Can One Hear Fastening of a Rod?

TL;DR

This paper investigates whether natural frequencies of a rod's flexural vibrations can be used to detect fastening defects, providing a validated method for non-destructive inspection when direct observation is not possible.

Contribution

It introduces a new approach to identify fastening damage in rods using their natural vibration frequencies, supported by theoretical analysis.

Findings

Natural frequencies change with fastening defects

Method effectively detects damage non-destructively

Validated through theoretical and experimental analysis

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.