ANALYSIS OF VIBRATOR FOR SOMPOTON USING CANTILEVER BEAM MODEL

ABSTRACT. One of the famous heritages in Sabah is the traditional musical instrument called sompoton. This instrument has several parts with the vibrator being the most important of all. In this paper, the vibrator is modeled as a cantilever beam with uniformly distributed mass. Using this model, the fundamental frequency is analyzed using Rayleigh’s energy theory. The vibrator made from aluminum is fabricated at different dimensions and is excited using constant air jet to obtain its fundamental resonance frequency. The measured fundamental frequency is then compared with the theoretical values calculated based on cantilever beam model and Rayleigh’s energy theories. It was found that the experimental and theoretical results exhibit the same trend but differ in magnitude. To overcome this, a correction factor is added to the theoretical formulation to account for fabrication error.

KEYWORDS. Vibrator, cantilever beam, Rayleigh’s energy theory, resonance frequency, single degree of freedom system.

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REFERENCES

Bansal, R. K. 2010. A Text Book of Strength of Materials (4th ed). Daryaganj, New Delhi: Laxmi Publications (P) Ltd.

Erkut, C., Karjalainen, M., Huang, P., & Välimäki, V. 2002. Acoustical Analysis and Model Based Sound Synthesis of the Kantele. Journal of the Acoustical Society of America, 112(4): 1681-1691.

Gere, J. M., & Goodno, B. J. 2008. Mechanics of Materials (7th ed). Toronto, Kanada: Cengage Learning.

Hopkin, B. 1996. Musical Instrument Design: Practical Information for Instrument Design. Tucson, Arizona: See Sharp Press.

Ismail, A., Samad, S. A., Hussain, A., Azhari, C. H., & Zainal, M. R. M. 2006. Analysis of the Sound of the Kompang for Computer Music Synthesis. IEEE 4th Student Conference on Research and Development (SCOReD 2006). 27-28 June 2006, Shah Alam, Selangor, Malaysia.

Marasan, R. 2003. Alat Muzik Sompoton Negeri Sabah. Pejabat Kebudayaan dan Kesenian Negeri Sabah, Sabah, Malaysia.

Merriman, M. 1924. Mechanics of Materials. John Wiley & Sons.

Ong, C. W., & Dayou, J. 2009. Frequency Characteristic of Sound from Sompoton Musical Instrument. Borneo Science, 25: 71-79.

Rujinirum, C., Phinyocheep, P., Prachyabrued, W., & Laemsak, N. 2005. Chemical Treatment of Wood for Musical Instruments. Part I: Acoustically Important Properties of Wood for the Ranad (Thai Traditional Xylophone). Wood Science and Technology, 39(1): 77-85.

Serway, R. A., & Jewett, J. W. 2006. Principles of Physics: A Calculus-Based Text, 4th Edition (Available 2010 Titles Enhanced Web Assign)., USA: Brooks/Cole-Thomson Learning.

Someya, S., & Okamoto, K. 2007. Measurement of the Flow and Its Vibration in Japanese Traditional Bamboo Flute Using the Dynamic PIV. Journal of Visualization, 10(4): 397-404.