首页> 外文期刊>Latin American Journal of Solids and Structures >Three dimensional Free Vibration and Transient Analysis of Two Directional Functionally Graded Thick Cylindrical Panels Under Impact Loading
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Three dimensional Free Vibration and Transient Analysis of Two Directional Functionally Graded Thick Cylindrical Panels Under Impact Loading

机译:冲击载荷作用下两个定向功能梯度厚圆柱板的三维自由振动和瞬态分析

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AbstractIn this paper three dimensional free vibration and transient response of a cylindrical panel made of two directional functionally graded materials (2D-FGMs) based on three dimensional equations of elasticity and subjected to internal impact loading is considered. Material properties vary through both radial and axial directions continuously. The 3D graded finite element method (GFEM) based on Rayleigh-Ritz energy formulation and Newmark direct integration method has been applied to solve the equations in space and time domains. The fundamental normalized natural frequency, time history of displacements and stresses in three directions and velocity of radial stress wave propagation for various values of span angel of cylindrical panel and different power law exponents have been investigated. The present results show that using 2D-FGMs leads to a more flexible design than conventional 1D-FGMs. The GFEM solution have been compared with the results of an FG thick hollow cylinder and an FG curved panel, where a good agreement between them is observed.
机译:摘要:本文基于二维三维弹性方程,考虑了内部冲击载荷,研究了由两种定向功能梯度材料(2D-FGM)制成的圆柱面板的三维自由振动和瞬态响应。材料特性沿径向和轴向连续变化。基于Rayleigh-Ritz能量公式和Newmark直接积分方法的3D梯度有限元方法(GFEM)已被用于求解时域方程。研究了圆柱板跨度角的各种取值和不同幂律指数的基本归一化固有频率,三个方向位移和应力的时程以及径向应力波的传播速度。目前的结果表明,使用2D-FGM比传统的1D-FGM更具灵活性。已将GFEM解决方案与FG厚空心圆柱体和FG弯曲面板的结果进行了比较,发现它们之间有很好的一致性。

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