欢迎光临《计算力学学报》官方网站!
 
弹性地基加肋功能梯度板自由振动分析的无网格法
Meshless Method for Free Vibration Analysis of Stiffened Functionally Graded Plates Resting on Elastic Foundation
投稿时间:2021-07-11  修订日期:2021-09-09
DOI:
中文关键词:  加肋功能梯度板  无网格  物理中面  弹性地基  自由振动
英文关键词:stiffened functionally graded plate  meshless method  physical neutral surface  elastic foundation  free vibration
基金项目:国家自然科学基金资助项目(NO:11562001),国家重点研发计划 (NO:2019YFC1511103) 和广西科技重大专项 (桂科NO:AA18118029)..
作者单位邮编
陈思亚 广西大学 土木建筑工程学院 530004
陈卫 广西大学 土木建筑工程学院 
黄钟民 广西大学 土木建筑工程学院 
彭林欣 广西大学 土木建筑工程学院 530004
摘要点击次数: 66
全文下载次数: 0
中文摘要:
      基于一阶剪切变形理论和移动最小二乘近似研究Winkler弹性地基上加肋功能梯度板的固有频率。假设功能梯度板的材料性质沿厚度方向按幂函数连续变化,基于物理中面和移动最小二乘近似分别推导功能梯度板和肋条动能和势能,再通过引入位移协调条件,建立板和肋条节点参数转换关系,叠加两者的总能量,然后利用Hamilton原理推导加肋功能梯度板自由振动控制方程。采用完全转换法施加边界条件。通过将本文的计算结果与有限元以及文献的结果对比,验证方法的收敛性以及准确性。
英文摘要:
      Based on the first-order shear deformation theory (FSDT), the natural frequency of stiffened functionally graded plate resting on Winkler elastic foundation is studied by moving-least squares(MLS) approximation meshless method. It is assumed that the material properties of functionally graded plates change continuously with power function along the thickness direction. The kinetic energy and potential energy of the functionally graded plate and those of ribs are derived by the physical neutral surface and moving-least squares approximation, respectively. The total energy of the plate and those of ribs were superposed by applying the displacement compatibility conditions. Then, the equation governing free vibration of stiffened functionally graded plate is derived by Hamilton principle. The boundary condition is imposed by full transformation method. The convergence and accuracy of the method are verified by comparing the results of this paper with those of finite element method (FEM) and literatures.
  查看/发表评论  下载PDF阅读器
您是第9329097位访问者
版权所有:《计算力学学报》编辑部
本系统由 北京勤云科技发展有限公司设计