Structural Dynamic Modification of a Cantilever Beam using Model Updating Method

R.J.V. Anil Kumar*, Y. Venkata Mohana Reddy**, K. Prahlada Rao***
* Lecturer, Department of Mechanical Engineering, JNTUA College of Engineering, Anantapur, India.
** Professor and HOD, Department of Mechanical Engineering, GPREC, Kurnool, India.
*** Professor and Principal, JNTUA College of Engineering, Anantapur, India.
Periodicity:February - April'2016
DOI : https://doi.org/10.26634/jme.6.2.4888

Abstract

This paper deals with evaluation of the natural frequencies of a cantilever beam with fixed dimensions and material. The necessary boundary conditions are applied and the natural frequencies are evaluated by 3 methods viz a) analytically, by using relevant formulae, b) by using the concepts of FEM and MATLAB software, and c) by experimental analysis.

There will be a discrepancy in the above values of the natural frequencies. The experimental value is taken as a benchmark and the deviation of the value by analytical and FEM methods are minimized or the dynamic characteristics of the beam structure are improved by employing the principles of Structural Dynamic Modification (SDM). Model updating is one of the techniques of SDM used to converge the values of the natural frequencies closer to the experimental value.

Keywords

SDM, Natural Frequency, Model Updating

How to Cite this Article?

Kumar, R. J. V. A., Reddy, Y. V. M., and Rao, K. P. (2016). Structural Dynamic Modification of a Cantilever Beam Using Model Updating Method. i-manager’s Journal on Mechanical Engineering, 6(2), 17-22. https://doi.org/10.26634/jme.6.2.4888

References

[1]. T.K. Kundra (2000). “Structural dynamic modifications via models”. Sadhana, Vol. 25(3), pp. 261-276.
[2]. H. Nevzat Ozguven, (1990). “Structural modifications using frequency response functions”. Mechanical Systems and Signal Processing,Vol.4(1), pp. 53-63.
[3]. Yong Hwa Park and Youn Sik Park, (2000). “Structure optimisation to enhance its natural frequencies based on measured frequency response functions”. Journal of Sound and Vibration, Vol.229(5), pp.1235-1255.
[4]. Keng C. Yap and David Zimmerman, (2002). “A comparative study of structural dynamic modification and sensitivity method approximation”. Mechanical Systems and Signal Processing, Vol.16(4), pp. 585-597.
[5]. M.Lakshmi Kanta Reddy, Y. Venkata Mohana Reddy and K. Vijayakumar Reddy, (2008). “Structural dynamic optimization for shifting of natural frequency using higher order eigen sensitivity derivatives with multiplier method”. International Conference on Fascinating Advancement in Mechanical Engineering, pp.11-13.
[6]. Yong Xin Yuan and Hua Dai, (2009). “A generalized inverse eigen value problem in structural dynamic model updating Elsevier”. Journal of Computational and Applied Mathematics, Vol.226(1), pp.42-49.
[7]. Vikas Arora, S.P. Singh and T K Kundra, (2009). “Damped FE model Updating using updating parameters: Its use for dynamic design”. Journal of Sound and Vibration, Vol.324, pp.350-364.
[8]. S. Lammens, W. Heylen and P. Sas, (1992). “Model updating and structural optimization of a tennis racket”. Mechanical Systems and Signal Processing, Vol.6(5), pp. 461-468.
[9]. W.T. Thompson, (1998). Theory of vibration with rd applications. 3 Edition Prentice Hall.
[10]. M. Nad, (2007). “Structural dynamic modification of vibrating systems”. Applied and Computational Mechanics, Vol.1, pp. 203-214.
[11]. Rajiv Singh Bais, A.K. Gupta B.C. Nakra and T.K. Kundra, (2004). “Studies in Dynamic Design of drilling Machines using Updated Finite Element models”. Mechanism and Machine Theory, Vol.39, pp.1307-1320.
[12]. Brain Schwarz, Mark Richardson and David L. Formenti, (2007). “FEA Model Updating using SDM”. Sound and Vibration, pp.18-22.
[13]. Natasa Trisovic, (2007). “Modification of the Dynamic Characteristics”. Structural Dynamic Analysis FACTA UNIVERSITATIS, Vol.5(1), pp.1-9.
[14]. R.J.V. Anil Kumar, Y. Venkata Mohana Reddy and K. Prahlada Rao, (2016). “Comparitive Analysis of Natural Frequencies of Beam Elements with Varying Cross Sections and end Conditions”. International Journel of Engineering Trends and Technology, Vol.33, No.5, pp.228-235.
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