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Structural optimization and sensitivity analysis using finite element force method

机译:使用有限元力方法进行结构优化和灵敏度分析

摘要

The objective of the present research is to develop a computer aided environment for optimization of structures by integrating the structural and design sensitivity analysis using the finite element force method, and mathematical programming techniques. A reliable tool for sensitivity analysis is perquisite for performing interactive structural design, synthesis and optimization. The sensitivity analysis is used to provide the gradient information to the gradient-based optimization algorithm. The developed structural optimization methodology using the force method is used to optimize discrete structures subjected to stress, displacement and frequencies constraints, and results are compared with those generated from displacement method and those in literature. The improved accuracy and efficiency of the developed optimization algorithm using analytical sensitivity analysis is also demonstrated by comparing the results with those obtained from the numerical sensitivity analysis. Later, the developed optimization methodology is extended to the design of the stiffened panels subjected to uniform uniaxial compression loading. The buckling characteristic of stiffened panels subjected to uniform in-plane loading is of considerable importance, while designing for the aerospace, naval and civil engineering applications. The finite element model for the linear buckling analysis of the eccentrically stiffened panels based on the force method is developed, and is validated by extensive numerical analysis. The explicit expressions of the sensitivity of the buckling load with respect to dimensions of plate and stiffener are formulated, and integrated with the optimization algorithm and finite element analysis. The developed optimization algorithm is used to design different types of stiffened panels
机译:本研究的目的是通过结合使用有限元力方法的结构和设计灵敏度分析以及数学编程技术,开发一种用于优化结构的计算机辅助环境。可靠的灵敏度分析工具足以执行交互式结构设计,综合和优化。灵敏度分析用于向基于梯度的优化算法提供梯度信息。使用力法开发的结构优化方法用于优化受应力,位移和频率约束的离散结构,并将结果与​​位移法和文献中的结果进行比较。通过将结果与从数值敏感性分析中获得的结果进行比较,还证明了使用分析敏感性分析开发的优化算法的准确性和效率得到了提高。后来,开发的优化方法扩展到承受均匀单轴压缩载荷的加劲板的设计。在为航空航天,海军和土木工程应用设计时,承受均匀平面载荷的加劲板的屈曲特性非常重要。建立了基于力法的偏心刚度板线性屈曲分析的有限元模型,并通过大量数值分析对其进行了验证。提出了屈曲载荷对板和加劲肋尺寸的敏感性的明确表达,并与优化算法和有限元分析相结合。所开发的优化算法用于设计不同类型的加劲板

著录项

  • 作者

    Singh Amandeep;

  • 作者单位
  • 年度 2006
  • 总页数
  • 原文格式 PDF
  • 正文语种 en
  • 中图分类

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