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Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

机译:弹性基础上充液的功能梯度圆柱壳的振动研究

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Vibrational characteristics of functionally graded cylindrical shells filled with fluid and placed on Winkler and Pasternak elastic foundations are investigated. Love's thin-shell theory is utilized for strain-displacement and curvature-displacement relationships. Shell dynamical equations are solved by using wave propagation approach. Natural frequencies for both empty and fluid-filled functionally graded cylindrical shells based on elastic foundations are determined for simply-supported boundary condition and compared to validate the present technique. Results obtained are in good agreement with the previous studies. It is seen that the frequencies of the cylindrical shells are affected much when the shells are filled with fluid, placed on elastic foundations, and structured with functionally graded materials. The influence of Pasternak foundation is more pronounced than that of Winkler modulus.
机译:研究了功能梯度圆柱壳的振动特性,该圆柱壳充满了流体并置于Winkler和Pasternak弹性地基上。 Love的薄壳理论用于应变位移和曲率位移关系。壳动力学方程采用波传播方法求解。对于简单支撑的边界条件,确定了基于弹性基础的空的和流体填充的功能梯度圆柱壳的固有频率,并进行了比较以验证本技术。获得的结果与以前的研究非常吻合。可以看出,当圆柱壳中充满流体,置于弹性地基上并由功能渐变材料构成时,圆柱壳的频率会受到很大影响。 Pasternak基础的影响比Winkler模量的影响更为明显。

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