Vibration spectrum

I understand it pretty well, but how should I proceed?

I. Rotor Imbalance – Vibrational characteristics of rotor mass eccentricity 1 2 3 4 5 6 7 8 Characteristic frequency, Associated frequencies, Vibrational stability, Direction of vibration, Phase characteristics, Axis trajectory, Direction of precession, Vector region: 1× Stable, Radial, Stable, Elliptical, Prograde precession, Unchanged. Changes in vibration due to rotor mass eccentricity as a function of sensitive parameters: 1 2 3 4 5 6 Depending on speed, load, oil temperature, flow rate, pressure; Other identification methods: Apparent, Not apparent, Unchanged, Unchanged, Unchanged. Vibrations tend to zero at low speeds. Causes of rotor mass eccentricity issues: Sources of the problem: 1 2 3 4 Design, manufacturing, Installation, maintenance, Operation, Machine degradation. Main causes: Unreasonable structure, large manufacturing errors, uneven material quality, low dynamic balance level. Misalignment of components on the rotor, Scaling on the rotor, Loose fit between rotor components. Vibrational characteristics of defective rotor components: 1 2 3 4 5 6 7 8 Characteristic frequency, Associated frequencies, Vibrational stability, Direction of vibration, Phase characteristics, Axis trajectory, Direction of precession, Vector region: 1× Stabilizes after an increase, Radial, Stabilizes after a sudden change, Elliptical, Prograde precession, Stabilizes after a sudden change. Changes in vibration due to defective rotor components as a function of sensitive parameters: 1 2 3 4 5 6 Depending on speed, load, oil temperature, flow rate, pressure; Other identification methods: Apparent, Not apparent, Unchanged, Unchanged, Unchanged. Sudden increase in amplitude. Causes of defective rotor components: Sources of the problem: 1 2 3 4 Design, manufacturing, Installation, maintenance, Operation, Machine degradation. Main causes: Unreasonable structure, large manufacturing errors, uneven material quality. Excessive preload on the rotor. 1. Operating above speed or load limits. 2. Local damage or detachment of components. Corrosion and fatigue of the rotor, stress concentration. II. Rotor Bending – Vibrational characteristics of rotor bowing 1 2 3 4 5 6 7 8 Characteristic frequency, Associated frequencies, Vibrational stability, Direction of vibration, Phase characteristics, Axis trajectory, Direction of precession, Vector region: 1× 2× Stable, Radial, axial, Stable, Elliptical, Prograde precession. The starting point of the vector is large and increases as operation continues. Changes in vibration due to rotor bowing as a function of sensitive parameters: 1 2 3 4 5 6 Depending on speed, load, oil temperature, flow rate, pressure; Other identification methods: Apparent, Not apparent, Unchanged, Unchanged, Unchanged. 1) The vibration amplitude is high already at low speeds when accelerating； 2) The phase difference at both ends of the rigid rotor is 180 degrees ； Causes of rotor arc-shaped bending Fault sources 1 2 3 4 Design, manufacturing Installation, maintenance Operation, handling Machine degradation Main causes Unreasonable structure, large manufacturing errors, uneven material quality 1. Improper storage of the rotor, resulting in permanent deformation 2. Misaligned bearing installation, high preload High-speed, high-temperature machines; failure to rotate the rotor promptly after shutdown Poor thermal stability of the rotor, leading to natural bending over time Vibration characteristics of temporary rotor bending 1 2 3 4 5 6 7 8 Characteristic frequency Associated frequencies Vibration stability Direction of vibration Phase characteristics Path of the axis Direction of precession Vector area 1× Stable Radial, axial Stable Elliptical Positive precession Increases during acceleration, decreases after stabilization Changes in vibration due to sensitive parameters 1 2 3 4 5 6 Dependence on speed Dependence on load Dependence on oil temperature Dependence on flow rate Dependence on pressure Other identification methods Obvious Not obvious Unchanged Unchanged Unchanged Large amplitude during acceleration; often fails to start properly Causes of temporary rotor bending Fault sources 1 2 3 4 Design, manufacturing Installation, maintenance Operation, handling Machine degradation Main causes Unreasonable structure, large manufacturing errors, uneven material quality High preload on the rotor Too rapid acceleration, excessive loading Poor stability of the rotor III. Rotor misalignment Vibration characteristics of rotor misalignment 1 2 3 4 5 6 7 8 Characteristic frequency Associated frequencies Vibration stability Direction of vibration Phase characteristics Path of the axis Direction of precession Vector area 2× 1×, 3× Stable Radial, axial Relatively stable Double-ring ellipse Positive precession Unchanged Changes in vibration due to sensitive parameters 1 2 3 4 5 6 Dependence on speed Dependence on load Dependence on oil temperature Dependence on flow rate Dependence on pressure Other identification methods Obvious Obvious Influential Influential Influential 1) Larger axial displacement of the rotor 2) Increased vibration at bearings adjacent to the coupling 3) Vibration increases with increasing load 4) Sensitive to changes in ambient temperature Causes of rotor misalignment Fault sources 1 2 3 4 Design, manufacturing Installation, maintenance Operation, handling Machine degradation Main causes Insufficient thermal expansion, inaccurate alignment requirements 1. Installation accuracy does not meet technical specifications 2. Insufficient consideration given to misalignment under hot conditions 1. Overloading 2. Poor insulation, resulting in different thermal deformations in various parts of the shafting 1. Uneven foundation settlement, poor alignment 2. Large fluctuations in ambient temperature, leading to different thermal deformations of the machine

Good, it just feels like the introduction isn’t complete yet! ! !

Could you explain in detail? What do 1, 2, 3, 4…… represent? Are they counts or frequencies?