“…In literature, several tubular LOA designs are proposed (Yatchev et al, 2004;Miri c et al, 2018, Poltschak et al, 2018, Park et al, 2002Jang et al, 2004;Jang et al, 2005;Mizuno et al, 2005;Zhu et al, 2008, Zhu et al, 2009, Chen et al, 2010, Birbilen et al, 2018, Hassan et al, 2016Sun et al, 2018;Kim et al, 2019;Ahmad et al, 2020). In Yatchev et al (2004) andMiri c et al (2018), single-phase miniature size tubular moving magnet linear oscillating actuator (MMLOA) having axially magnetized PMs is investigated in terms of their dynamic characteristics.…”