Understanding Sound Pressure Level
Definition: What is Sound Pressure Level?
Sound pressure level (SPL) is the logarithmic measure of acoustic pressure relative to a reference pressure, expressed in decibels (dB). For machinery, SPL quantifies noise emission intensity—the loudness of sound radiated by equipment—measured with microphones or sound level meters at specified distances. SPL correlates with vibration because vibrating surfaces radiate sound, making acoustic measurements complementary to vibration analysis for machinery condition assessment, particularly for diagnosing aerodynamic, gear, and bearing problems that produce characteristic tonal or broadband noise signatures.
While primarily an occupational health and environmental concern (hearing protection, noise regulations), SPL measurements provide diagnostic value: noise changes often precede or accompany mechanical degradation, and acoustic analysis can identify specific faults through characteristic frequency patterns similar to vibration spectra.
Mathematical Expression
Formula
- SPL (dB) = 20 × log₁₀(P / P₀)
- Where P = measured sound pressure (Pa)
- P₀ = reference pressure = 20 µPa (threshold of human hearing)
- Logarithmic scale accommodates huge pressure range
Decibel Scale
- 0 dB: Threshold of hearing
- 30-40 dB: Quiet room
- 60-70 dB: Normal conversation
- 80-90 dB: Noisy machinery, hearing protection recommended
- 100-110 dB: Very loud machinery, hearing protection required
- 120+ dB: Pain threshold, immediate hearing damage
Measurement
Sound Level Meters
- Precision microphone
- Frequency weighting (A, C, or Z)
- Time weighting (fast, slow, impulse)
- Display in dB SPL
- Class 1 (precision) or Class 2 (general) per IEC 61672
Measurement Distance
- Near Field: < 1 meter from source (proximity measurements)
- Far Field: > 1 meter (free-field measurements)
- Standard: Often 1 meter for machinery
- SPL Decreases: ~6 dB per doubling of distance (free field)
Frequency Weighting
- A-Weighting: Mimics human ear sensitivity, most common
- C-Weighting: Relatively flat, includes low frequencies
- Z (Linear): No weighting, all frequencies equal
- Units: dBA, dBC, dBZ (indicates weighting used)
Relationship to Vibration
Sound Radiation from Vibration
- Vibrating surfaces radiate sound waves
- Sound power ∝ velocity² × area (approximately)
- Correlation: Higher vibration generally → higher SPL
- But relationship complex (radiation efficiency varies)
Diagnostic Correlation
- Bearing problems: High-frequency hissing or grinding
- Gear problems: Characteristic whine at mesh frequency
- Unbalance: Low-frequency rumble at 1×
- Cavitation: Random crackling or popping
Acoustic Spectrum Analysis
Tonal Components
- Gear Mesh: Pure tone at tooth engagement frequency
- Blade Passing: Fan or compressor blade frequency
- Electrical: 120/100 Hz hum from motors
- Bearing Tones: Fault frequency harmonics
Broadband Noise
- Aerodynamic: Turbulence, flow noise
- Cavitation: Random bubble collapse
- Bearing Damage: Broadband increase with defects
- Friction: Continuous random emissions
Applications
Condition Monitoring
- Complement vibration measurements
- Early bearing defect indication (noise increases before vibration)
- Gear wear monitoring (noise quality changes)
- Quick qualitative assessments
Quality Control
- New equipment acceptance (noise limits)
- Post-repair verification
- Product quality in manufacturing
Regulatory Compliance
- Occupational noise exposure (OSHA, EU directives)
- Community noise limits
- Equipment specifications
- Documentation requirements
Troubleshooting
- Locate noise sources
- Identify contributors to overall facility noise
- Validate noise reduction measures
Typical Machinery Noise Levels
By Equipment Type
- Electric Motors: 70-85 dBA
- Centrifugal Pumps: 75-90 dBA
- Fans/Blowers: 80-100 dBA
- Gearboxes: 75-95 dBA
- Compressors: 85-105 dBA
- Diesel Engines: 95-110 dBA
Noise as Diagnostic Indicator
Increasing Noise
- Bearing deterioration (grinding, squealing)
- Gear wear (whine intensity increases)
- Lubrication problems (increased friction noise)
- Looseness (rattling)
Changing Noise Character
- New tones appearing
- Frequency shifts
- Intermittent noises
- All indicate developing problems
Measurement Standards
- IEC 61672: Sound level meters specification
- ISO 3744: Sound power determination
- ISO 1680: Machinery noise testing code
- ANSI S12.19: Machinery noise measurements
Sound pressure level, while primarily a health and environmental metric, provides valuable diagnostic information correlated with mechanical condition. Acoustic measurements complement vibration analysis, sometimes providing earlier indications of bearing or gear degradation, and are essential for comprehensive machinery assessment combining mechanical vibration with acoustic radiation for complete equipment health evaluation.