A general procedure for thermomechanical calibration of nano/micro-mechanical resonators
arXiv:1305.0557 · doi:10.1016/j.aop.2013.08.003
Abstract
We provide a detailed description of a general procedure by which a nano/micro-mechanical resonator can be calibrated using its thermal motion. A brief introduction to the equations of motion for such a resonator is presented, followed by a detailed derivation of the corresponding power spectral density (PSD) function. The effective masses for a number of different resonator geometries are determined using both finite element method (FEM) modeling and analytical calculations.
18 pages, 8 figures, 12 tables