...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of non-linear mechanics >Large-deflection and post-buckling analyses of isotropic rectangular plates by Carrera Unified Formulation
【24h】

Large-deflection and post-buckling analyses of isotropic rectangular plates by Carrera Unified Formulation

机译：用Carrera统一公式分析各向同性矩形板的大挠度和屈曲

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

Accurate predictions of the in-service nonlinear response of highly flexible structures in the geometrically nonlinear regime are of paramount importance for their design and failure evaluation. This paper develops a unified formulation of full geometrically nonlinear refined plate theory in a total Lagrangian approach to investigate the large-deflection and post-buckling response of isotropic rectangular plates. Based on the Carrera Unified Formulation (CUF), various kinematics of two-dimensional plate structures are consistently implemented via an index notation and an arbitrary expansion function of the generalized variables in the thickness direction, resulting in lower- to higher-order plate models with only pure displacement variables via the Lagrange polynomial expansions. Furthermore, the principle of virtual work and a finite element approximation are exploited to straightforwardly and easily formulate the nonlinear governing equations. By taking into account the three-dimensional full Green-Lagrange strain components, the explicit forms of the secant and tangent stiffness matrices of unified plate elements are presented in terms of the fundamental nuclei, which are independent of the theory approximation order. The Newton-Raphson linearization scheme combined with a path-following method based on the arc-length constraint is utilized to solve the geometrically nonlinear problem. Numerical assessments, including the large-deflection response of square plates subjected to transverse uniform pressure and the post-buckling analysis of slender plates under compression loadings, are finally conducted to confirm the capabilities of the proposed CUF plate model to predict the large-deflection and post-buckling equilibrium curves as well as the stress distributions with high accuracy.
机译：在几何非线性状态下，高度灵活的结构在役非线性响应的准确预测对于其设计和失效评估至关重要。本文采用总拉格朗日方法开发了完整的几何非线性精炼板理论的统一表述，以研究各向同性矩形板的大挠度和屈曲后响应。基于Carrera统一公式（CUF），可通过索引符号和厚度方向上广义变量的任意展开函数一致地实现各种二维板结构的运动学，从而得到具有从低到高的板模型。仅通过Lagrange多项式展开式的纯位移变量。此外，虚拟工作原理和有限元逼近被利用来直接和容易地制定非线性控制方程。通过考虑三维完整的格林-拉格朗日应变分量，以基本核的形式给出了统一板单元的割线和切线刚度矩阵的显式形式，这与理论逼近顺序无关。牛顿-拉夫森线性化方案结合基于弧长约束的路径跟踪方法，解决了几何非线性问题。最后进行了数值评估，包括方形板在横向均匀压力下的大挠度响应和细长板在压缩载荷下的后屈曲分析，以确认所提出的CUF板模型预测大挠度和变形的能力。屈曲后的平衡曲线以及高精度的应力分布。

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