Reanalysis of linear and nonlinear structures using iterated Shanks transformation

Jorge E. Hurtado

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Reanalysis of linear and nonlinear structures using iterated Shanks transformation

机译：使用迭代Shanks变换重新分析线性和非线性结构

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Reanalysis of structures is a common task in two important fields of structural engineering, namely optimization and reliability. It implies the solution of the kinematic equations for each new set of data. In order to simplify this task several approximate methods have been developed. In this paper a simple method of reanalysis, applicable to either linear or nonlinear structures, is proposed. It is based on the improvement of the Neumann resolvent series, which diverges beyond a certain radius, by means by the iterated Shanks transformation.

机译：结构的重新分析是结构工程的两个重要领域中的一项常见任务，即优化和可靠性。它暗示了每组新数据的运动学方程式的解。为了简化此任务，已经开发了几种近似方法。本文提出了一种适用于线性或非线性结构的简单再分析方法。它基于对Neumann分解序列的改进，该序列通过迭代的Shanks变换发散到一定半径之外。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2002年第38期|p.4215-4229|共15页
作者
Jorge E. Hurtado;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
Structural analysis; Structural reliability; Structural optimization; Neumann series;

机译：结构分析;结构可靠性;结构优化;Neumann级数;

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Reanalysis of linear and nonlinear structures using iterated Shanks transformation

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