“…Due to the intrinsic mechanical-electrical coupling effect, piezoelectric (PE) materials stimulate an abundance of interdisciplinary research (Azizi et al, 2016). Developing PE materials with structural systems like advanced composite beams, plates, and shells have enormous applications in emerging fields such as aerospace industries (Gasbarri et al, 2014), military operation (Barrett-Gonzalez and Wolf, 2022), and energy harvesting (Elahi et al, 2019). The designed smart structures include the shape control of large space antennas, active or passive control of vibration (Rao and Sunar, 1994; Yoon and Washington, 1998), miniature positioning devices, for example, micro-robots, medical apparatus, micro-pumps (Muralt et al, 1986), highly efficient micro-machined acoustic devices like microphones and micro speakers (Williams et al, 2012), hearing aids (Zargarpour and Zarifi, 2015), and chemical and biomedical ones (Huang and Lee, 2008; Manbachi and Cobbold, 2011).…”