Abstract Quasi-Green's function approach to free vibration analysis of elastically supported functionally graded circular plates
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Composite Structures >Quasi-Green's function approach to free vibration analysis of elastically supported functionally graded circular plates
【24h】

Quasi-Green's function approach to free vibration analysis of elastically supported functionally graded circular plates

机译：拟格林函数法对弹性支撑的功能梯度圆板的自由振动进行分析

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

AbstractThe analysis and numerical results regarding free vibrations of functionally graded circular plates elastically supported on a concentric ring are presented on the basis of the classical plate theory. The quasi-Green’s function was employed to solve the boundary value problem of the free vibrations of functionally graded circular plates with clamped, free and simply supported edges. The influence of the boundary conditions, the volume fraction index, the position and the stiffness of ring supports on natural frequencies of circular plates was studied comprehensively. Dimensionless frequencies for singularities that emerge when the support radius approaches zero are calculated for different values of the volume fraction index. The quasi-Green’s function method enables obtaining non-linear characteristic equations that are functionally dependent on the volume fraction index, the position and the stiffness of elastic supports or other discrete elements without the necessity to consider a new boundary value problem or find scaling factors. The presented investigation has not been hitherto reported. The exact frequencies of vibrations presented in the non-dimensional form can serve as benchmark values for researchers to validate their numerical methods applied in the frequency analysis of functionally graded circular plates.
机译： 摘要 在经典平板的基础上，介绍了弹性支撑在同心环上的功能梯度圆形平板的自由振动的分析和数值结果理论。拟格林函数用于解决带固定，自由和简单支撑边的功能梯度圆板的自由振动的边值问题。全面研究了边界条件，体积分数指数，环支撑的位置和刚度对圆板固有频率的影响。对于体积分数指数的不同值，计算了当支撑半径接近零时出现的奇异点的无量纲频率。拟格林函数方法可以获取非线性特征方程，这些方程在功能上取决于体积分数指数，弹性支撑件或其他离散元件的位置和刚度，而无需考虑新的边界值问题或找到比例因子。迄今尚未报告所提出的调查。无量纲形式的振动的确切频率可以作为基准值，供研究人员验证其用于功能梯度圆板频率分析的数值方法。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号