“…In order to widen the bandwidth of the PEHs, several types of nonlinear systems have been proposed. Typical nonlinear PEHs depicted in the literatura are monostable or bistable piezoelectric buckled beams (Cottone et al, 2012; Liu et al, 2013, 2016, 2017; Qian et al, 2020), monostable and bistable piezomagnetoelastic systems (Erturk and Inman, 2011a; Paula et al, 2015; Sebald et al, 2011; Wang et al, 2018b), tristable piezomagnetoelastic systems (Haitao et al, 2015; Kim and Seok, 2015; Zhu et al, 2017), and nonsmooth systems with mechanical stoppers (Ai et al, 2019; Blystad and Halvorsen, 2011; Liu et al, 2012). Recent studies also show the development of quadstable and pentastable structures (Kim and Seok, 2014; Wang et al, 2018a; Zhou et al, 2017a, 2017b).…”