STUDY NEO-HOOKEAN AND YEOH HYPER-ELASTIC MODELS IN DIELECTRIC ELASTOMER-BASED MICRO-BEAM RESONATORS

Authors

  • SAEED DANAEE BARFOROOSHI SHAHROOD UNIVERSITY
  • ARDESHIR KARAMI MOHAMMADI SHAHROOD UNIVERSITY

Keywords:

MICRO-BEAM RESONATOR, FREE VIBRATION, HYPER-ELASTIC, NEO-HOOKEAN, YEOH

Abstract

MICRO-BRIDGE RESONATOR WITH DIELECTRIC ELASTOMER THAT IS SANDWICHED BETWEEN TWO ELECTRODES IS STUDIED HERE WITH GEOMETRIC AND MATERIAL NONLINEARITY. GEOMETRIC NONLINEARITY IS INTRODUCED WITH VON-KARMAN STRAIN-DISPLACEMENT RELATIONSHIP. FOR MATERIAL NONLINEARITY THAT IS MODELED RARELY IN ARTICLES, TWO HYPER-ELASTIC MODELS ARE USED HERE. GOVERNING EQUATION OF MOTION FOR NEO-HOOKEAN AND YEOH MODELS ARE DERIVED THROUGH HAMILTONÂS PRINCIPLE. THESE EQUATIONS SHOW THAT NEO-HOOKEAN IS NOT A SUITABLE MODEL FOR THIS CASE BECAUSE OF INADEQUATE TERMS, BUT THE YEOH ONE IS. GOVERNING EQUATION IN YEOH MODEL IS SOLVED BY ANALYTICAL LINDSTEDT-POINCARE METHOD. TIME HISTORY OF MICRO-BEAM IS PRESENTED IN DIFFERENT MODES AND IT IS SHOWN GOOD AGREEMENT WITH NUMERICAL METHOD. IT IS SEEN THAT INCREASING OF MODE NUMBER LEADS TO INCREASING OF FREQUENCY. ALSO THE INFLUENCE OF DIFFERENT PARAMETERS ON NONLINEAR NORMALIZED FREQUENCY IS ILLUSTRATED.

Downloads

Published

2016-04-21

Issue

Vol. 13 No. 10 (2016)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

 

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).