Free Vibration Analysis of Steel Framed Structures

Document Type: Research Note


1 Department of Civil Engineering, Pabna University of Science and Technology,Pabna-6600, Bangladesh

2 Civil engineering, Rajshahi University of Engineering & Technology, Rajshahi-6204, Bangladesh

3 Civil Engineering, Rajshahi University of Engineering & Technology, Rajshahi-6204, Bangladesh

4 Civil Engineering, Rajshahi University of Engineering & Technology, Rajshai-6204, Bangladesh


This study based on free vibration analysis and study the behavior of framed structure under different frequency of vibration using ANSYS software and shaking table. A small scale uni-axial shaking table was prepared in laboratory, which can produce lower to moderate vibration, regarding frequency and velocity. Moment resisting framed structures constructed with connecting beam and column elements of mild steel wire of different dimensions were tested in shaking table and analyzed using ANSYS software. The effect of masses and stiffness of structures on its natural frequency and deflection under certain ground vibration also studied and discussed. The test results showed that, this shaking table is satisfying the general concept of free vibration. The height of structures has an inverse effect on its natural frequency for same lateral stiffness. After several shaking, structure’s natural frequency started to decreases with their decreasing stiffness. Therefore, the fabricated shaking table can used in free vibration analysis.


Main Subjects

[1] Oliveira, C.S. and Navarro, M. (2010). “Fundamental periods of vibration of RC buildings in Portugal from in-situ experimental and numerical techniques.” Bulletin of Earthquake Engineering, Vol. 8, pp. 609–642, doi: 10.1007/s10518-  009-9162-1.

[2] Xiao-Ming Z. and Han D. (2008). “Design optimization for dynamic response of vibration mechanical system with uncertain parameters using convex model.” Journal of Sound and Vibration, Vol. 318, pp. 406–415.

[3] Kohler, M.D., Davis, P.M. and Safak, E. (2005). “Earthquake and ambient vibration monitoring of the steel-frame UCLA factor building.” Earthquake Spectra, Vol. 21, Issue 3.

[4] Salama, M.I. (2014). “Estimation of period of vibration for concrete moment-resisting frame buildings.” HBRC Journal, Vol. 11, pp. 16–21, doi: 10.1016/j.hbrcj.2015.08. 001.

[5] Karavasilis, T.L., Bazeos, N. and Beskos, D.E. (2006). “Maximum displacement profiles for the performance based seismic design of plane steel moment resisting frames.” Engineering Structures, Vol. 28, pp. 9–22, doi:10.1016/j.engstruct.2005.06. 021.

[6] Kanat, B.B. (2013). “Free vibration analysis of asymmetric-plan shear wall and core buildings using one-dimensional finite element.” Arabian Journal of Science & Engineering, Vol. 38, pp. 1041–1045, doi: 10.1007/s13369-012-0343-x.

[7] Panagiotis, G.A., Constantinos, C.R., Athanasios, K.T., Fabio, D.T., Liborio, C. (2015). “Parameters affecting the fundamental period of infilled RC frame structures.” Earthquakes and Structures, Vol. 9, No. 5, pp. 999-1028, doi:

[8] Vyacheslav S.S., Igor S.K, Aleksey V.S. (2016). “Determination of the frequency of natural vibrations of a modular building.” XXV Polish – Russian – Slovak Seminar -Theoretical Foundation of Civil Engineering, Procedia Engineering Vol. 153, pp. 655 – 661.

[9] Azeloglu, C.O., Seyhan, O., Ayse, E. and Hamit, K. (2017). “Natural frequency analysis of lattice boom crane theoretically and experimentally.” International Journal of Steel Structure, Vol. 17, No. 2, pp. 757-762, doi: 10.1007/s13296-017-6029-1.

[10] Ashory, M.R., Khatibi, M.M., Jafari, M. and Malekjafarian, A. (2013). “Determination of mode shapes using wavelet transform of free vibration data.” Archive of Applied Mechanics, Vol. 83, pp. 907–921, doi: 10.1007/s00419-012-0726-1.

