@inproceedings{8025adda7ab5465c9d38007aae427c3f,
title = "The effect of an added mass on the frequency shifts of a clamped-clamped microbeam for bio-mass detection",
abstract = "We present analytical formulations to calculate the induced resonance frequency shifts of electrically actuated clampedclamped microbeams due to an added mass. Based on the Euler-Bernoulli beam theory, we investigate the linear dynamic responses of the beams added masses, which are modeled as discrete point masses. Analytical expressions based on perturbation techniques and a one-mode Galerkin approximation are developed to calculate accurately the frequency shifts under a DC voltage as a function of the added mass and position. The analytical results are compared to numerical solution of the eigenvalue problem. Results are shown for the fundamental as well as the higher-order modes of the beams. The results indicate a significant increase in the frequency shift, and hence the sensitivity of detection, when scaling down to nano scale and using higher-order modes.",
keywords = "Added mass, Frequency shift, Galerkin methods, Microbeams, Perturbation techniques",
author = "Adam Bouchaala and Nayfeh, \{Ali H.\} and Younis, \{Mohammad I.\}",
note = "Publisher Copyright: Copyright {\textcopyright} 2016 by ASME.; ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2016 ; Conference date: 21-08-2016 Through 24-08-2016",
year = "2016",
doi = "10.1115/DETC201659667",
language = "English",
series = "Proceedings of the ASME Design Engineering Technical Conference",
publisher = "American Society of Mechanical Engineers (ASME)",
booktitle = "12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control",
}