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首页> 外文期刊>International journal of computational methods >In-Plane Free Vibration of Circular and Annular FG Disks
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In-Plane Free Vibration of Circular and Annular FG Disks

机译：圆形和环形FG磁盘的平面自由振动

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摘要

The analysis of the in-plane free vibration of the circular and annular FG disks by a meshfree boundary-domain integral equation method is presented in this paper. The material properties of the disks are assumed to vary in the radial direction obeying an exponential law. Based on the two-dimensional linear elastic theory, the motion equations of the FG disks are derived by using the static fundamental solutions. Radial integration method as an efficient tool is adopted to treat the domain integrals which are raised due to the material inhomogeneous and inertial effects. The natural frequencies and associate mode shapes are calculated for the FG disks with combinations of free and clamped boundary conditions. Parametric studies are also conducted to study the effects of the material gradients, radius ratios and boundary conditions on the frequency of the FG disks.
机译：本文介绍了网上边界域整体方程方法对圆形和环形FG盘的平面内自由振动的分析。 假设磁盘的材料特性在径向方向上遵循指数律法而变化。 基于二维线性弹性理论，通过使用静态基本解决方案来导出FG盘的运动方程。 采用径向集成方法作为一种有效的工具来治疗由于材料不均匀和惯性效应而导致的域积分。 为具有自由和夹紧边界条件的组合计算FG磁盘的自然频率和关联模式形状。 还进行了参数研究以研究材料梯度，半径比和边界条件对FG磁盘频率的影响。

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