Applying the finite element method to investigate micro-cantilever responses to kHz acoustic forces in stationary mode (Accepted)


Yılmaz Ç., Çelebi Ç.

in: Springer Proceedings in Mathematics & Statistics, Robinson dos Santos, Editor, Springer, London/Berlin , Berlin, pp.1-5, 2026

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2026
  • Publisher: Springer, London/Berlin 
  • City: Berlin
  • Page Numbers: pp.1-5
  • Editors: Robinson dos Santos, Editor
  • Akdeniz University Affiliated: Yes

Abstract

The present study demonstrates the forced displacements of the fixed-free micro-cantilever under dynamic acoustic forces within kHz range. The FEM method is applied to investigate sensitivity of the AFM micro-cantilever to acoustic forces for the SPL range of 30 -70 dB. Oscillatory responses to varying length, width, and thickness of the rectangular micro-cantilever are determined for enhanced sensitivity analysis. The FEM results suggest that the amplitude responses becomes quite higher when the width-to-thickness ratio reaches the critical value (w/t=50). Therefore, the sensitivity of the micro-cantilever to kHz acoustic forces can be improved by optimizing the micro-cantilever dimensions using the FEM technique.