“…The damping constant is given by b = 2ξω 0 m and ξ is the damping coefficient. The displacement x(t) of accelerometers can be indirectly derived by using a certain physical sensing device to measure the corresponding physical effect such as piezoresistance, capacitance, piezoelectricity, strain gauge, electron tunnelling, resonance, thermal convection and optics [4, 15,16,35,[38][39][40][41][42][43][44][45][46][47][48][49]. Huge technological advance of hardware for accelerometers has been made over more than one century, in particular, thanks to the finding of piezoresistive effect in silicon by Smith [41] and the invention of microelectromechanical system (MEMS) accelerometers by Roylance and Angell [42] (see also [15,16,35,39,40]).…”