Free vibration analysis of exponential functionally graded beams with a single delamination

Functionally graded materials (FGMs) are regarded as one of the most promising candidates for future advanced composites in many engineering sectors. However, FGMs is not immune to the occurrence of delamination, which can significantly reduce the stiffness and strength of the structures and affect their vibration characteristics. In the present study, an analytical solution is developed to study the free vibration of exponential functionally...