Turbine Rotor Dynamics Models Considering Foundation and Stator Effects

Abstract

The paper deals with the modelling of turbine rotors, including a foundation and stator parts, and with their dynamic analysis. The dynamics of turbines can be strongly influenced by the effects of a rotor foundation, and therefore suitable modelling approaches should be developed to obtain proper analysis tools. The standard methods for the modelling of rotating shafts are summarized in the paper, and two approaches to including foundation effects into dynamic models are introduced. The approach based on the dynamic compliance of the foundation with respect to the rotor angular velocity is compared with the approach based on the modal synthesis of rotor and foundation models. The calculation of modal properties is then demonstrated, and the characteristics of both presented methods are discussed. A comparison of the steady-state dynamic response calculated using both methods is shown. It can be concluded that both approaches can be advantageously used for several analyses, and our final recommendations are given in the conclusions.

Balancing of Flexible Rotors Supported on Fluid Film Bearings by Means of Influence Coefficients Calculated by the Numerical Assembly Technique

“…In further research, this problem will be addressed, by supplementing the proposed method with other state-of-the-art techniques. The method of the complex dynamic matrix of compliances is well suited to calculate the foundation and support behavior of rotating systems [40].…”

Dynamic Characteristic Analysis of the Multi-Stage Centrifugal Pump Rotor System with Uncertain Sliding Bearing Structural Parameters

“…Machines 2022, 10, x FOR PEER REVIEW 3 of 19 analysis of rotor system with uncertainty [19,20]. Therefore, this paper presents a method to study the dynamic characteristics of the multi-stage centrifugal pump rotor system, where the structural parameters of the sliding bearing are uncertain because of the manufacture errors.…”

“…Although effects of the manufacturing errors on the dynamic characteristics of the sliding bearing have already been investigated, how the manufacturing errors further affect the dynamic characteristics of the sliding bearing-rotor system have not been studied. Moreover, many studies have already found that the parameter disturbances of the rotor system can affect its stability and provided theoretical methods to perform the dynamic analysis of rotor system with uncertainty [19,20]. Therefore, this paper presents a method to study the dynamic characteristics of the multi-stage centrifugal pump rotor system, where the structural parameters of the sliding bearing are uncertain because of the manufacture errors.…”

Model Reduction of Rotor-Foundation Systems Using the Approximate Invariant Manifold Method

“…Throughout this work, the bars denotes that the displacements are not measured from the equilibrium position. The equation of motion of the system can be written in general form as [13,14,19],…”

“…- Figures [17][18][19] show the radial displacements and orbits at several points of the rotor-foundation system for Ω = 3000 rpm and Ω = 4000 rpm: of the rotor at bearing 1 (node 6 in Fig. 1a), disk 2 (node 15 in Fig.…”