Finite element modelling of the behaviour of thin planar and curved plates

Christopher F. Kearns
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Abstract

The finite element has been made increasingly more accessible to engineering analysts through the development of powerful user-friendly software. It is a widely used approach to the analysis of thin planar and curved plate structures for bending behaviour. This applications-type paper describes the role which the finite element technique played in an analytical and experimental investigation of the behaviour of thin plate elements under static loading.

In this investigation, finite element analysis was used firstly to assess the validity of various assumptions used in the experimental setup and, secondly, to provide theoretical predictions for the cracking load of the small scale test specimens. One type of element examined was the thin doubly curved hyperbolic paraboloid form. Linear elastic analysis of such relatively complex geometrical shapes is now comparatively straight forward using computers.

The paper highlights the value of the finite element method as a complementary tool to experimental analysis. The data provided helps to validate the use of discrete models for the class of problem studied. The discretization and refinement of the model is greatly faciliated by modern software and hardware.

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平面薄板和弯曲板的有限元模拟
通过开发功能强大的用户友好型软件,工程分析人员越来越容易接触到有限元。它是一种广泛应用于分析薄平面和弯曲板结构弯曲性能的方法。这篇应用类型的论文描述了有限元技术在静载荷作用下薄板元件行为的分析和实验研究中所起的作用。在本研究中,首先使用有限元分析来评估实验设置中使用的各种假设的有效性,其次,为小尺寸试件的开裂载荷提供理论预测。所研究的一种单元是薄的双弯曲双曲抛物面形式。对这种相对复杂的几何形状进行线性弹性分析,现在用计算机就比较直接了。本文强调了有限元法作为实验分析的补充工具的价值。所提供的数据有助于验证对所研究的这类问题使用离散模型。现代软件和硬件极大地方便了模型的离散化和精化。
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