...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Shock and vibration >A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges
【24h】

A Series Solution for the Vibration of Mindlin Rectangular Plates with Elastic Point Supports around the Edges

机译：边缘带有弹性点支撑的Mindlin矩形板振动的系列解决方案

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

A series solution for the transverse vibration of Mindlin rectangular plates with elastic point supports around the edges is studied. The series solution for the problem is obtained using improved Fourier series method, in which the vibration displacements and the cross-sectional rotations of the midplane are represented by a double Fourier cosine series and four supplementary functions. The supplementary functions are expressed as the combination of trigonometric functions and a single cosine series expansion and are introduced to remove the potential discontinuities associated with the original admissible functions along the edges when they are viewed as periodic functions defined over the entire - plane. This series solution is approximately accurate in the sense that it explicitly satisfies, to any specified accuracy, both the governing equations and the boundary conditions. The convergence, accuracy, stability, and efficiency of the proposed method have been examined through a series of numerical examples. Some numerical examples about the nondimensional frequency and mode shapes of Mindlin rectangular plates with different point-supported edge conditions are given.
机译：研究了在边缘具有弹性点支撑的Mindlin矩形板的横向振动的级数解。使用改进的傅立叶级数方法获得了该问题的级数解，其中中平面的振动位移和横截面旋转由双傅立叶余弦级数和四个补充函数表示。补充函数表示为三角函数和单个余弦级数展开的组合，当将它们视为在整个平面上定义的周期函数时，引入该函数是为了消除与沿边缘的原始可允许函数相关的潜在不连续性。从明确满足控制方程式和边界条件到任何指定的精度的意义上来说，该级数解是近似准确的。通过一系列数值例子对所提方法的收敛性，准确性，稳定性和效率进行了研究。给出了有关点支撑边缘条件不同的Mindlin矩形板的无量纲频率和振型的数值例子。

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