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April 2, 2021, 07:54 PM #1
Vibration impact on cables - theoretical analysis
A conductor moving in a magnetic field will create a voltage proportional to the length of the conductor, the strength of the magnetic field, and the velocity the conductor is moving through the magnetic field.
emf=l*h*v
This is Faraday’s Law.
l=length of the conductor in meters
h=field strength in Tesla’s
v=velocity of the conductor in meters/sec.
The earth’s magnetic field is about 0.00005 Tesla.
A 1m cable vibrating with a velocity of 1 m/s would create. 50 uV signal which is actually well above the noise floor of a good system.
Here is the derivation.
I used a sine wave in the analysis to make the math simple. Arbitrary waveforms can be analyzed using Fourier analysis.
The amplitude A of a vibration needed to create a velocity v of the same conductor is simply A=v/w where w= angular velocity = 2*Pi*f where f = frequency of the vibration.
So, at 1 kHz and a velocity of 1 m/sec we get an amplitude of 160 microns. About the width of a human hair. Slightly larger than an RCH, probably about the same width as a muggeseggele. (Look it up)
Is this audible? I don’t know and it’s not my purpose here to make that call. Believers will believe, non-believers won’t - pretty cut and dried.
Suffice it to say that a small amount of movement in a wire is enough to create a voltage that will turn your beautiful 24 bit signal (really only 21 bits but that’s a subject for another day) into a 14 bit one.
Somebody asked about vibration effects on other electronic components. Sure, there are plenty. Common ceramic capacitors with high Q dielectrics like X7R and COG exhibit piezoelectric properties and so can create voltages under vibration. This is especially true of MLCC SMT capacitors. Other large film and foil capacitors will also exhibit value modulation under vibration. The Crystal oscillators that are so foundational to digital audio are very susceptible to even small vibrations, which modulate their output frequency.Tom
Audio:
Amati Futura Mains
Amati Homage VOX Center,
Proac Response 1sc Rears,
Three MC2301's for L,C,R
MC 602 for the rears
C 1100, MX 151, MCD 1100, MR 77
Nottingham Dais with Sumiko Palo Santos Presentation
SurfacePro 3, JRiver, WW Starlight Platinum USB, Schiit Yggdrasil, Benchmark DAC3 HGC
Video:
MX 151, OppO BDP-95, JVC RS-500 DILA projector, 106" diagonal Stewart Luxus Screenwall Deluxe with Studiotek 130 G3 material.
Lake House:
Ohm F, MC 275V, C2300, MR 80, Rega P3
OnDeck:
McIntosh MAC 4300v
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April 2, 2021, 08:41 PM #2
Re: Vibration impact on cables - theoretical analysis
Nice analysis, Tom.
I've got a simple listening test folks can do for themselves.
1) Order a pair of Shunyata DF-SS cable suspension system cable supports.
2) Put a set of the DF-SS supports under one speaker cable only.
3) Listen to a well-mastered recording where the music is fairly equally distributed between both channels, e.g. a symphonic classical recording.
4) Compare the channel with the DF-SS cable support to the speaker with it's cables lying on the floor.
I did this late last year by accident and was surprised by the results.
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April 3, 2021, 07:37 AM #3
- Join Date
- May 2017
- Location
- Cleveland, Ohio, USA
- Posts
- 531
Re: Vibration impact on cables - theoretical analysis
a] What about the circuit impedance in the above equation?
b] Remember that a cable has two conductors and the signal is differential mode while this induced voltage is common mode.
c] Some high-tech cell-phones have accelerometers. So you can actually measure how well different isolators and absorbers work.
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April 3, 2021, 08:15 AM #4
Re: Vibration impact on cables - theoretical analysis
2chl : Vincent Sp331MkII, W4S STP-SE Stage 2, Kef 201/2, KEF 140, Vapor Breeze, Lumin, Bryston CD, BHA-1, Quicksilver Headamp, HD650, HD800s, HD820's, Dan Clark 1.1, Focal Stellia, OPPO 203, 105. ( Boxed up: Pass Xa-30.5, VPI Classic, Dynavector DV-20XL, Manley Chinook, Cadenza Bronze)
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April 3, 2021, 01:06 PM #5
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April 3, 2021, 01:44 PM #6
Re: Vibration impact on cables - theoretical analysis
a) impedance of the wire - at audio frequencies very low.
b) true - balanced cables with electronics that have decent CMRR would eliminate this issue entirely. For unbalanced interconnects current will flow in the shield.
c) neat. velocity is the integral of acceleration so should be able to find velocity knowing acceleration.Tom
Audio:
Amati Futura Mains
Amati Homage VOX Center,
Proac Response 1sc Rears,
Three MC2301's for L,C,R
MC 602 for the rears
C 1100, MX 151, MCD 1100, MR 77
Nottingham Dais with Sumiko Palo Santos Presentation
SurfacePro 3, JRiver, WW Starlight Platinum USB, Schiit Yggdrasil, Benchmark DAC3 HGC
Video:
MX 151, OppO BDP-95, JVC RS-500 DILA projector, 106" diagonal Stewart Luxus Screenwall Deluxe with Studiotek 130 G3 material.
Lake House:
Ohm F, MC 275V, C2300, MR 80, Rega P3
OnDeck:
McIntosh MAC 4300v
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May 29, 2021, 07:46 AM #7
- Join Date
- Mar 2018
- Posts
- 435
Re: Vibration impact on cables - theoretical analysis
Another theory is the vibration of the wire changes the string resonance, much like the way audio points and cabinet damping change the sound of components. Google "Vansevers Pandora Power Cord". I borrowed a prototype of this cord for a while. At the risk of sounding like a fruitcake I can say it does what is described in the article.
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AudioShark forum is a leading forum site for High End Audio Discussion, Stereo System Discussion, Home Theater System Discussion, Best Home Stereo System Discussion, Home Theater Installation Discussion etc.
The AudioShark forum was created for sharing the passion of high-end Audio. We have Audiophiles from all over the world participating and sharing their knowledge. From novice to experts, you will find a friendly environment for discussing about High End Audio, Stereo System, Home Theater System, Home Stereo System, Home Theater Installation, Amplifiers, Speakers, Subwoofers, Integrated System, Acoustic treatments & Digital Room Corrections and many more.
At AudioShark, we also have incorporated an exciting Marketplace where members can peruse terrific buys on used gear, as well as meet dealers and discuss the purchase of new gear.
We are as crazy about this hobby as you are! So come on in and join us! Audioshark.org the Friendliest Audio Forum!
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