Abstract
Steady-state oscillations of two-bearing console rotor with mass imbalance and disc misalignment are subject to study. External damping forces can be included into any motion equations. This enables us to generate amplitude-frequency and phase-frequency responses, and to describe rotor behavior at critical speeds. The combined mass imbalance and disc misalignment effect on rotor dynamics can be observed over the entire shaft speed range. Detection of residual phase shift angles at low speeds is practically relevant. This is extremely important for rotor balancing as low-speed measuring findings are used to evaluate mass eccentricity lines. To determine an unknown orientation of disc misalignment line, you can use phase shift angle values at high rotation speeds. The residual phase shift angles are studied depending on combined imbalance and shaft console value. Motion equations and all calculation formulas are given in a compact and dimensionless form.
Highlights
High-speed rotary machines are known to be widely used in a variety of industries
Numerical computations of some typical rotor geometry options include the following dimensionless parameters: mass eccentricity and disc misalignment angle are equal to ε=0.01 and τ=0.02, while the external damping ratio and console ratio are equal to χ =0.01 and a/L=0.25
We have studied the steady-state oscillations of two-bearing console rotor with mass imbalance and disc misalignment
Summary
High-speed rotary machines are known to be widely used in a variety of industries (electric power, electronic and radio engineering, food, light, chemical, oil, medical, metallurgical, space, nuclear industries, etc.). There are many unsolved problems, in particular attributable to combined mass imbalance and disc misalignment effect on the oscillations and stability, and other problems related to balancing unbalanced rotary machine parts. The works of Gordeyev & Maslov (2008), Artyunik (1992) consider various balancing methods for mass imbalance, but do not cover the effect of rotor disc misalignment. We can describe correctly the amplitude-frequency and phase-frequency rotor response curves, evaluate the impact of mass imbalance and disc misalignment on them, shaft overhanging and external damping, as well as to compare the oscillation amplitudes at critical speeds
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