Abstract
The three-dimensional free vibration analysis of isotropic rectangular elastic plates with standard undamaged or damaged boundaries is studied using the Chebyshev spectral collocation method. It was assumed that the plates had two free lateral surfaces and two opposite simply supported surfaces, while the other surfaces could be clamped, simply supported, free, or damaged clamped boundaries. In the present study the boundary conditions are coupled with the governing equation to obtain the equivalent algebraic eigenvalue problem in terms of the Chebyshev collocation grid. The results obtained indicate the behavior of the natural vibration frequencies with respect to the severity of the damaged boundary. This analysis can possibly lead to an efficient technique for damage detection of structures in which joint or boundary damage plays a significant role in the dynamic characteristics.
Original language | English (US) |
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Pages (from-to) | 3-9 |
Number of pages | 7 |
Journal | International Journal of Acoustics and Vibrations |
Volume | 19 |
Issue number | 1 |
DOIs | |
State | Published - Mar 2014 |
Externally published | Yes |
ASJC Scopus subject areas
- Acoustics and Ultrasonics
- Mechanical Engineering