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The Effect of an Added Mass on the Frequency Shifts of a Clamped-Clamped Microbeam for Bio-Mass Detection

[+] Author Affiliations
Adam Bouchaala, Mohammad I. Younis

King Abdullah University of Science and Technology, Thuwal, Saudi Arabia

Ali H. Nayfeh

Virginia Polytechnic Institute and State University, Blacksburg, VA

Paper No. DETC2016-59667, pp. V006T09A041; 8 pages
  • ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 12th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Charlotte, North Carolina, USA, August 21–24, 2016
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5018-3
  • Copyright © 2016 by ASME


We present analytical formulations to calculate the induced resonance frequency shifts of electrically actuated clamped-clamped 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.

Copyright © 2016 by ASME
Topics: Biomass , Microbeams



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