关于结构健康监测公理的注解

Akash Dixit
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摘要

本文详细讨论了Worden等人[2007]提出的结构健康监测(SHM)公理。在许多情况下,发现公理的意图是正确的,但是使用的术语令人困惑。此外,还发现一些公理可以由文中给出的其他公理推导出来。基于本文的讨论,我们建议将Worden et al.[2007]给出的7个公理替换为一组3个新公理。在必要时提出反例来反驳公理。与Worden等人[2007]类似,公理一词在数学和逻辑领域被用于其含义之外。在这两篇论文中,“公理”一词指的是在SHM领域中不能被反驳的基本真理。
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A NOTE ON AXIOMS OF STRUCTURAL HEALTH MONITORING
In this paper, the axioms of Structural Health Monitoring (SHM) presented by Worden et al. [2007] are discussed in detail. In many cases, the intent of the axioms is found to be correct, but the terminologies used are confusing. Also, it was found that some axioms could be derived from other axioms that were given in the paper. Based on the discussion presented in this paper, it is suggested to replace the seven axioms given by Worden et al. [2007] with a set of three new axioms. Counter-examples are presented to dispute the axioms where necessary. Similar to Worden et al. [2007], the term axiom is used outside its meaning in the field of mathematics and logic. In both the papers, the term axiom refers to the fundamental truths, which cannot be contradicted in the field of SHM.
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