19 - Noise Flashcards
Context
Noise energy produced by rolling wheel is of the order of 1 millionth of the energy taken to drive the train
Enough to be an annoyance and subject of legislation
Noise limits set through EU Technical Specifications for Interoperability and UK’s Rolling Stock Noise National Technical Specification Notice
Rail-wheel interface noise
Straight track - ‘rolling noise’ with broad frequency content
Discrete features such as rail joints and wheel flats generate impulsive noise
Curves - loud ‘curve squeal’ often dominated by single frequencies
All originate at wheel-rail interface, but noise not always emitted from interface itself
For curve squeal, modes of vibration of whole wheel are responsible for noise
For both rolling and impact noise, vibration of whole wheel structure and considerable length of track involved in noise generation
At low frequencies, vibration is transmitted from track through ground and may be experienced as vibration (4-80Hz) or low-frequency rumbling noise (30-350Hz)
Sources of railway noise
Aerodynamic noise (high speeds)
Traction noise (dominated by noise from fans or engines)
Wheel-rail interface is origin of most important sources of noise
Noise and vibration basics
Sound consists of audible fluctuations in air pressure which propagate through air as waves with speed of 340m/s at 20C
Range of pressure variations perceptible by human ear is between 20 microPa and 200,000,000 microPa
To express sound magnitude, root mean square is used
Pressure basics
Logarithmic unit of the decibel (dB) scale is used
Not an absolute unit of measurement but specifies relationship to audio threshold (i.e. tells us by how much a sound exceeds audio threshold)
Sound power basics
Total sound emitted by a source can be quantified by its power, W
Directivity index (DI) depends on how directional sound is
Radiates in all directions (e.g. bursting balloon) with no concentration in any direction - DI = ln(1) = 0
Radiates as a hemisphere (e.g. sound source close to ground) so sound above ground will be double normal level - DI = ln(2) = 3
Proportion of mechanical power converted to sound is typically 10^-7 to 10^-5 - acoustic efficiency is very low
Vibration basics
Vibration of a structure can be expressed in terms of its: displacement; velocity; acceleration and frequency
Radiating efficiency depends on structure’s shape and size
Rolling noise - surface roughness
Causes noise as wheel and rail running surfaces are not perfectly smooth
Rail and wheel roughness interact, cause vibration, both vehicle and track radiate noise
Wavelengths of 5-250mm produce vibrations in audible frequency range
Amplitudes of roughness sufficient to generate noise are in range from tens of microns at long wavelengths to less than a micron for short wavelengths
Generally, amplitude is around 10^-4 times roughness wavelength - often not visible on surface
Reducing rolling noise
‘Contact filter’ implies that rail-wheel contact will itself filter out some sources of vibration
Roughness wavelengths that are short relative to contact size (10-15mm) excite vibration of the system much less than larger wavelengths
Rolling noise covers frequency range of approximately 100-5000Hz, with peak in range 500-2500Hz
Noise radiation - track or wheel?
Wheel and track both vibrate as result of roughness excitation
Systems act as amplifiers to noise, radiating sound over much larger area than contact itself
Relative importance of wheel and track component of sound radiation depends on details of design as well as train speed and roughness spectrum
Noise radiation depends on combined roughness of wheel and track
Possible that a rough wheel causes significant noise to be radiated mainly by track vibration or vice versa
Radiation of noise - wheel
Railway wheel is lightly damped, resonant structure
Can vibrate freely at series of resonant frequencies or ‘natural’ frequencies
Associated vibration patterns are mode shapes
Rolling noise caused by excitation in vertical direction
Modes with large radial motion in tread area are most important
FE is effective at calculating modes
Radiation of noise - track
Behaviour of track is characterised by waves propagating away from excitation point
Vibration peaks are caused by whole track vibrating on stiffness of ballast
Rail may vibrate on stiffness of rail pad
Periodic support by sleepers can produce vibration where half wavelength of rail matches sleeper spacing - important for corrugation growth, less important for noise
Above frequency of rail-on-pad ‘resonance’, bending waves propagate in rail and can be transmitted over large distances
Waves decay with distance due to damping effect of pads and fasteners - significant effect on noise radiation
Longer section of rail vibrating for each wheel, more noise is radiated
Decay rate in dB/m is used to describe how quickly vibration of rail decreases with distance from excitation point (wheel contact)
Stiffer rail pads cause more rapid decay rate between around 300 to 2000Hz
Noise radiation - breakdown
Breakdown changes with frequency, depending on resonance of wheels, rail pad stiffness etc.
Most important sources of noise
Sleepers at low frequencies
Rails in mid-frequencies
Wheels at high frequencies
As speed increases, noise spectrum peak shifts towards higher frequencies, giving greater importance to wheel in total sound level
Reduction of excitation
Smooth wheels and rails