Browse Publications Technical Papers 2020-28-0320
2020-09-25

Modal Analysis of Chladni Plate using Cymatics. 2020-28-0320

Cymatics is the branch that studies the visible effects of the sound and vibration. Ernest Florens Friedrich Chladni performed numerous experiments to study the nodes of vibration of square and circular plates, fixed at the center and driven with a violin bow. This work aims at demonstrating nodes and antinodes at various frequencies of vibrations. Chladni plate is used for this purpose. When the plate is excited because of vibrations from a vibrator source, the sand of the plate creates specific patterns. These patterns are related to the excitation frequency. The sand on the plate moves away from antinodes where the amplitude of the standing wave is maximum and towards nodal lines where the amplitude is minimum or zero, forming patterns known as Chladni figures. The formation of patterns depends on material properties, the geometry of the plate, the thickness of the plate and frequency/vibration pattern of the vibrator. The experimental setup consisted of an aluminum rectangular plate of 16 cm × 16 cm and a 1 mm thick plate placed over a mechanical vibrator (GelsonLab HSPW-003), which was driven by a sine wave signal generator (Ningbo Hema scientific). The procedure consisted of sprinkling powder on the plate and sweeping the frequency of the function generator until a constant pattern was obtained. Different shapes formed by sand particles on the plate at different frequencies will be captured by the camera. Modal analysis is done using ANSYS workbench for validation purposes. The proposed work is at TRL (technology readiness level) of 3, research to prove feasibility [TRL of 3 of NASA 1 to 9 TRL levels]. As basic research is carried out to verify the use of Chladni Patterns to relate the frequency of vibration and the patterns generated. There is a possibility to work on plate geometry and material properties to relate the patterns generated with the vibrations and the Chladni patterns.

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