“…They can provide smooth motions through deflections of flexure hinges Handley et al, 2004). Due to these advantages, coupled with nanometer positioning accuracy, flexure-based compliant mechanisms have been widely used in many industrial applications, such as scanning probe microscopy (Schitter et al, 2007;Leang and Fleming, 2009), lithography (Choi and Lee, 2005), nano-manipulation and manufacturing (Lai et al, 2012;Verma et al, 2005), and biological science (Ando et al, 2002;Kim et al, 2012). In addition, the flexure-based compliant positioning mechanisms with ultrahigh precision play more and more important roles in applications where a high resolution motion is desirable, such as the MEMS sensors and actuators, optical fiber alignment, and biological cell manipulation (Wang and Zhang, 2008;Li et al, 2012;Zubir et al, 2009).…”