...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Free vibration analysis of cracked postbuckled plate
【24h】

Free vibration analysis of cracked postbuckled plate

机译：开裂后屈曲板的自由振动分析

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

In this paper, a methodology is introduced to address the free vibration analysis of cracked plate subjected to a uniaxial inplane compressive load for the first time. The crack, assumed to be open and at the edge is modeled by a massless linear rotational spring. The governing differential equations are derived using the Mindlin theory, taking into account the effect of initial imperfection. The response is assumed to be consisting of static and dynamic parts. For the static part, differential equations are discretized using the differential quadrature element method and resulting nonlinear algebraic equations are solved by an arc-length strategy. Assuming small amplitude vibrations of the plate about its buckled state and exploiting the static solution in the linearized vibration equations, the dynamic equations are converted into a non-standard eigenvalue problem. Finally, natural frequencies and modal shapes of the cracked buckled plate are obtained by solving this eigenvalue problem. To ensure the validity of the suggested approach an experimental setup and a numerical finite element model have been made to analyze the vibration of a cracked square plate with simply supported boundary conditions. Also, several case-studies of cracked buckled plate problem have been solved utilizing the proposed method, and effects of selected parameters have been studied. The results show that the applied load and geometric imperfection as well as the position, size and depth of the crack have different impact on natural frequencies of the plate.
机译：在本文中，引入了一种方法来首次解决裂纹板在单轴平面内压缩载荷下的自由振动分析。假定是开放的并且在边缘处的裂纹是通过无质量的线性旋转弹簧建模的。考虑到初始缺陷的影响，使用Mindlin理论推导了控制微分方程。假定响应由静态和动态部分组成。对于静态部分，使用微分正交元法离散化微分方程，并通过弧长策略求解所得的非线性代数方程。假设板在弯曲状态附近出现小振幅振动，并利用线性振动方程中的静态解，则将动力学方程转换为非标准特征值问题。最后，通过解决该特征值问题，获得了裂纹屈曲板的固有频率和模态形状。为了确保所建议方法的有效性，已经建立了实验装置和数值有限元模型，以分析带有简单支撑边界条件的开裂方板的振动。此外，利用该方法解决了裂纹屈曲板问题的若干案例研究，并研究了所选参数的影响。结果表明，施加的载荷和几何缺陷以及裂纹的位置，大小和深度对板的固有频率有不同的影响。

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