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Advances in empirical similitude method.

机译：经验相似度方法的进展。

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摘要

Dimensional Analysis is a technique that has allowed engineering evaluation of complex objects by scaling analysis results of representative simpler models. The original premise of the procedure stems from the idea of developing non-dimensional parameters to relate physical events and underlying analytical basis. Extending the process to incorporate non-linear and time variant behavior has led to development of a novel process of similitude called the Empirical Similitude Method (ESM) where experimental data of test specimen is combined to produce the required prediction values.;Using the original motivation and hypothesis of ESM, this research has expanded the experimental similitude process by using adapted matrix representations and continuous functional mapping of test results. This new approach has provided more rigorous mathematical definitions for similarity and prediction estimations based on an innovative error minimization algorithm. Shape factors are also introduced and integrated into ESM to obtain comprehensive evaluation of specimen choices.;A detailed overview is provided summarizing methods, principles and laws of traditional similitude (TSM) and systems that satisfy extension into ESM. Applicability of ESM in different systems is described based on the limitations of TSM in the evaluation of complex structures. Several examples and ideas spanning aerodynamic, thermal, mechanical and electro-magnetic domains are illustrated to complement inherent technical analysis. For example, the new ESM procedure is shown to be considerably more accurate than earlier methods in predicting the values of drag coefficient of an airfoil. A final foray into the regime of "design evaluation by similarity" is made to elucidate applicability and efficiency of developed techniques in practical systems and products. A thorough methodology is also presented highlighting pertinent procedures and processes in usage of this method.
机译：维度分析是一项技术，通过缩放代表性较简单模型的分析结果，可以对复杂对象进行工程评估。该过程的原始前提是开发无量纲参数以关联物理事件和潜在分析基础的想法。将过程扩展到包含非线性和时变行为的过程已导致开发了一种新的相似过程，称为经验相似方法（ESM），其中结合了试样的实验数据以产生所需的预测值。以及ESM的假设，这项研究通过使用自适应矩阵表示和测试结果的连续函数映射，扩展了实验相似性过程。这种新方法基于创新的错误最小化算法，为相似性和预测估计提供了更严格的数学定义。形状因子也被引入并集成到ESM中，以获得对样本选择的全面评估。;详细概述了传统相似性（TSM）的方法，原理和定律以及满足扩展到ESM的系统。基于TSM在复杂结构评估中的局限性，描述了ESM在不同系统中的适用性。举例说明了横跨空气动力学，热力学，机械和电磁领域的几个示例和思想，以补充固有的技术分析。例如，新的ESM程序在预测机翼阻力系数值方面比以前的方法准确得多。最终进入“通过相似性进行设计评估”的制度，以阐明已开发技术在实际系统和产品中的适用性和效率。还提供了一种详尽的方法，重点介绍了使用此方法的相关过程和过程。

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  • 作者

    Tadepalli, Srikanth.;

  • 作者单位

    The University of Texas at Austin.;

  • 授予单位 The University of Texas at Austin.;
  • 学科 Engineering Mechanical.
  • 学位 Ph.D.
  • 年度 2009
  • 页码 332 p.
  • 总页数 332
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 机械、仪表工业;
  • 关键词

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