Mathematical model of a nanopaddle oscillator


Journal Article

A model of a nanopaddle oscillator is developed to determine the resonant frequency (or the modulus of elasticity by inference from a measurement of the resonant frequency). Also modeled is the nonlinear stiffness of the oscillator and its nonlinear response. The approach is based upon a modal expansion of the elastic deformation of the oscillator and a Lagrangian representation. A comparison with recent work by other investigators is made and it appears the present model may help resolve a question about the modulus of elasticity to be inferred from such models. © 2001 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Dowell, EH; Tang, D

Published Date

  • December 1, 2001

Published In

Volume / Issue

  • 90 / 11

Start / End Page

  • 5606 - 5611

International Standard Serial Number (ISSN)

  • 0021-8979

Digital Object Identifier (DOI)

  • 10.1063/1.1415535

Citation Source

  • Scopus