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Can One Hear Fastening of a Rod?

2008/01/12 by A. M. Akhtyamov, Artour Mouftakhov, A. V. Mouftakhov +7
Engineering · Mathematics · Physics and Astronomy · #34A55 #65L09 #74H45 #Acoustic Wave Phenomena Research #FOS: Mathematics #Model Reduction and Neural Networks #Spectral Theory (math.SP) #Ultrasonics and Acoustic Wave Propagation #math.SP #msc:34A55 #msc:65L09 #msc:74H45

paper · pdf · doi:10.48550/arxiv.0801.1872

arxiv created 2008/01/12 · openalex publication_date 2008/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Rods are parts of various devices. If it is impossible to observe the rod directly, the only source of information about possible defects of its fastening can be the natural frequencies of its flexural vibrations. The question arises whether one would be able to detect damage in rod fastening by the natural frequencies of its flexural vibrations. This paper gives and substantiates a positive answer to this question.

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