Can One Hear Fastening of a Rod?

Details Can One Hear Fastening of a Rod? Can One Hear Fastening of a Rod?

2008-01-12

arxiv.org/abs/0801.1872v1

Mathematics

Spectral Theory

Scientific paper

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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