 Yonghyun-dong, Nam-gu, Incheon 402-751, Republic of Korea;

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