Tracking the motion of particles on a Chladni plate through a genealogical algorithm

Abstract

In this paper, we proposed the genealogical algorithm, an alternative algorithm to track the motion of particles on a Chladni plate to those being conventionally used by other researchers. The genealogical algorithm is based on the continuous principle of motion and relies more on image-processing methods while attempting to circumvent the usage of optimization techniques. We demonstrated that by using this algorithm, we can effectively determine the displacement fields of the Chladni plate for six (6) resonant frequencies: 99Hz, 303Hz, 589Hz, 852Hz, 1680Hz, and 1883Hz. Our work shows that the genealogical algorithm is an accurate and feasible method for obtaining displacement fields and proves useful for particle motion control research.