Understanding Shaft Whip in Rotating Machinery
Definition: What is Shaft Whip?
Shaft whip (also called oil whip when occurring in hydrodynamic bearings) is a severe form of rotor instability characterized by violent self-excited vibration that occurs when a rotor operating in fluid-film bearings exceeds a critical threshold speed, typically about twice the first critical speed. Once whip occurs, the vibration frequency “locks” onto the rotor’s first natural frequency and remains there regardless of further speed increases, with amplitude limited only by bearing clearances or catastrophic failure.
Shaft whip is one of the most dangerous conditions in high-speed rotating machinery because it develops suddenly, grows to destructive amplitudes within seconds, and cannot be corrected by balancing or other conventional methods. It requires immediate shutdown and bearing system modifications to prevent recurrence.
The Progression: Oil Whirl to Shaft Whip
Stage 1: Stable Operation
- Rotor operates below instability threshold
- Only normal forced vibration from unbalance present
- Bearing oil film provides stable support
Stage 2: Oil Whirl Onset
As speed increases past approximately 2× the first critical speed:
- Oil whirl develops—sub-synchronous vibration at ~0.43-0.48× shaft speed
- Amplitude is initially moderate and speed-dependent
- Frequency increases proportionally with shaft speed
- May be intermittent or continuous
- Can coexist with normal 1X vibration from unbalance
Stage 3: Whip Transition
When oil whirl frequency increases to match the first natural frequency:
- Frequency Lock-In: Vibration frequency locks at natural frequency
- Resonant Amplification: Amplitude grows dramatically due to resonance
- Sudden Onset: Transition from whirl to whip can be instantaneous
- Speed Independence: Further speed increases don’t change frequency, only amplitude
Stage 4: Shaft Whip (Critical Condition)
- Vibration at constant frequency (first natural frequency, typically 40-60 Hz)
- Amplitude 5-20 times higher than normal unbalance vibration
- Shaft may contact bearing clearance limits
- Rapid heating of bearings and oil
- Potential for catastrophic failure within minutes if not shut down
Physical Mechanism
How Oil Whip Develops
The mechanism involves fluid dynamics in the bearing oil film:
- Oil Wedge Formation: As shaft rotates, it drags oil around the bearing, creating a pressurized wedge
- Tangential Force: The oil wedge exerts a force perpendicular to the radial direction (tangential)
- Orbit Motion: Tangential force causes shaft center to orbit at approximately half shaft speed
- Energy Extraction: System extracts energy from shaft rotation to sustain orbital motion
- Resonance Lock: When orbit frequency matches natural frequency, resonance amplifies vibration
- Limit Cycle: Vibration grows until limited by bearing clearance or failure
Diagnostic Identification
Vibration Signature
Shaft whip produces characteristic patterns in vibration data:
- Spectrum: Large peak at sub-synchronous frequency (first natural frequency), constant regardless of speed changes
- Waterfall Plot: Sub-synchronous component appears as vertical line (constant frequency) rather than diagonal (speed-proportional)
- Order Analysis: Fractional order that decreases as speed increases (e.g., changes from 0.5× to 0.4× to 0.35×)
- Orbit: Large circular or elliptical orbit at natural frequency
Onset Speed
- Typical Threshold: 2.0-2.5× first critical speed
- Bearing-Dependent: Specific threshold varies with bearing design, preload, and oil viscosity
- Sudden Onset: Small speed increase can trigger rapid transition from stable to unstable
Prevention Strategies
Bearing Design Modifications
1. Tilting Pad Bearings
- Most effective solution for preventing shaft whip
- Pads pivot independently, eliminating destabilizing cross-coupling forces
- Inherently stable across wide speed ranges
- Industry standard for high-speed turbomachinery
2. Pressure Dam Bearings
- Modified cylindrical bearing with grooves or dams
- Increases effective damping and stiffness
- Less expensive than tilting pad but less effective
3. Bearing Preload
- Applying radial preload to bearings increases stiffness
- Raises threshold speed for instability
- Can be achieved through offset bore designs
4. Squeeze Film Dampers
- External damping element surrounding bearing
- Provides additional damping without changing bearing design
- Effective for retrofit applications
Operational Measures
- Speed Limitation: Restrict maximum operating speed to below threshold (typically < 1.8× first critical)
- Load Management: Operate at higher bearing loads when possible (increases damping)
- Oil Temperature Control: Lower oil temperature increases viscosity and damping
- Monitoring: Continuous vibration monitoring with alarms set for sub-synchronous components
Consequences and Damage
Immediate Effects
- Violent Vibration: Amplitudes can reach several millimeters (hundreds of mils)
- Noise: Loud, distinctive sound different from normal operation
- Rapid Bearing Heating: Bearing temperatures can rise 20-50°C in minutes
- Oil Degradation: High temperatures and shearing degrade lubricant
Potential Failures
- Bearing Wipe: Bearing babbit material melts and is wiped away
- Shaft Damage: Scoring, galling, or permanent bending
- Seal Failure: Excessive shaft motion destroys seals
- Shaft Breakage: High-cycle fatigue from violent oscillation
- Coupling Damage: Transmitted forces damage couplings
Related Phenomena
Oil Whirl
Oil whirl is the precursor to whip:
- Same mechanism but frequency hasn’t locked onto natural frequency
- Less severe amplitude
- Frequency proportional to speed (~0.43-0.48×)
- May be tolerable in some applications
Steam Whirl
Similar instability in steam turbines caused by aerodynamic forces in labyrinth seals rather than bearing oil films. Exhibits similar sub-synchronous vibration locking onto natural frequency.
Dry Friction Whip
Can occur at seal locations or from rotor-stator contact:
- Friction forces provide destabilizing mechanism
- Less common than oil whip but equally dangerous
- Requires different corrective approach (eliminate contact, improve seal design)
Case Study: Compressor Shaft Whip
Scenario: High-speed centrifugal compressor with plain cylindrical bearings
- Normal Operation: 12,000 RPM with vibration of 2.5 mm/s
- Speed Increase: Operator increased to 13,500 RPM for higher capacity
- Onset: At 13,200 RPM, sudden violent vibration developed
- Symptoms: 25 mm/s vibration at 45 Hz (constant), bearing temperature rose from 70°C to 95°C in 3 minutes
- Emergency Action: Immediate shutdown prevented bearing failure
- Root Cause: First critical speed was 2700 RPM (45 Hz); whip threshold at 2× critical = 5400 RPM was exceeded
- Solution: Replaced plain bearings with tilting pad bearings, allowing safe operation to 15,000 RPM
Standards and Industry Practice
- API 684: Requires stability analysis for high-speed turbomachinery
- API 617: Specifies bearing types and stability requirements for compressors
- ISO 10814: Provides guidance on bearing selection for stability
- Industry Practice: Tilting pad bearings standard for equipment operating above 2× first critical speed
Shaft whip represents a catastrophic failure mode that must be prevented through proper bearing selection and design. Recognition of its distinctive sub-synchronous, frequency-locked vibration signature enables rapid diagnosis and appropriate emergency response, preventing expensive damage to critical high-speed rotating equipment.