What is Radial Vibration in Rotating Machinery? • Portable balancer, vibration analyzer "Balanset" for dynamic balancing crushers, fans, mulchers, augers on combines, shafts, centrifuges, turbines, and many others rotors What is Radial Vibration in Rotating Machinery? • Portable balancer, vibration analyzer "Balanset" for dynamic balancing crushers, fans, mulchers, augers on combines, shafts, centrifuges, turbines, and many others rotors

Understanding Radial Vibration in Rotating Machinery

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Definition: What is Radial Vibration?

Radial vibration is the motion of a rotating shaft perpendicular to its axis of rotation, extending outward from the center like radii of a circle. The term “radial” refers to any direction radiating from the shaft centerline, encompassing both horizontal (side-to-side) and vertical (up-and-down) motion. Radial vibration is synonymous with lateral vibration or transverse vibration and represents the most commonly measured and monitored form of vibration in rotating machinery.

In practical applications, radial vibration is typically measured in two perpendicular directions—horizontal and vertical—at each bearing location to provide a complete picture of the shaft’s motion perpendicular to its axis.

Measurement Directions

Horizontal Radial Vibration

Horizontal vibration is measured in the side-to-side direction:

  • Perpendicular to the shaft axis and parallel to the ground/floor
  • Often the most accessible measurement location
  • Typically shows effects of gravity, foundation stiffness asymmetry, and horizontal forcing functions
  • Standard measurement orientation for most vibration monitoring programs

Vertical Radial Vibration

Vertical vibration is measured in the up-and-down direction:

  • Perpendicular to the shaft axis and perpendicular to the ground/floor
  • Affected by gravity and weight of the rotor
  • Often higher amplitude than horizontal due to rotor weight creating asymmetric stiffness
  • Critical for detecting problems in vertically oriented machines (vertical pumps, motors)

Overall Radial Vibration

The total radial vibration can be calculated as the vector sum of horizontal and vertical components:

  • Radial Total = √(Horizontal² + Vertical²)
  • Represents the actual motion magnitude regardless of direction
  • Useful for single-number severity assessments

Primary Causes of Radial Vibration

Radial vibration is generated by forces acting perpendicular to the shaft axis:

1. Unbalance (Dominant Cause)

Unbalance is the most common source of radial vibration in rotating machinery:

  • Creates centrifugal force rotating at shaft speed (1X)
  • Force magnitude proportional to unbalance mass, radius, and speed squared
  • Produces circular or elliptical shaft orbit
  • Correctable through balancing procedures

2. Misalignment

Shaft misalignment between coupled machines creates both radial and axial vibration:

  • Primarily 2X (twice per revolution) radial vibration
  • Also generates 1X, 3X, and higher harmonics
  • High axial vibration accompanies radial vibration
  • Phase relationships between bearings diagnostic for misalignment type

3. Mechanical Defects

Various mechanical problems produce characteristic radial vibration patterns:

  • Bearing Defects: High-frequency impacts at bearing fault frequencies
  • Bent or Bowed Shaft: 1X vibration similar to unbalance but present even at slow roll
  • Looseness: Multiple harmonics (1X, 2X, 3X) with non-linear behavior
  • Cracks: 1X and 2X vibration with changes during startup/shutdown
  • Rubs: Sub-synchronous and synchronous components

4. Aerodynamic and Hydraulic Forces

Process forces in pumps, fans, and compressors create radial forcing:

  • Blade passing frequency (number of blades × RPM)
  • Hydraulic unbalance from asymmetric flow
  • Vortex shedding and flow turbulence
  • Recirculation and off-design operation

5. Resonance Conditions

When operating near critical speeds, radial vibration amplifies dramatically:

  • Natural frequency coincides with forcing frequency
  • Amplitude limited only by system damping
  • Potential for catastrophic vibration levels
  • Requires adequate separation margins in design

Measurement Standards and Parameters

Measurement Units

Radial vibration can be expressed in three related parameters:

  • Displacement: Actual distance of movement (micrometers µm, mils). Used for low-speed machinery and proximity probe measurements
  • Velocity: Rate of change of displacement (mm/s, in/s). Most common for general industrial machinery, basis for ISO standards
  • Acceleration: Rate of change of velocity (m/s², g). Used for high-frequency measurements and bearing defect detection

International Standards

ISO 20816 series provides radial vibration severity limits:

