Point-driven modern Chladni figures with symmetry breaking

P. H. Tuan, Y. H. Lai, C. P. Wen, Kai-Feng Huang, Yung-Fu Chen*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Point-driven modern Chladni figures subject to the symmetry breaking are systematically unveiled by developing a theoretical model and making experimental confirmation in the orthotropic brass. The plates with square shape are employed in the exploration based on the property that the orientation-dependent elastic anisotropy can be controlled by cutting the sides with a rotation angle with respect to the characteristic axes of the brass. Experimental results reveal that the orientation symmetry breaking not only causes the redistribution of resonant frequencies but also induces more resonant modes. More intriguingly, the driving position in some of new resonant modes can turn into the nodal point, whereas this position is always the anti-node in the isotropic case. The theoretical model is analytically developed by including a dimensionless parameter to consider the orientation symmetry-breaking effect in a generalized way. It is numerically verified that all experimental resonant frequencies and Chladni patterns can be well reconstructed with the developed model. The good agreement between theoretical calculations and experimental observations confirms the feasibility of using the developed model to analyze the modern Chladni experiment with orientation symmetry breaking. The developed model is believed to offer a powerful tool to build important database of plate resonant modes for the applications of controlling collective motions of micro objects.

Original languageEnglish
Article number10844
Number of pages13
JournalScientific reports
Volume8
Issue number1
DOIs
StatePublished - 18 Jul 2018

Keywords

  • COMPOUNDED NORMAL-MODES
  • SURFACE ACOUSTIC-WAVES
  • PLATES
  • VIBRATIONS
  • RECONSTRUCTION

Fingerprint Dive into the research topics of 'Point-driven modern Chladni figures with symmetry breaking'. Together they form a unique fingerprint.

Cite this