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Nonlinear stability analysis of frame-type structures with random geometric imperfections using a total-Lagrangian finite element formulation.

机译:使用总拉格朗日有限元公式,对具有随机几何缺陷的框架型结构进行非线性稳定性分析。

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摘要

With the increasing use of lightweight frame-type structures that span long distances, there is a need for a method to determine the probability that a structure having random initial geometric imperfections will become unstable at a load less than a specified fraction of the perfect critical load. The overall objective of this dissertation is to present such a method for frame-type structures that become unstable at limit points. The overall objective may be broken into three parts. The first part concerns the development of a three-dimensional total Lagrangian beam finite element that is used to determine the critical load for the structure. The second part deals with a least squares method for modeling the random initial imperfections using the mode shapes from a linear buckling analysis, and a specified maximum allowable magnitude for the imperfection at any imperfect node in the structure. The third part deals with the calculation of the probability of failure using a combined response surface/first-order second-moment method. Numerical results are presented for two example problems, and indicate that the proposed method is reasonably accurate. Several problems with the proposed method were noted during the course of this work and are discussed in the final chapter.
机译:随着跨越长距离的轻型框架型结构的使用的增加,需要一种方法来确定具有随机初始几何缺陷的结构在小于理想临界载荷的指定分数的载荷下变得不稳定的可能性的方法。本文的总体目标是提出一种框架结构的方法,该方法在极限点处变得不稳定。总体目标可以分为三个部分。第一部分涉及三维总拉格朗日束有限元的发展,该有限元用于确定结构的临界载荷。第二部分介绍了一种最小二乘法,用于使用线性屈曲分析中的众数形状对随机初始缺陷进行建模,并为结构中任何缺陷节点处的缺陷指定了最大允许量。第三部分使用组合响应面/一阶二阶矩法来计算失效概率。给出了两个示例问题的数值结果,表明所提出的方法是相当准确的。在这项工作的过程中注意到了所提出方法的一些问题,并在最后一章中进行了讨论。

著录项

  • 作者

    Warren, Jerry Earl, Jr.;

  • 作者单位

    Virginia Polytechnic Institute and State University.;

  • 授予单位 Virginia Polytechnic Institute and State University.;
  • 学科 Mechanics.;Mechanical engineering.;Civil engineering.
  • 学位 Ph.D.
  • 年度 1997
  • 页码 212 p.
  • 总页数 212
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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