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The stability analysis of a two-spool rotor system undergoing rub-impact

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Abstract

The main objective of the present paper is to determine the influence of rub parameters on the stability of a two-spool rotor system undergoing rub-impact. The parameters such as rotor–stator contact stiffness, coefficient of friction and clearance are varied for understanding their effects on the system response and stability. Moreover, the analysis is performed for two modes of rotor operations, namely co-rotation and counter-rotation, and determines their impacts on rotor–stator rubbing. A time variational method is employed to predict the nonlinear response of the system with a perturbation function applied at the steady-state solution points to investigate their stability. Two types of bifurcations, namely limit point and Neimark–Sacker bifurcations, are observed in the response by monitoring the Floquet exponents of the perturbed system. As the coefficient of friction is increased, the early onset of NS bifurcation has happened and the system enters into the quasi-periodic regime early. However, when the contact stiffness and clearance values are increased, the onset of NS bifurcation is delayed. It is also observed that the response characteristics of the co- and counter-rotating systems are entirely different. The separation between forward and backward whirling frequencies is reduced for the counter-rotating system due to the cancellation of gyroscopic moments. In addition, for the same set of parameters, the counter-rotating system enters into the quasi-periodic regime quickly once the disk starts rubbing.

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  1. Department of Aerospace Engineering, Indian Institute of Space Science and Technology, Thiruvananthapuram, 695547, India

    K. Prabith & I. R. Praveen Krishna

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  1. K. Prabith
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  2. I. R. Praveen Krishna
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Correspondence to I. R. Praveen Krishna.

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Prabith, K., Krishna, I.R.P. The stability analysis of a two-spool rotor system undergoing rub-impact. Nonlinear Dyn 104, 941–969 (2021). https://doi.org/10.1007/s11071-021-06370-x

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  • DOI: https://doi.org/10.1007/s11071-021-06370-x

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