Statistics of vibration energy flow in randomly parametered trusses

Manohar, CS and Adhikari, S (1998) Statistics of vibration energy flow in randomly parametered trusses. In: Journal of Sound and Vibration, 217 (1). pp. 43-74.

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Abstract

The problem of determining the ensemble averages of vibration energy flow in harmonically driven trusses with random parameter variations is considered. The mass, elasticity, damping and length of the truss members are modelled as random variables. The uncertainty associated with member lengths result in randomness in truss geometry. Four different linear damping models for truss members, namely, strain rate dependent viscous/hysteretic models and velocity dependent viscous/hysteretic models are considered. The analysis employs random dynamic stiffness matrices and Monte Carlo simulation procedures. A comparison of the ensemble averages of subsystem energies obtained using this approach and those using statistical energy analysis [SEA] formalism is also made. The energy coefficient matrix arising in SEA studies is determined using the direct dynamic stiffness matrix approach. The paper illustrates the relative importance of alternative damping models and alternative sources of system randomness on the behavior of spectra of subsystem vibration energies in a 13-member truss. The uncertainties in randomness in truss geometry and the choice of damping model are shown to significantly affect the energy statistics.

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	27 Nov 2006
Last Modified:	29 Feb 2012 06:17
URI:	http://eprints.iisc.ac.in/id/eprint/9000

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