Idealisation and Formulation in Structural Dynamics Using Modal Analysis

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Abstract:

The crux feature of this paper is the equations of motion in a structural dynamics with respect to single reference frame that can be easily derived, and the results are well defined and converged. However, problem occurs, when the analysis of any complex, complicated structure is considered and its equation of motion is extracted with respect to single reference frame. The results are indecipherable, ambiguous and less converged. Thus, for such a complex structure, the results obtain with respect to multiple reference frames. In present study, an approximated model with a set of lumped masses, properly interconnected, along with discrete spring and damper elements are in consideration for continuous vibrating system. This results in dynamic equilibrium, which in turn results in formulation and idealization. As, rightly said by scientist Steve Lacy- “To me, there is spirit in a reed. It is a living thing, a weed, really and it does not contain spirit of sort. It’s really an ancient vibration”

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Periodical:

Advanced Materials Research (Volumes 418-420)

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1022-1025

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December 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] S.Nima Mahmoodi and Nader Jalili.," Non-linear vibrations and frequency response analysis, "International Journal of Non-Linear Mechanics, Vol.42, 2007, pp.577-579.

DOI: 10.1016/j.ijnonlinmec.2007.01.019

Google Scholar

[2] Hong Hee Yoo , Jung Min Kim and Jintai Chung.,"Equilibrium and modal analyses of rotating multibeam structures using single reference frame," Journal of Sound and Vibration,Vol.302, 2007, p.789, 799.

DOI: 10.1016/j.jsv.2006.12.015

Google Scholar

[3] A.Shabana and R.Wehage.,"Variable degree of freedom component mode analysis of inertia variant flexible mechanical systems," Journal of Mechanical Design, Vol.82, 1982,pp.1-8.

DOI: 10.1115/1.3267370

Google Scholar

[4] D.Choi, J.Park and H.Yoo."Modal analysis of constrained multibody systems undergoing rotational motion," Journal of Sound and Vibration, Vol.280, 2005, pp.63-76.

DOI: 10.1016/j.jsv.2003.12.011

Google Scholar

[5] A.Shabana, Dynamics of Multibody Systems, Cambridge University Press, Cambridge, 1998. [6] Fundamentals of Vibration by Clawrence De. Silva, pp.345-3689

Google Scholar