[11] Misir, I.S., Ozcelik, O., Girgin, S.C. and Kahraman, S. (2012). “Experimental work on seismic behavior of various types of masonry infilled RC frames.” Structural Engineering and Mechanics Vol. 44 No. 6, pp. 763-774.

[12] Arslan, M.E. and Durmus, A. (2014). “Modal  parameter identification of in-filled RC frames with low strength concrete using ambient vibration.” Structural Engineering and Mechanics, Vol. 50, No. 2, pp. 137-149.

[13] Behrouz, A., Hamideh, K. and Masoud, M. (2012). “Performance evaluation of different types of steel moment resisting frames subjected to strong ground motion through incremental dynamic analysis.” International Journal of Steel Structure, Vol. 12, No. 3, pp. 363-379, doi: 10.1007/s13296-012-3006-6.

[14] Kien, L.T., Kihak, L., Jaehong, L., and Do-Hyung, L. (2012). “Seismic demand evaluation of steel MRF buildings with simple and detailed connection models” International Journal of Steel Structure, Vo. 10, No. 1, pp. 15-34.

[15] Michał, G. (2007). “Free vibrations analysis of thin plates by the boundary element method in non-singular approach.” Scientific Research of the Institute of Mathematics and Computer Science Vol. 6, No. 1, pp. 75-90, website:

[16] Donglin, W. and Li, W. (2011). “Nonlinear analysis of the new composite frame structure.” International Journal of Nonlinear Science, Vol. 11, No. 2, pp. 213-219.

[17] Seung, E.K., Dong-Ho, L. and Cuong, N.H. (2007). “Shaking table tests of a two-story unbraced steel frame.” Journal of Constructional Steel Research, Vol. 63, pp. 412–421.

[18] Bahador, B., Kwang-Yong, C., Sang-Hoon, O. and Hong-Sik, R. (2016). “Shaking table test for evaluating the seismic response characteristics of concentrically braced steel structure with and without hysteretic dampers.” International Journal of Steel Structure, Vol. 16, No. 1, pp. 23-39, doi: 10.1007/s13296-016-3003-2.

[19] Tian, C., Xiao, C., Zhang, H. and Cao, J. (2012). “Shaking Table Test and Seismic Performance Evaluation of Shanghai Tower.” International Journal of High-Rise Building, Vol. 1, No. 3, pp. 221-228.

[20] Sanghvi, C.S., Patil, H.S. and Shah, B.J. (2012). “Development of low cost shake tables and instrumentation setup for earthquake engineering laboratory.” International Journal of Advanced Engineering & Technology, Vol. III, pp. 46-49.

[21] Tiwari, D. and Patel, A. (2014) “Development and instrumentation of low cost shake table.” International Journal of Science and Research, Vol. 3, pp. 1310-1312.

[22] Katie, W., Robert, J.B. and Jimmy, F. (2001). “Earthquake shake table.” web: jdiehl/ETM.pdf, Accessed 14 August 2017.

[23] Jefferson lab (2007). “An earthquake simulation table.” Thomas Jefferson National Accelerator facility, Office of science education, U.S. Department of Energy,, Accessed 26 July 2017

[24] USGS (2002). “Earthquake Magnitude Policy.” (implemented on January 18, 2002): United States Geological Survey, January 30, 2014. Web:, accessed 14 August 2017.

[25] Ferdinand, P., Johnston, E.R., DeWolf and Maurek (2008). “Mechanics of Materials.” 5th Edition, Tata McGraw-Hill Publishers, ISBN-13: 9780077221409.

[26] Chopra, A.K. (1995). “Dynamics of Structures: Theory and Applications to Earthquake Engineering.” University of California at Berkeley, prentice Hall, Englewood Cliffs, New Jersey 07632, ISBN 0-13-855214-2.