Arching Patterns in Three Dimensions of Sand Under Vertically Vibrated


Panupat Chaiworn Panutta Thepha


        This research studied the arching patterns of sand in 3D under vertical vibration by considering the vibration conditions such as frequency, amplitude and the dimensionless vibration acceleration. In addition, the mechanism of the system from video recording and object tracking was analyzed. It was found that the frequency and amplitude of the vibrator were set in vertically.Cymatics was described the science of wave phenomena of vibration wave forces.In this experiment the source of sound was connected via a wave driver to the acrylic plate with fine sand strewn on it. Found that, the arching patterns were observed using square plates for frequency 150-180 Hz (grille pattern) and lower 100-140 Hz (corner pattern) and higher octaves 200-250 Hz (concave square pattern). However, the arching patterns are dependent on the dimensions of the plate, and it may be noted that these are kept constant and not varied while conducting the experiments.The variation was consistent. When the frequency was increased, the amplitude decreased. It demonstrated that the lower the system vibration was, the lower the amplitude would be. The Arching patterns of sand depended on the frequency, amplitude and the dimensionless vibration acceleration divided into 3 types: corner, grille and concave square.

Keywords: Archingpatterns, Sand, Vertical vibration, Thedimensionless vibration acceleration


Aoki, K. M., Akiyama, T., Maki, Y., & Watanabe, T. (1996). Convective roll patterns in vertically vibrated beds of granules. Physical Review E, 54, 874.
Bizon, C., Shattuck, M. D., Swift, J. B., McCormick, W. D., & Swinney, H. L. (1998). Patterns in 3D
Vertically Oscillated Granular Layers: Simulation and Experiment. Reviews Letters, 80, 57-60.
Cross, M. C., & Hohenberg, P. C., (1993). Pattern formation outside of equilibrium. Reviews of Modern
Physics, 65, 851.
Eshuis, P., Weele, K. V. D., Meer, D. V. V., Bos, R., & Lohse, D. (2007). Phase diagram of Vertically
shaken granular matter. Physics of Fluids, 19, 123301.
Meera, R., (2018) A Study to Explore the Effects of Sound Vibrations on Consciousness. International Journal of Social Work and Human Services Practice, 6(3), 75-88.
Gallas, J. A. C., Herrmann, H. J., & Sokolowski, S. (1992). Convection cells in vibrating granular media.
Physical Review Letters, 69, 1371 – 1374.
Goldman, D. I., Shattuck, M. D., Moon, S. J., Swift, J. B., & Swinney, H. L. (2003). Lattice dynamics and melting of a nonequilibrium pattern. Physical Review Letters, 90, 104302.
Jaeger, H. M., & Nagel, S. R. (1992). The granular state. Science New Series, 255(5051),
1523 - 1531.
Sinnott, M. D., & Cleary, P. W., (2009). Vibration-induced arching in a deep granular bed. Granular Matter, 11, 345–364.
Zhang, F., Wang, L., Liu, C., Wu, P., & Zhan, S. (2014). Patterns of convective flow in a vertically
vibrated granular bed. Physics Letters A, 378, 1303-1308.

Research Articles


How to Cite
CHAIWORN, Panupat; THEPHA, Panutta. Arching Patterns in Three Dimensions of Sand Under Vertically Vibrated. Naresuan University Journal: Science and Technology (NUJST), [S.l.], v. 28, n. 2, p. 14-20, apr. 2020. ISSN 2539-553X. Available at: <>. Date accessed: 04 mar. 2021. doi: