Crack localization in beams by frequency shifts due to roving mass with rotary inertia
| Autor: | Ivo Caliò, Julian De Los Rios, Salvatore Caddemi, Francesco Cannizzaro, Sinniah Ilanko |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Inverse problems
Engineering Concentrated mass Rotary inertia 02 engineering and technology Governing equation 01 natural sciences Physics::Geophysics 0203 mechanical engineering Flexural strength Generalised functions 0103 physical sciences Differential (infinitesimal) 010301 acoustics business.industry Crack localization General Medicine Mechanics Structural engineering Inverse problem Physics::Classical Physics 020303 mechanical engineering & transports Closed-form expression business Beam (structure) |
| Popis: | The problem of crack localization has been tackled in the past by detecting frequency changes due to the application of a mass appended to the structure. However the effect of the rotary inertia of the mass on the natural frequencies of a cracked beam has not been deeply investigated. In this paper a novel explicit closed form solution of the governing equation of a beam with a concentrated mass, with rotary inertia, in the presence of multiple cracks is proposed. Furthermore, an analytical proof to show that the natural frequencies of a cracked beam with a roving body with a rotary inertia will generally change abruptly as the body passes over a crack, provided that the crack permits differential flexural rotations, is presented. Numerical results in terms of natural frequencies are provided and the procedure to exploit the occurrence of frequency shifts to detect and locate each crack is described. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|