EFFECT OF A SCALED CANTILEVER BEAM ON NATURAL FREQUENCY

Authors

  • Jhon Malta Universitas Andalas
  • Arif Gunawan Universitas Andalas
  • Lovely Son Universitas Andalas

DOI:

https://doi.org/10.21776/jrm.v14i2.1266

Keywords:

Cantilever Beam, Scaling Factor, Natural Frequency

Abstract

This paper deals with the scaling factor's effect on the cantilever beam's natural frequency. Scaling a prototype dimension will make it easier to manufacture and test the dynamic characteristics of structures with enormous sizes. Natural frequency is one of the essential parameters of the vibration characteristics of the system. The phenomenon that often occurs in vibrating structures is the resonance phenomenon. Resonance is a system state in which an abnormally large vibration is generated in response to an external stimulus, happening when the frequency of the disturbance is equal to, or nearly identical to, the natural frequency of the system. This research investigates the scale factor on natural frequency using the analytical method using Euler-Bernoulli beam theory, the MSC Nastran/Patran software, and experimental testing using an impact hammer on a cantilever beam. The three methods were applied to beams with four scaling variations: 1:1, 1:2.04, 1:2.85, and 1:3.48. Based on the results, the natural frequencies increase by the size scale reduction value in the modeling. The natural frequency value in the actual structure has a value equivalent to 1/S of the natural frequency value of the scale, whereas S is defined as the downgrade scale value. This result follows the Similitude theory.

References

Son, L., Afandi, R.,“Analisis Frekuensi Pribadi dan Modus getar Struktur Pesawat Tanpa Awak Tipe Flying Wings”, Jurnal Sistem Mekanik dan Termal (METAL), v. 2, n. 2, pp. 36-42, Oktober 2018.

Hoten, H. V., Nurbaiti, Kurniawan M., A., dan Silitonga, J., “Perbandingan Eksperimental dan Simulasi Frekuensi Pribadi pada Struktur Spindel CNC”, Jurnal Rekayasa Mesin, v. 11, n. 3, pp. 497-510, 2020.

Malta, J., Bukhari, A., and Bur, M., “Numerical and Experimental Analysis of Cantilever Beam with Various Shaft Orientation”, Prosiding Seminar Nasional Tahunan Teknik Mesin, XVI, pp. 129-132, Surabaya, Oktober 2017.

Malta, J., Jefri, Bur, M., and Satria, E., "Natural Frequencies of Twisted Cantilever Beam", IOP Conference Series: Material Science and Engineering, vol. 602, 012069, 2019.

Fahlefi, A., “Pengaruh Jarak Tumpuan Terhadap Frekuensi Pribadi Sistem Poros Rotor Overhung Melalui Eksperimen dan Simulasi Autodesk Inventor,” Skripsi S.T., Jurusan Teknik Mesin Fakultas Teknik Universitas Andalas, Padang, 2019.

Mane, P.D., Yadav, A.A., Pol, A.M. and Kumbhar, V.A., "Comparative Analysis of Natural Frequency for Cantilever Beam Through Analytical and Software Approach". International Research Journal of Engineering and Technology (IRJET), 5(2), pp. 656-671, 2018.

Kumar, Y. "The Rayleigh-Ritz Method for Linear Dynamic, Static and Buckling Behavior of Beams, Shells and Plates: A Literature Review", Journal of Vibration and Control, 24(7), pp. 1205-1227, 2018.

Marie, B., Thomsen, J.J., "Experimental Testing of Timoshenko predictions of Supercritical Natural Frequencies and Mode Shapes for Free-free Beams", Journal of Sound and Vibration, Oktober 2019.

Li, S.-C., Liang, L., and Yu, Q., "Natural Frequency of Bending Vibration for Stepped Beam of Different Geometrical Characters and Materials, Journal of Noise & Vibration Worldwide, vol. 50, issue: 1, pp. 3-12, 2018.

Soliman, E. S. M. M., "Behavior of Cracked Euler-Bernoulli Beam and Inverse Problem for Assessing Crack Severity", Journal of Noise & Vibration Worldwide, vol. 53, issue: 3, pp. 104-119, 2021.

Endriatno, N. N., “Penentuan Frekuensi Pribadi Balok Kantilever pada Dimensi yang Berbeda,” Jurnal Ilmiah Teknik Mesin, vol. 11, no. 2, p. 72, 2020.

Son, L., Bur, M., dan Rusli, M., “Pengaruh Profil dan Dimensi Penampang Kolom Terhadap Harga Frekuensi Pribadi dan Bentuk Modus Getar Struktur Bangunan Dua Lantai”, Prosiding Seminar Nasional Tahunan Teknik Mesin, XVI, pp. 118-121, Surabaya, Oktober 2017.

Kenan, H., and Azeloğlu, O., "Design of Scaled Down Model of a Tower Crane Mast by Using Similitude Theory", Journal of Engineering Structures, 220, pp. 110985. 2020.

Dewi, D. K., Abidin, Z., Budiwantoro, B. and Malta, J., "Dimensional Analysis of a Rotor System through FRF Using Transfer Function and Finite Element Methods," Journal of Mechanical Science and Technology, vol. 34, no. 5, pp. 1863-1870, 2020.

Markert, R., Strukturdynamik, 1 ed., Aachen, Shaker Verlag, 2013.

Dimarogonas, A. D., Paipetis, S. A., Chondros, T. G., Analytical Methods in Rotor Dynamics, 2 ed., Dortdrecht, Springer Verlag, 2013.

Hagedorn, P., Dasgupta, A., Vibrations and Waves in Continuous Mechanical Systems, 1 ed., West Sussex England, John Wiley & Sons Ltd., 2007.

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Published

2023-08-15

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