  • ISO 20816-1: General guidelines for machinery vibration evaluation
  • ISO 20816-3: Specific criteria for industrial machines > 15 kW
  • Severity Zones: A (good), B (acceptable), C (unsatisfactory), D (unacceptable)
  • Measurement Location: Typically on bearing housings in radial directions

Industry-Specific Standards

  • API 610: Centrifugal pumps radial vibration limits
  • API 617: Centrifugal compressors vibration criteria
  • API 684: Rotor dynamics analysis procedures for radial vibration prediction
  • NEMA MG-1: Electric motor vibration limits

Monitoring and Diagnostic Techniques

Routine Monitoring

Standard vibration monitoring programs measure radial vibration:

  • Route-Based Collection: Periodic measurements at fixed intervals (monthly, quarterly)
  • Overall Level Trending: Track total vibration amplitude over time
  • Alarm Limits: Set based on ISO or equipment-specific standards
  • Comparison: Current vs. baseline, horizontal vs. vertical

Advanced Analysis

Detailed radial vibration analysis provides diagnostic information:

  • FFT Analysis: Frequency spectrum showing vibration components
  • Time Waveform: Vibration signal over time revealing transients and modulation
  • Phase Analysis: Timing relationships between measurement points
  • Orbit Analysis: Shaft centerline motion patterns
  • Envelope Analysis: High-frequency demodulation for bearing defect detection

Continuous Monitoring

Critical equipment often has permanent radial vibration monitoring:

  • Proximity probes for direct shaft motion measurement
  • Permanently mounted accelerometers on bearing housings
  • Real-time trending and alarming
  • Automatic protection system integration

Horizontal vs. Vertical Differences

Typical Amplitude Relationships

In many machines, vertical radial vibration exceeds horizontal:

  • Gravity Effect: Rotor weight creates static deflection, affecting vertical stiffness
  • Asymmetric Stiffness: Foundation and support structures often stiffer horizontally
  • Typical Ratio: Vertical vibration 1.5-2× horizontal is common
  • Balance Weight Effect: Correction weights placed at bottom of rotor (easy access) preferentially reduce vertical vibration

Diagnostic Differences

  • Unbalance: May show more strongly in one direction depending on unbalance location
  • Looseness: Often shows non-linearity more pronounced in vertical direction
  • Foundation Issues: Vertical vibration more sensitive to foundation deterioration
  • Misalignment: May appear differently in horizontal vs. vertical based on misalignment type

Relationship to Rotor Dynamics

Radial vibration is central to rotor dynamics analysis:

Critical Speeds

  • Radial natural frequencies determine critical speeds
  • First critical speed typically corresponds to first radial bending mode
  • Campbell diagrams predict radial vibration behavior vs. speed
  • Separation margins from critical speeds prevent excessive radial vibration

Mode Shapes

  • Each radial vibration mode has characteristic deflection shape
  • First mode: simple arc bending
  • Second mode: S-curve with node point
  • Higher modes: increasingly complex patterns

Balancing Considerations

  • Balancing targets reduction of radial vibration at 1X frequency
  • Influence coefficients relate correction weights to radial vibration changes
  • Optimal correction plane locations based on radial mode shapes

Correction and Control Methods

For Unbalance

For Mechanical Problems

  • Precision alignment to correct misalignment
  • Bearing replacement for bearing defects
  • Tightening loose components
  • Foundation repairs for structural issues
  • Shaft straightening or replacement for bent shafts

For Resonance Issues

  • Speed changes to avoid critical speed ranges
  • Stiffness modifications (shaft diameter, bearing location changes)
  • Damping enhancements (squeeze film dampers, bearing selection)
  • Mass changes to shift natural frequencies

Importance in Predictive Maintenance

Radial vibration monitoring is the cornerstone of predictive maintenance programs:

  • Early Fault Detection: Changes in radial vibration precede failures by weeks or months
  • Trending: Gradual increases indicate developing problems
  • Fault Diagnosis: Frequency content identifies specific fault types
  • Severity Assessment: Amplitude indicates problem severity and urgency
  • Maintenance Scheduling: Condition-based rather than time-based maintenance
  • Cost Savings: Prevents catastrophic failures and optimizes maintenance intervals

As the primary vibration measurement in rotating machinery, radial vibration provides essential information about equipment condition, making it indispensable for ensuring reliable, safe, and efficient operation of industrial rotating equipment.


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