Damage Identification of Functionally Graded Beams using Modal Flexibility Sensitivity-based Damage Index

Over the past decades, numerous damage diagnosis techniques based on modal flexibility have been studied and developed for various types of structures, but rarely structures made functionally graded (FG) materials. This paper aims to present extensive applicability a sensitivity-based index termed as MFBDI identification FG beams. The formulation this is closed-form sensitivity derived from direct algebraic method. offered method numerically demonstrated clamped-clamped beam two-span under (i) single multiple cases, (ii) noise-polluted measurement data, (iii) only information first few incomplete modes. results indicate that when noise level added mode shape data below 10%, can correctly localize locations damaged elements approximately quantify their magnitudes in In addition, influences number used modes, magnitudes, gradient values are also investigated numerical simulations.