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Response sensitivity and Hessian matrix analysis of planar frames subjected to earthquake excitation

机译：地震作用下平面框架的响应灵敏度和Hessian矩阵分析

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摘要

This paper describes a new method of calculating accurately and efficiently dynamic response sensitivity and Hessian matrix of planar frames subjected to earthquake excitation. The formulas for sensitivity and Hessian matrix are derived by direct differentiation. An efficient algorithm to calculate dynamic response sensitivity and Hessian matrix is formulated based on finite element method and Newmark-β method. The first and second derivatives of dynamic responses can be derived simultaneously with only a single dynamics analysis. Two numerical examples are demonstrated with the newly developed method and the central-difference method. The results show that compared with the central-difference method, the new method proposed in this paper is highly accurate and more efficient.
机译：本文介绍了一种新的方法，该方法可以准确有效地计算受地震激励的平面框架的动态响应灵敏度和Hessian矩阵。灵敏度和Hessian矩阵的公式是通过直接微分得出的。基于有限元法和Newmark-β法，提出了一种有效的动态响应灵敏度和Hessian矩阵计算算法。动态响应的一阶和二阶导数仅通过一次动力学分析即可同时导出。使用新开发的方法和中心差方法演示了两个数值示例。结果表明，与中心差分法相比，本文提出的新方法具有较高的准确性和效率。

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  • 来源
    《Finite elements in analysis & design》 |2009年第10期|695-709|共15页
  • 作者

    Qimao Liu; Jing Zhang; Liubin Yan;

  • 作者单位

    Department of Civil Engineering, Cuangxi University of Technology, Liuzhou 545006, PR China College of Civil and Architecture Engineering, Cuangxi University, Nanning 530004, PR China;

    Department of Mechanical Engineering, University of Alaska Fairbanks, Fairbanks, AK 99775, USA;

    College of Civil and Architecture Engineering, Cuangxi University, Nanning 530004, PR China;

  • 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
  • 关键词

    dynamic response; sensitivity; hessian matrix; earthquake; planar frame;

    机译：动态响应灵敏度;粗麻布矩阵地震;平面框架;

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