“…Vibration analysis is one of the most common methods for detecting damage in composite structures as it determines the structures' mode shapes and natural frequencies (Maia, et al 2003, Manoach, Samborski, et al 2012, Manoach, Warminski, et al 2016, Hammad and Moustafa 2020. Vibration analysis for cracked composite laminated plate and beam structures was developed by researchers (Ngo-Cong, Mai-Duy, et al 2011, Iliopoulos, Aggelis, et al 2015, El-Hafidi, Gning, et al 2017 who have concluded that damage is influenced by a structure's natural frequency, as the presence of damage decreases the natural frequency. Many investigators have also performed experimental and simulation studies to determine the frequency response function of carbon fibre composites and the dynamic damping behaviour of fabricated composites (Hu, Wang, et al 2006, Ding, Xie, et al 2015, Wang, Qin, et al 2017, Moustafa 2018.…”