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Optimal design of a parallel beam system with elastic supports to minimize flexural response to harmonic loading.

机译:具有弹性支撑的平行梁系统的优化设计,可最大程度地减少对谐波载荷的挠曲响应。

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摘要

Mechanical systems subject to vibration are prevalent across many industries. Harmonic problems can be especially challenging to optimize due to the likelihood that the response will be multi-modal; influenced by system natural frequencies throughout the design space. Further, analysis of these systems often involves large and complex computer models which require significant resources to execute. A parallel beam system, as evaluated with Finite Element Modeling (FEM), is used as an example in this work to demonstrate a proposed method of identifying an optimum in a constrained, multi-modal response environment with consideration for Expensive Black Box Functions.;The presented method leverages benefits of a combined approach where the domain is first surveyed for potential areas of optimal response using a method of Steepest Feasible Descent (SFD), followed by a search in the optimal region using direct search methods. The method of SFD is made useful for constrained models by a penalty system including both deterministic and programmatic methods. A sensitivity-based search vector method also helps to manage situations where significant difference in magnitude exists among the design variables. Evidentiary support for these key program elements is provided using standardized test functions. The effectiveness of the method is also demonstrated by seeking a minimum flexural response for a parallel beam system subject to elastic support and response constraints.
机译:受振动影响的机械系统在许多行业中都很普遍。由于响应可能是多模式响应,因此优化谐波问题可能尤其困难。在整个设计空间中受到系统固有频率的影响。此外,对这些系统的分析通常涉及大型且复杂的计算机模型,这需要大量资源才能执行。以有限元建模(FEM)评估的平行梁系统为例,在此工作中展示了一种建议的方法,该方法在考虑到昂贵的黑匣子功能的情况下,在受限的多模态响应环境中确定最优值。提出的方法利用了组合方法的优势,其中首先使用最速可行下降(SFD)方法对域进行最佳响应的潜在区域调查,然后使用直接搜索方法在最优区域中进行搜索。通过包含确定性和程序性方法的惩罚系统,SFD方法可用于约束模型。基于灵敏度的搜索矢量方法还有助于管理设计变量之间幅度存在显着差异的情况。使用标准化测试功能为这些关键程序元素提供了证据支持。通过寻找受弹性支撑和响应约束的平行梁系统的最小挠曲响应,也证明了该方法的有效性。

著录项

  • 作者

    Hauser, Bret R.;

  • 作者单位

    The University of Texas at Arlington.;

  • 授予单位 The University of Texas at Arlington.;
  • 学科 Mechanical engineering.
  • 学位 M.S.
  • 年度 2015
  • 页码 240 p.
  • 总页数 240
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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