Pengaruh Mode Shape Frekuensi Alami terhadap Estimasi Gaya Tarik Batang Baja dengan Metode Vibrasi

Guntur Nugroho

Abstract


The vibration method has been widely applied to estimate the force on cable structures as well as beams. This method utilizes the natural frequency of structural elements in estimating tensile as well as compressive forces. On the cable element, a different natural frequency will appear according to the shape number. This study raises the suitability of force estimation by using the natural frequency of the first second and third modes. The steel specimen have cross section of width, thickness and length of 6 mm, 40 mm and 2000 mm respectively. The results of natural frequency, calculated by using analytic formulas (string, beam-string and stokey) has been compared with the natural frequency resulted by numerical modeling. The difference of  natural frequency of specimen calculated by using analytic formulas (strings, beam-strings, stokey), compared with the result of numerical modeling  has the smallest value in the first mode which is 3.75% at 5,000N load and 0.61% at 50,000N load.


Keywords


natural frequency, mode shape, vibration method

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References


Humar, J. L. (1990). Dynamics of structures, Prentice Hall, Upper SaddleRiver, NJ.

Irvine, H. M, (1981). Cable Structure, MIT Pers, Cambridge, M.A, USA.

Saxon dan Chan (1953) Mode of vibration of a suspended chain. Quarterly Journal of Mechanics and Applied Mathemathics, Vol.6, No.6, pp. 273-285.

Shimada, T. (1994). Estimating method of cable tension from natural frequency of high mode. Proc. JSCE, 501(1–29), 163–171.

Stokey.W.F,(1998), Vibration of Systems having distributed mass and elasticity, 4th Edition, McGraw-Hill.




DOI: https://doi.org/10.18196/st.212226

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