In this paper the application of the balanced Iterative Improved Reduction model techniques to complex rotor-bearing systems is investigated. It is demonstrated that, Iterative Improved Reduction System (IIRS) improves the matrix reductions by ensuring that the transformation matrix for each reduction is optimized. This reduction technique also benefices the problem due to skew symmetric matrices, which arises for inclusion of gyroscopic effect and internal damping. Numerical examples are solved to demonstrate the validity and efficiency of the reduced order model in representing the dynamics of the actual rotor system. Under these conditions, the complex behaviour of the rotor-shaft is studied to get an insight of the dynamic characteristics of the system, in terms of Campbell Diagram, Decay rate plot and Unbalance Response. Many researchers adopted different methodology for obtaining the model reduction but their work is limited up to undamped system. This work is started by motivation of the absentia of work for damped rotor bearing system.

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