Abstract
Many randomly uncertain factors inevitably arise when gas flows through a labyrinth seal, and the orbit of the rotor center will not rotate along a steady trajectory, as previously studied. Here, random uncertainty is considered in an interlocking labyrinth seal-rotor system to investigate the fluctuations of dynamic coefficients. The bounded noise excitation is introduced into the momentum equation of the gas flow, and as a result, the orbit of the rotor center is expressed as the combination of an elliptic trajectory with the bounded noise perturbation. Simulation results of the coefficients under randomly uncertain perturbations with various strengths are comparatively investigated with the traditional predictions under ideal conditions, from which the influences of random uncertain factors on dynamic coefficients are analyzed in terms of the rotor speed, pressure difference, and inlet whirl velocity. It is shown that the deviation levels of the dynamic coefficients are directly related to the random perturbations and routinely increase with such perturbation strengths, and the coefficients themselves may exhibit distinct variation patterns against the rotor speed, pressure difference, and inlet whirl velocity.
Highlights
The labyrinth seal is a significant constitutional part of rotating machinery which primarily reduces internal flow leakage and isolates high- and low-pressure regions
Random uncertainties inevitably exist when gas flows through the labyrinth seal, causing random excitations to be generated and irregular deviations of the orbit motion from an elliptic trajectory
From this point of view, the rotordynamic coefficients of a seal-rotor system are investigated in our work by adopting the random uncertainty method and are rederived sequentially by adding the corresponding stochastic terms into the solving model
Summary
The labyrinth seal is a significant constitutional part of rotating machinery which primarily reduces internal flow leakage and isolates high- and low-pressure regions. The orbit will become irregular, with large errors compared with the traditional one [15,16,17] To this end, researchers use some alternative methods in solving the dynamic equation to obtain a more accurate trajectory expression in the study of the characteristics of a seal-rotor system [15,18,19,20]. Researchers use some alternative methods in solving the dynamic equation to obtain a more accurate trajectory expression in the study of the characteristics of a seal-rotor system [15,18,19,20] These methods are applicable only when the model parameters are provided or can be estimated with comprehensive knowledge of the system and flow state. Several numerical examples are employed to illustrate the present procedure
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