The application of Scilab software in frequency mode simulation on the circular membrane

Dwi Nova Siti Handayani, Yudhiakto Pramudya, Suparwoto Suparwoto, Muchlas Muchlas

Abstract

Scilab software is utilized for solving physics cases in two dimensional wave equations. This study aims to obtain a frequency mode simulation on the circular membrane so that it can display the wave pattern of each frequency mode. The method is to compare the simulation results with the normal mode circular membrane in each mode in to the theoretical calculation. The simulation has been done by utilizing the physics concept in a wave equation involving cos θ. The function of the wave equation is , assuming that r is the radius of the circle membrane. The value of the vibration  frequency mode in theoretical are f01 = (200.6 ± 2.0) Hz, f11 = (319.7 ± 3.1) Hz,  f21 = (428.5 ± 4.2) Hz. By using the Scilab program application, the results obtained show that the results frequency mode simulation f01, f11, dan f21 are similar to the normal mode in theoretical calculation. Thus, the simulation can be used to visualize waves of two dimensions in vibration and wave learning.

Keywords

Scilab; circular membrane; simulation; vibration

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References

Campbell, S. L., Chancelier J. P., & Nikoukhah, R. (2000). Modeling and Simulation in Scilab/Scicos. Springer

Elmore, W. C. & Heald, M. A. (1969). Physics of Waves. McGraw-Hill: United States of America

Handayani, D. N. S., Pramudya, Y., & Suparwoto. (2018). Monograf Simulasi Visualisasi Gelombang 2D dan 3D pada Membran Lingkaran dengan Software Scilab. UAD Press: Yogyakarta

Javidinejad, A. (2013). Vibration Modal Solutions Developing Of The Elastic Circular Membrane In Polar Coordinates Based On The Fourier-Bessel Series, Journal of Theoretical and Applied Mechanics, Vol. 43, No. 1, pp. 19–26

Kinsler, L. E., Frey, A. R., Coppens, A. B., & Sanders, J. V. (2000). Fundamentals of Acoustics, 4th ed. New York: John Willey & Sons.

Morse, P. M. 1948. Vibration and Sound, 2nd ed. New York: McGraw-Hill

Paulus, E., Suryani, M., Suryana, I., & Chaerani, D. (2018). Perangkat Komputasi Numerik Scilab Berbasis Open-Source: Algoritma dan Penerapannya. Deepublish Publisher: Yogyakarta

Pires, P. S. M. & Rogers, D. A. (2002). Free/Open Source Software: An Alternative For Engineering Students. 2nd ASEE/IEEE Frontiers in Education Conference ISBN 0-7803-7444-4/02

Randjawali, E. (2017). Desain Simulasi Pembentukan Bayangan pada Cermin Cembung menggunakan GUI Builder Scilab 5.5.0, Jurnal Penelitian Fisika dan Aplikasinya (JPFA), Vol 7, No 02, Desember 2017 p-ISSN: 2087-9946 e-ISSN: 2477-1775. http://dx.doi.org/10.26740/jpfa.v7n2.p102-114

Rossing, T. D. & Fletcher, N. H. (2004). Principles of Vibration and Sound 2nd Edition. Springer: New York

Sahebnasagh, M., Mirjavadi S., & Bahrami, M. N. (2011). A Novel Wave Approach Solution For Free Vibration Of Circular Membrane Using Conversion Of Standing Wave Into A Moving Wave, Journal of System Design and Dynamics, Vol.5, No. 7, pp. 1508–1517. https://doi.org/10.1299/jsdd.5.1508

Sasongko, S. B. (2010). Metode Numerik dengan Scilab. Andi Offset: Yogyakarta

Setiawardhana & Saraswati, D. A. (2018). Aplikasi Scilab dengan Arduino. Tira Smart: Tangerang

Wenjiang, L., Nanping, D., & Tongshun, F. (2009). Application of Scilab in teaching of Engineering Numerical Computations. IEEE ISBN 978-1-4244-4453-3/09

DOI: https://doi.org/10.20961/jphystheor-appl.v2i2.31274

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