Open Access

ABSTRACT

Determination of response spectrum of a linear time invariant gyroscopic system to random excitations using finite element method

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1 Universiti Teknologi PETRONAS, Tronoh, Perak, Malaysia, Email: sibi_chacko@petronas.com.my

The International Conference on Computational & Experimental Engineering and Sciences 2009, 9(1), 33-44. https://doi.org/10.3970/icces.2009.009.033

Abstract

In this work, dynamic analysis of a compliant shaft while it rotates about its axis has been carried out using Finite Element Method. This system is linear time invariant gyroscopic system. The governing equations are formulated for the shaft supported at both ends. Both ends of the shaft are supported to allow rotations by constraining all degrees of freedom, except axial rotations. The shaft is modeled using beam elements, with six degrees of freedom at the nodes. The effect of rotation on displacements is analysed by assessing the total kinetic energy and potential energy. In this work dynamic response of the shaft while rotating, excited by random forces at various points are analysed along with free vibration analysis.

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