【文章內(nèi)容簡介】
SWNT bees unstable and collapses. This phenomenon is called Pullin and the relative voltage, Pullin voltage. The applied electrostatic force per length is found by classic capacitance model as: Where ε0 is vacuum permittivity, V is include voltage, Rnt is SWNT radius and r is SWNT and ground plane distance. Wang and Varadan(2021) prove that this instability is because of SWNT kink under bending conditions, which has been observed by high resolution transmission electron, when the strain energy at the inner wall of the pressive side reaches the critical value. Since stress and strain follow a linear distribution in radial direction, it is reasonable to assume that kink instability happens when inplane strain under uniformly distributed pression. The kink slope being a function of dnt can be found by: That L is SWNT length, dNT, is its diameter and h is SWNT effective thickness. DEFINITION OF TUNEABLE PRESSURE SWITCH By bining the above mentioned concepts about Pullin phenomenon and transition pressure of SWNTs, the tuneable pressure switch mechanism can be defined. As it can be seen, from , the θer is a function of SWNT diameter. While a hydrostatic pressure is applied on SWNT, its diameter reduces uniformly and proportionally to the applied pressure: WheredNT0 is SWNT39。s initial diameter (at zero pressure) and E is its effective young Modulus () To calculate the Pullin voltage, elastic and electrostatic domains should be considered. Van der Waals forces are quite small in parison to electrostatic force。 therefore, they are neglected in this study. The system obeys the classical beam equation Which is highly nonelinear. Therefore, it has no analytical solution. Without losing the generality, it is possible to use lump model derived by Dequensenes et al.(2021) which assumes bending electrostatic force distribution is uniform before Pullin phenomenon happens. The pullin voltage for a lump model is calcuated by: That rinit is the initial distance between SWNT and ground plane and rpl=2rinit/3 is the distance which Pullin happens. By considering RNT as a function of applied pressure, the relation between Pullin voltage and applied pressure is obtained(). In consequence, the mechanism of suggested pressure switch