...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Thermal buckling of clamped thin rectangular FGM plates resting on Pasternak elastic foundation (Three approximate analytical solutions)
【24h】

Thermal buckling of clamped thin rectangular FGM plates resting on Pasternak elastic foundation (Three approximate analytical solutions)

机译：固定在Pasternak弹性地基上的矩形FGM薄板的热屈曲（三种近似解析解）

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

Buckling of rectangular plates made of functionally graded material (FGM) under various types of thermal loading is considered. It is assumed that the plate is in contact with an elastic foundation during deformation. The derivation of equations is based on the classical plate theory. It is assumed that the mechanical and thermal non-homogeneous properties of FGM plate vary smoothly by distribution of power law across the plate thickness. Using the non-linear strain-displacement relations, the equilibrium and stability equations of plates made of FGMs are derived. The boundary conditions for the plate are assumed to be clamped for all edges. The elastic foundation is modelled by two parameters Pasternak model, which is obtained by adding a shear layer to the Winkler model. Three distinct analytical solutions are presented to study the thermal buckling problem of thin FGM plates. These methods may be useful to study the eigenvalue problems for other loading types of FGM plates. Closed-form solutions are presented and effects of various parameters, such as geometric characteristics and Pasternak elastic coefficients, are presented comprehensively. Buckling of rectangular plates made of functionally graded material (FGM) under various types of thermal loading is considered. It is assumed that the plate is in contact with an elastic foundation during deformation. The derivation of equations is based on the classical plate theory. It is assumed that the mechanical and thermal non-homogeneous properties of FGM plate vary smoothly by distribution of power law across the plate thickness. Using the non-linear strain-displacement relations, the equilibrium and stability equations of plates made of FGMs are derived. The boundary conditions for the plate are assumed to be clamped for all edges. The elastic foundation is modelled by two parameters Pasternak model, which is obtained by adding a shear layer to the Winkler model.
机译：考虑了在各种热负荷下由功能梯度材料（FGM）制成的矩形板的屈曲。假定板在变形过程中与弹性基础接触。方程的推导基于经典板理论。假设FGM板的机械和热非均质特性通过整个板厚度上的幂律分布而平滑变化。利用非线性应变-位移关系，推导了由FGM制成的板的平衡和稳定性方程。假定板的边界条件对于所有边缘都是固定的。弹性基础是通过两个参数Pasternak模型建模的，该模型是通过在Winkler模型中添加一个剪切层而获得的。提出了三种不同的分析解决方案来研究薄FGM板的热屈曲问题。这些方法对于研究其他加载类型的FGM板的特征值问题可能有用。给出了闭式解，并全面介绍了各种参数的影响，例如几何特性和帕斯捷尔纳克弹性系数。考虑了在各种热负荷下由功能梯度材料（FGM）制成的矩形板的屈曲。假定板在变形过程中与弹性基础接触。方程的推导基于经典板理论。假设FGM板的机械和热非均质特性通过整个板厚度上的幂律分布而平滑变化。利用非线性应变-位移关系，推导了由FGM制成的板的平衡和稳定性方程。假定板的边界条件对于所有边缘都是固定的。弹性基础是通过两个参数Pasternak模型建模的，该模型是通过在Winkler模型中添加一个剪切层而获得的。

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