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VALIDITY OF IMPROVED MATHEMATICAL MODELS, A COMMENTARY

机译:改进数学模型的有效性,评论

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This paper deals with the question of the validity of the concept and the applications of "updating" analytically derived mathematical models of structures by the use of measured data taken from the actual structure. A major point of the discussion is the common error of not distinguishing between the finite element model and the actual structure itself. This leads to such misleading concepts as: "complete set of data," banded matrices, and unique solutions. Illustrations of some of the problems with these concepts are presented. The often attempted extension of these procedures to identify structural damage is also discussed. An illustration of multiple distinct models that equally well represent the same structure is presented. It is suggested that it may be reasonable to expect that different models of the same structure may be appropriate for different applications. Examples to illustrate this concept are presented. The difficult question as to how to determine which model should be used for a particular application is raised. Significant new research is required in this area and suggestions are presented.
机译:本文通过使用从实际结构采取的测量数据来处理概念有效性和“更新”分析派生数学模型的概念和应用的问题。讨论的主要观点是在有限元模型和实际结构本身之间不区分的常见错误。这导致这种误导性概念为:“完整的数据集”,带状矩阵和唯一解决方案。提出了这些概念的一些问题的图示。还讨论了经常尝试延伸这些程序以识别结构损坏。提出了同样好代表相同结构的多个不同模型的图示。建议可以合理地期望相同结构的不同模型可能适合于不同的应用。示例以说明此概念呈现。提出了如何确定如何用于特定应用程序的难题。在该领域需要大量的新研究,并提出了建议。

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